EINSTEIN’S MAJOR ASSUMPTIONS, POSTULATES & GOALS

*Einstein assumed that
all physical laws of nature must be symmetrical and transformed into the same
algebraic form for every inertial observer; that all measurements must be
physically made with coordinates by hand and eye approximations; and that
stationary ether was superfluous to his theory, therefore all motions and times
are relative. He postulated that a
radical mathematical principle of relativity applies so as to make all laws of
nature ‘co-variant.’ For Einstein,
‘co-variance’ meant that each law of nature must be constituted so that its
space-time coordinate variables of magnitude will be transformed by Lorentz
transformations into a law of exactly the same algebraic form for every
inertial observer. As a result, 1) the
magnitudes of all non-EM physical phenomena must mathematically vary depending
upon their relative velocities, and similarly
2) Einstein postulated that mathematically light *en vacuo* must propagate relative to all linearly
moving inertial bodies at the absolutely constant velocity of c. But it turns out that most of Einstein’s
mathematical assumptions, and both of his fundamental mathematical postulates,
were not correct: logically, physically
or empirically.*

Remember from Chapter 16 that
Poincaré assumed in 1904 that all physical laws of nature (including light)
must be the same for all inertial observers, regardless of their different
uniform velocities. (see Logunov, p. 25) This assumption (which Poincaré called the
‘principle of relativity’) seemed to be reasonable: 1) because the algebraic laws of mechanics
were empirically the same (mechanically covariant) for all inertial observers
regardless of their different uniform velocities (Galileo’s Relativity); 2) because Maxwell’s law for the constant
transmission velocity of light at *c* relative to the medium of stationary
ether was theoretically the same for every inertial observer (Rohrlich, p. 52);
and 3) above all because such assumption
would theoretically explain why terrestrial light experiments could not detect
the motion of the Earth through the stationary ether.

Remember also from Chapter 16, that
in his April 1904 treatise, Lorentz transformed the space and time coordinates
in the M & M experiment with his own radical Lorentz transformation
equations. Lorentz did this for three
main reasons: 1) in order to
mathematically do away with the troublesome factors (*c* – v and *c*
+ v) which the Galilean transformation equations had previously produced;[1] 2) to achieve the necessary theoretical
contraction of the longitudinal arm on Michelson’s apparatus in order to
explain away Michelson’s ‘missing’ time interval and thus to mathematically
justify the paradoxical M & M null result with respect to stationary ether;
and 3) so that his results would be
consistent with Poincaré’s principle of relativity (expanded to include
electrodynamics and light as well as mechanics) which Poincaré had been talking
about.[2]

It is asserted by the author that
when Einstein read Lorentz’s above described April 1904 treatise and Poincaré’s
writings about his expanded principle of relativity in the latter part of 1904
or the early part of 1905, Einstein soon realized that Lorentz’s and Poincaré’s
new concepts could mathematically resolve the ‘difficulties’ between the
relativity of mechanics and Maxwell’s velocity of light, if they could be
reinterpreted in a radically different way.
Most importantly, Einstein realized that Maxwell’s electromagnetic law
for light waves at velocity *c* (when transformed by the Lorentz
transformations) would remain mathematically invariant and constant in both of
Lange’s inertial reference frames. In
other words, Maxwell’s law could retain the same invariant algebraic form (*c*)
for every inertial observer anywhere in the Cosmos, regardless of such inertial
observer’s different linear velocity v relative to the light ray. This result could also mathematically explain
why no light experiment (including the M & M experiments) had been able to
detect whether an inertial frame (i.e. Earth) was moving or not.[3]

The *ad hoc* 1904 theories of
Lorentz and Poincaré then became a template for Einstein’s 1905 Special Theory,
his two fundamental postulates, his Lorentz transformations, his relativistic
kinematics and dynamics, and all of the other bizarre mathematical consequences
of his Special Theory. One major problem
with this happy scenario was that the ‘difficulties’ which Einstein imagined to
exist with respect to the velocity of light were never a __real__ problem
that needed any solution, mathematical or otherwise. Such ‘difficulties’ (including the baffling M
& M null results) were merely very explainable paradoxes. All that was needed was the correct analysis
and explanation of the situations, so that all of such perceived ‘difficulties’
and paradoxes would completely disappear.
These correct analyses and explanations are primarily set forth in
Chapters 6 – 7, 10 – 12 and 19 – 24 of this treatise.

Before Einstein began to write his Special Theory in 1905, he obviously had developed various goals for his treatise (see Memo 20.1), and numerous fundamental assumptions concerning its content. In this Chapter, we shall identify, discuss and begin to analyze these basic assumptions, his two fundamental mathematical postulates, and the major goals that Einstein assumed would resolve all of the ‘difficulties’ and paradoxes described in our Chapter 19 and elsewhere in this treatise.

A. Einstein assumed that all physical laws of nature (including the velocity of light) must be constituted so that they are described to be algebraically symmetrical for every inertial observer.

The word ‘symmetry’ is generally defined as a ‘similarity of form or arrangement on either side of a median or dividing line that results in an aesthetically pleasing whole or beauty.’ It implies a graceful proportion, a pleasing harmony and aesthetic balance of the parts. ‘Symmetry’ can also be interpreted to have other meanings. For example, in mathematics, it can mean creating an equation or relationship whose terms or parts can be interchanged without affecting its validity.[4] (Webster’s Dictionary, p. 1356) When a mathematician (such as Einstein) describes a formula or a mathematical law as beautiful or elegant, he usually means that it has most or all of the above qualities.

It is apparent from the very first paragraph of Einstein’s 1905 Special
Relativity treatise that he was convinced that all physical laws of nature
(including electrodynamics) must be described so that they are __symmetrical__
for every inertial observer, but that they were not being described by the
scientific community in a symmetrical manner.[5] For example, Einstein asserted that the
“customary view” of Faraday’s reciprocal electrodynamic action of a magnet and
a conductor (which induces an electric current in a wire) involves two very __asymmetric__
descriptions: one body or the other is __at
rest__ and the other body is moving.[6] (see Hoffmann, 1972, p. 69) Instead, Einstein concluded: “the observable phenomenon here only depends
upon the __relative motion__ of the conductor and the magnet.”[7] (Einstein, 1905d [Dover, 1952, p. 37])

It is true that many __different
types of symmetry__ do exist in physical laws. A sphere, a crystal and a snowflake are all
symmetrical in ‘shape.’[8] A
flower, a vegetable, and a human being show some degree of symmetrical
shape. There are also symmetries of
‘identity’ in physics. For example, all
electrons and all hydrogen atoms are theoretically identical, so in this sense
they are symmetrical.

There are other interpretations of symmetry. The horizontal displacement of two identical
moving apparatuses in space or in time on the surface of the Earth should have
no effect upon their physical operations.
Their motions should be exactly the same (symmetrical) regardless of
their locations (positions) or times of operation. (Feynman, 1963, pp. 52-1, 52-2) Similarly, there is a symmetry or equivalence
of accelerated motions that occurs on any terrestrial platform with a uniform
velocity in a straight line (a motion of __translation__). Such accelerated motions will occur so that
the laws of mechanics (and the algebraic form of such laws, F = ma) will appear
to be the same (mechanically covariant) on all inertial bodies (Galileo’s
Relativity). (*Id*.__inferred__
this type of symmetry for two inertial reference frames in a relative
translational motion, and accelerated motions occurring thereon. (Chapter 14)
This mathematical version of Galileo’s Relativity, the implied covariant
symmetry of mechanical accelerations produced on inertial reference frames in
relative translational motion, is also what Einstein was alluding to in his
‘induction of a current’ analogy.[9] However, Einstein’s ‘induction’ analogy went
far beyond Galileo’s Relativity and further inferred that relative inertial
motion applies to the realm of electrodynamics, as well as to mechanics.[10]

Based partly on his very limited knowledge of astronomy and partly on his assumptions of symmetry, Einstein later conjectured in his Special Theory that space is isotropic (it has the same properties in all directions), and that space and time are both homogeneous (all points in space and time are equivalent). (Einstein, 1905d [Dover, 1952, pp. 43 – 44]) As we shall see in Chapters 25 and 27, these theoretical extensions of symmetry to space and time would be necessary for Einstein to assert the constancy of light propagation in opposite directions, and to ‘derive’ his Lorentz transformation equations.[11] (Resnick, 1968, pp. 56 - 57)

On the other hand, it is also true
that there are as many exceptions and limitations to such symmetries as there
are valid applications of them. For
example, all snowflakes are symmetrical in ‘shape,’ but no two are
symmetrically ‘identical.’ Identical
apparatuses will not necessarily operate the same way if they are located in
very different climates, at very different altitudes (because of gravitation),
or if they are rapidly revolving (because of centrifugal forces). An apparatus or structure that operates well
at one scale may not operate the same way (symmetrically) at a much larger or
smaller scale. Most living things have
many asymmetries, such as a head and a tail, roots and flowers, one heart on
one side of the body, etc. Many
revolving ‘spheres’ (such as the Earth) bulge asymmetrically at their equators;
their orbital motions are not symmetric circles, but rather are ellipses. Similarly, time is not necessarily symmetrical. For example, an egg once cracked and cooked
cannot be symmetrically reversed in time. [12]
(Feynman, 1963, pp. 52-2, 52-3) Thus,
not all physical laws or phenomena are or can be symmetrical in every way. (*Id*., pp. 52-11, 52-12) As Smolin concludes: “Nature becomes less rather than more
symmetric the closer we look.” (Smolin,
p. 219)

Why was Einstein so demanding of
symmetry in his Special Theory? One
major reason is because he needed the concept of symmetry in order to
rationalize his way to his ultimate *ad hoc* conclusion: that all laws of nature (including the
velocity of light at *c*) must retain the same (symmetric) algebraic form
for every inertial observer. (see
Chapter 20E) This false conclusion grew
out of the fact that the algebraic form of *ad
hoc* mathematical concept: that
Maxwell’s natural law for the constant velocity of a light ray *en vacuo*
must always retain exactly the same (symmetrical, invariant and covariant)
algebraic form of *c* (300,000 km/s) with respect to every inertially
moving observer on every inertial frame or body, regardless of such observer’s
different linear velocity relative to the light ray. (Chapter 20F and 21D) There were also many other applications of
symmetry in Einstein’s Special Theory.
(see Memo 20.2)

Concerning the velocity of light, and contrary to Einstein’s new
relativistic covariant concept, we will discover in Chapters 21 and 22 that the
constant transmission velocity of a light ray at *c* should theoretically
be described to have the same invariant magnitude of 300,000 km/s relative to
the __medium__ of empty space through which it propagates.[13] However, with respect to each material
observer moving linearly at a different speed relative to such light ray, the
velocity of the __propagating__ light ray is logically and empirically
measured to have a different magnitude (either more or less than 300,000 km/s) __relative
to__ such linearly moving observer.
Such __relative velocity__ of the light ray propagating over varying
distances and time intervals depends upon the speed of the inertial observer
and his direction of motion either toward or away from such light ray. (see Figures 20.3 and 21.1) Einstein’s __impossible__ attempt to
mathematically require that every light ray __propagating__ over different
varying distance/time intervals must always have exactly the same (symmetrical)
absolute velocity (of 300,000 km/s) __relative to__ every different material
observer moving at a different linear velocity relative to the light ray
(Chapter 21E), is what Special Relativity is all about.

“The symmetries most deeply embedded in contemporary theory are those
that come from Einstein’s special and general theories of relativity. The most basic of these is the relativity of
inertial frames.” (Smolin, p. 219) Because of the almost universal acceptance of
Einstein’s relativistic theories, ‘observed symmetry’ has now been elevated to
a __necessity__ in theoretical physics.
(*Id*., p. 218)

“Modern physics
is based on a collection of symmetries, which are believed to enshrine the most
basic principles. No less than the
ancients, many modern theorists believe instinctively that the fundamental theory
must be the most symmetric possible law.”[14] (*Id*.

Throughout the remainder of this treatise we will demonstrate that this absolute necessity of symmetry in physics is not correct.

As will become obvious during the remainder of this treatise, Einstein assumed the validity, applicability and necessity of his artificial system of measurement for the description of physical laws, which system of measurement he designed for the express purpose of achieving his relativistic goals. Briefly, Einstein’s system of measurement was as follows. An observer (a measurer) situated in one inertial frame of reference (which he also defined as a system of coordinates[15]) would visually measure and physically plot on Cartesian coordinates the time and space coordinate magnitudes of an event occurring in another inertial frame of reference (system of coordinates) which was moving linearly with respect to the first frame at the uniform relative velocity of v; and vice-versa.[16] Einstein generalized his system of measurement, as follows:

“Of course we
must refer the process of the propagation of light (and indeed every other
process) to a rigid reference-body (co-ordinate system).” (Einstein, *Relativity*, p. 22)

In Chapter 22 we will explain why this reference of light propagation to a material co-ordinate system is, in general, an impossible concept. All of the spurious axioms, assumptions, rationalizations, and conventions that Einstein invented for his system of measurement are further described and analyzed in Chapters 21 and 24 – 29.

It is an obvious fact that hand and eye coordinate measurements made between two distant inertial frames (bodies) with different velocities will always produce imprecise, distorted and at best approximate coordinate results. One reason is that during the time interval delay for the light signal to propagate from one frame to the other, the relative velocity of the frames will constantly change the relative coordinate positions of objects being measured on the two frames. It is also obvious that this archaic method of distant measurement is inherently an unreliable and imprecise method of measurement.[17] Yet, without this dubious type of coordinate measurement, Einstein would never have been able to contrive his concept of Relativistic Kinematics (Chapter 28) nor his Special Theory as a whole.

In the 21^{st} century,
radar and laser beams, light and electronic sensors, software programs, digital
computers and television cameras describe and measure physical laws and
magnitudes on one inertially moving distant planet (i.e. Mars) and transmit
such data at the speed of light to another distant inertially moving planet
(vis. Earth) without any coordinate measurements or transformation
equations. However, even if such modern
technology had been available in 1905, Einstein could not have used such modern
methods of measurement for his Special Theory.
Why? Because he would not have
been able to manipulate such high tech measurements and misinterpret their
results in order to construct his relativistic mathematical theories.

Einstein’s arbitrary system of measurement resulted in numerous spurious relativistic concepts and in numerous mathematical formulae, most importantly his Relativity of Simultaneity and Distance (Chapter 26), his Lorentz transformation equations (Chapter 27), his Relativistic Kinematics (Chapter 28), and his relativistic formula for the Composition of Velocities (Chapter 29) Once Einstein arrived at a mathematical formula for such measurements he no longer had to physically make eye and hand coordinate measurements. At this point, all Einstein had to know were the relative velocities involved, and the distorted ‘measurements’ that he needed would follow with mathematical precision.

Einstein used his artificial system of measurements and his mathematical
formulae to demonstrate his concept for the absolute propagation velocity of
light at *c* and the rest of his Special Theory. He also attempted to extend his Special
Theory to other phenomena (i.e. mass and energy, and space and time) and to
confirm his Special Theory with data selectively chosen from somewhat related
experiments. The only problem was that
his system of measurements and his relativistic mathematical formulae, data and
concepts derived therefrom were all completely *ad hoc*, artificial,
arbitrary, contrived, invalid and meaningless.

C. Einstein assumed that ether was superfluous to his Special Theory, and that all motions are relative.

Directly after Einstein’s example of asymmetries in the description of Faraday’s process for the induction of an electric current, Einstein asserted as follows:

“Examples of this sort,
together with the unsuccessful attempts to discover any motion of the earth
relatively to the ‘light medium,’ __suggest__ that the phenomena of
electrodynamics as well as of mechanics possess no properties corresponding to
the idea of __absolute__ rest.” (Einstein,
1905d [Dover, 1952, p. 37])

One assumes that these statements were made to bolster Einstein’s aforementioned assumption that all motions are relative, and to imply that the fictitious ‘light medium’ of stationary ether might not exist.[18]

If there is no such thing as ‘absolute rest,’ it follows that there can
be no absolute space and no stationary ether reference frame from which to
absolutely measure: motion, direction of
motion, velocity, distance traveled, or anything else. It also follows that if there is no absolute
motion then all motion must be relative.
For this reason, all measurements of motion must be made from a __relatively
stationary__ point or event, or from one co-moving reference body to another
co-moving reference body, and vice-versa.
It also follows that rest, velocity, distance traveled and direction of
motion are also relative concepts. These
are all reasonable and correct assumptions.

However, we must then ask the question:
Were Einstein’s above assertions and suggestions concerning the
non-existence of absolute rest __only__ intended to bolster his assumption
that all motions are relative, and to imply that stationary ether might not
exist? One would think not, for the
following reasons.

First, the assumption that all motions are relative had already been implied or asserted by numerous other scientists, including Galileo, Newton, Maxwell, Lange, and Poincaré, so by 1905 it was not a new idea. Other prominent physicists (including Maxwell, Lange and Poincaré) had also questioned the existence of stationary ether and/or absolute rest; Michelson had even categorically denied the existence of ether in his 1881 paper. (Chapter 9) Therefore, by 1905, Einstein’s aforementioned suggestions were only echoing the conclusions of others concerning relative motions and the non-existence of ether and absolute rest.

Second, Einstein’s example of “the unsuccessful attempts to discover any
motion of the earth relatively to the ‘light medium’… [which] has already been
shown to the first order of small quantities” (*Id*., p. 37), undoubtedly
refers to the failure of all light experiments conducted on the Earth which
were intended to detect and measure the solar orbital velocity of the Earth (30
km/s) relative to stationary ether. In
the very next sentence of his 1905 paper, Einstein conjectured that the
failures of such light experiments suggest that the concepts of Galileo’s
Relativity and the Galilean transformation equations of mechanics should be
extended and generalized so as to apply to electrodynamics and optics as well
as mechanics. Einstein’s exact words
were:

“[Such
failures] suggest that…the same laws of electrodynamics and optics will be
valid for all frames of reference for which the __equations__ of mechanics
hold good. We will raise this conjecture
(the…‘Principle of Relativity’) to the status of a postulate…”[19] (Einstein, 1905d [Dover, 1952, pp. 37 –
38])

Thus, it appears that Einstein’s major reason for all of such
aforementioned assertions and such examples was really to bolster his
conjecture that Galileo’s Relativity and the Galilean transformation equations
of mechanics should be generalized to include electrodynamics and optics. In any case, Einstein’s above conjecture was
a *non sequitur*, because it turns out that Galileo’s Relativity had
nothing to do with such light experiments or their failures, nor with
electrodynamics or optics. (Chapters 23
& 24)

Third, Michelson’s 1881 and 1887
interference of light experiments would also come within the category of such
failed light experiments, *albeit* to a higher order of
approximation. We now know the reasons
why Michelson’s experiments did not detect any motion of the Earth (Chapters
10, 11 and 12), and these reasons had nothing to do with Galileo’s Relativity,
nor with the Galilean transformation equations of mechanics. So why should we believe that any of such
failed light experiments are compelling evidence that the concepts of Galileo’s
Relativity and the Galilean transformation equations for mechanics should be
extended to apply to electrodynamics and optics? There is no logical or empirical reason.[20]

Einstein’s real reason for all of
the above suggestions was his attempt to generalize Galileo’s empirical and
sensory concepts of relativity and the Galilean transformation equations to
include electrodynamics and optics (in other words, to include the velocity of
light), because the generalization of such concepts was absolutely essential to
his Special Theory. Einstein needed an
empirical foundation for his mathematical Special Theory. Without the empirical foundation which
Galileo’s Relativity might provide, his Special Theory would have no empirical
basis, and like Lorentz before him it would be viewed by the scientific
community as only an *ad hoc* mathematical exercise of the
imagination. Therefore, Einstein needed
to attempt to connect and characterize Galileo’s sensory and empirical concept
of relativity as his empirical foundation.
He also needed the Galilean transformation equations to blame for the
‘difficulties’ with the velocity of light that he imagined, and in order to
modify them into his Lorentz transformation equations. Much more about this later.

Specifically with reference to
relative motion, Einstein stated, “every motion must be considered only as a
relative motion.” (Einstein, *Relativity*,
p. 67) He also asserted that relative
linear motion exemplified the symmetry of reciprocity. For example:

“we can express the fact of [relative linear motion]…in the following two forms, both of which are equally justifiable:

(a) The carriage is in motion relative to the embankment.

(b) The embankment is in motion relative to the
carriage.” (*Id*.

With respect to
these examples, Einstein would state that the relative linear velocity v in
example (a) is __reciprocal__ to the relative velocity –v in example (b),
and vice-versa. (see Einstein, 1905d [

Let us now analyze these concepts of relative linear velocity with other specific examples. The Stanford Linear Accelerator is a huge building that is approximately 2 miles long. Inside the accelerator building, atomic particles of matter are theoretically accelerated down its length at about 99% of the velocity of light relative to the accelerator building. (see Figure 20.3A) Special Relativity claims that at this relative velocity such particles contract in length to only about 15% of their former rest length, that the mass of such particles increases about 7 times, and that the duration of time (eternity) on such particles slows down about 7 times. (see Chart 15.4 & Figure 15.3, and Figure 16.2 & Chart 16.3) It would, of course, be difficult or impossible to empirically prove or disprove any of these claims, so Einstein implied that we should just take his word that such claims are valid.[21]

But, what about the linear
accelerator and the people in it? If
such atomic particles were relatively moving in one linear direction at 99% of *c*,
then Einstein would say (based on symmetry) that the accelerator building and
the people in it are reciprocally moving at 99% of *c* relative to the
atomic particles in the opposite linear direction. (Einstein, *Relativity*, p. 67) According to Special Relativity, this means
that the accelerator building (and such people) should contract in length to
only about 15% of their former rest length, that the mass of such building (and
such people) should have increased about 7 times, and that the duration of time
(eternity) in such building should slow down about 7 times.

However, we, situated in the
accelerator building, do not notice any of these relativistic effects. Neither do any of the other people on the
Earth, many of whom are also theoretically moving reciprocally at 99% of *c*
relative to such atomic particles.
Therefore, it is rather difficult for us to believe Einstein’s
relativistic predictions. The empirical
results of these simple thought experiments should give us pause and make us
wonder: Do not such null results
constitute a serious contradiction to Special Relativity? Such null results should also (at this early
juncture) be a convincing demonstration that Einstein’s Special Theory is
possibly internally inconsistent and even meaningless.

Einstein also stated that he could
not attach any meaning to “motion in itself,” but only to “motion with respect
to the body of reference chosen in the particular case in point.” (Einstein, *Relativity*, pp. 59 –
60) In other words, Einstein could not
find any meaning with respect to motion or velocity in the __abstract__, but
only with respect to __relative motion__.
For example, Einstein claimed that the abstract motion of the Earth
through cosmic space does not produce a contraction of things on Earth, whereas
the same motion of the Earth through cosmic space relative to the Sun does? (*Id*., p. 60)

Einstein’s definition and description of relative motion depends upon the
body of reference that the measurer chooses in order to mathematically describe
such motion. (*Id*., pp. 59 –
60) Since there are an uncountable
number of linearly moving bodies in the universe, the relative motion that the
measurer describes depends upon which reference body such measurer
chooses. Thus, such measurer could
describe one or an infinite number of relative motions. If, after making a choice, the measurer
changes his mind and chooses a different body of reference, then theoretically
his relative motion will also suddenly change.
But, again, no physical effect is noticed.[22]

Strangely enough, Special Relativity
does not claim that length, time, mass and many other physical phenomena are __velocity__
dependent. Instead, it only claims that
these phenomena are dependent upon a __relative__ velocity. Think about this claim for a few
moments. Why is an abstract velocity
through empty space physically different than a velocity relative to a
body? What is so special about a
relative velocity that theoretically it can relativistically and physically
change the magnitudes of such physical phenomena, and at a distance? (see Figure 20.3B) How does this magical process occur? [23]

When a body translates from one point to another at a uniform velocity, the laws of nature on such body are the same at any point along the way. Galileo demonstrated this fact with respect to mechanics with his uniformly moving ship analogy. At the end of the nineteenth century this fact was also described mathematically with the Galilean transformation equations, which compared the coordinate measurements of a body at two different points along its uniform translation.

But
when Einstein and others tried to do the same thing with the constant velocity
of light at *c* (300,000 km/s), the coordinate measurements of *c* at
point A mathematically changed to *c* – v when compared to the coordinate
measurements of *c* on body B moving away from A at uniform velocity
v. Einstein interpreted this result to
be a violation of translational symmetry; in other words, Maxwell’s law of the
constant velocity of light at *c* had a different velocity at two
different locations…point A and point B.
(see Einstein, *Relativity*, pp.
22 – 23)

Einstein’s
entire Theory of Special Relativity was invented in order to mathematically
require that the measurement of a __relative velocity__ (i.e. *c* – v)
would always remain absolutely velocity *c* with respect to any linearly
moving body B when measured from point A.
In other words, mathematically symmetrical.

**D. Einstein
assumed that all times are relative.**

It follows from the finite velocity
of the light signal and the abolition of absolute rest, stationary ether, and
absolute space that there can be no __absolute__ measurement of an instant
in time or of an interval of time that would be valid for all observers in the
Cosmos. Thus, there can be no such thing as an absolute ‘true time’ for all
observers measured from absolute rest, from absolute space or from stationary
ether. Nor can there be a ‘local time’
based on ‘true time.’[24] All instants and time intervals must also be
relative to an observer. Therefore, all
measurements of an instant or of a time interval must be made from one
relatively stationary point or event to another, or from one co-moving
reference body to another co-moving reference body, and vice-versa.

Based upon Römer’s observations of
eclipses of the Jovian moon Io, the resulting __finite__ distance/time
interval delay of the light signal, and Bradley’s empirical confirmation
thereof (Chapters 6 and 7), it follows that the instant of occurrence of a
distant light event cannot be simultaneous with the local observation of such
event. A local observer’s judgment of
the local time for the occurrence of a distant light event must factor in the
distance/time interval delay of the light signal at *c* from the position
and instant of such distant event, to the position and instant of its
observation by such local observer.
Therefore, the Galilean transformation equations for an instant in time
(t = t') with respect to the occurrence of spatially separated events cannot be
simultaneous; in other words, t cannot equal t'. Einstein assumed and asserted that the
Galilean transformations for the local instant in ‘time’ (t) of a distant event
must be revised.[25] These assumptions by Einstein were correct, but they were not a revelation.[26]
We shall discuss them in much greater detail in Chapter 25.

Based on his above assumptions,
Einstein further assumed that a local inertial observer could not __simultaneously__
physically measure the coordinates for the instant in time at the front end and
at the rear end of a distant linearly moving object on another frame of
reference. Without this simultaneous
measurement of time, Einstein also assumed that a local observer could not
accurately physically measure with coordinates the length of a distant linearly
moving object on another frame of reference.
Therefore, Einstein concluded that relative motion between reference
frames affects an observer’s hand and eye coordinate measurements of length and
time. (see Chapter 28) For this reason, Einstein also assumed that
length and time coordinate measurements between inertial reference frames could
only be defined in terms of a distorted ‘relative simultaneity’ and therefore
such kinematic concepts and measurements were dependent upon such relative
velocity. (see Chapter 26)

It turns out that all of the above dubious measurements and
rationalizations were only made to further Einstein’s relativistic agenda: to make his concepts of Relativistic
Kinematics, Length Contraction and Time Dilation mathematically consistent with
his impossible second postulate concerning the absolute velocity of a light ray
at *c*. (see Chapters 20F and
20G) We shall discuss the fallacies of
these absurd measurements, rationalizations and their related assumptions in
detail in Chapters 25, 26 and 28.

Right after Einstein abolished “the
idea of absolute rest” in his 1905 Special Theory, he conjectured a definition
for his *ad hoc*, radically changed and expanded Principle of Galileo’s
Relativity:

“…the same laws of electrodynamics and optics will be valid for all frames of reference for which the equations of mechanics hold good.”[27] (Einstein, 1905d [Dover, 1952, pp. 37 – 38])

He then
arbitrarily “raised this __conjecture__ to the status of a postulate,” which
he stated would “hereafter be called the ‘Principle of Relativity.’”[28] (*Id*., p. 38) It also became known as the ‘first
fundamental postulate’ of Einstein’s Special Theory.

What does the above conjecture by Einstein
really mean? Is it simply an *ad hoc*
generalization of Galileo’s Relativity to include EM (light) and optics? Is it just a generalization of Lange’s
relatively moving inertial reference frames and the Galilean transformation
equations that described them? Is it
merely a restatement of Poincaré’s 1904 Principle of Relativity? (Chapter 16)
The answer to all of these questions is:
No.

Simply stated, Einstein’s first postulate (his so-called ‘relativity
principle’) really asserts: that the
laws of electrodynamics, optics (including the velocity of light), and
mechanics will be valid within his Special Theory __only__ with respect to
the abstract mathematical concepts of inertial reference frames, artificial
coordinate measurements, and the __Lorentz transformation equations__. In effect, his first postulate is really just
a short summation of his Special Theory.
These conclusions only become evident later in Einstein’s Special Theory
when he asserts that: 1) the only
mathematical reference frames that he is talking about are those in “uniform
translatory motion”[29]
(Einstein, 1905d [Dover, 1952, p. 41]), and
2) that the laws of mechanics only ‘hold good’ in inertial reference
frames when such laws are measured by his artificial coordinate measurements
and are transformed by the Lorentz transformation equations. (*Id*.,
pp. 41, 43 – 48; Einstein, *Relativity*, pp. 34 – 39, 47 – 48) Also, “the equations of mechanics” which
Einstein was referring to in his first postulate had to be the Lorentz
transformation equations (rather than the Galilean transformation equations),
because otherwise his first postulate would not be valid within the meaning of
his Special Theory. [30]

In Chapter 14 of his book *Relativity*, Einstein specifically stated
what he meant mathematically by his Principle of Relativity:

“Once in
possession of the Lorentz transformation…we can combine this with the principle
of relativity, and sum up the theory thus:
Every __general law of nature__ must be so constituted that it is
transformed into a law of exactly the same [algebraic] form when, instead of
the space-time variables x, y, z, t of the original co-ordinate system K, we
introduce new space-time variables x', y', z', t' of a co-ordinate system
K'. In this connection the __relation__
between the ordinary and the accented magnitudes is given by the Lorentz
transformation. Or in brief: General laws of nature are __co-variant__
with respect to Lorentz transformations.”[31] (Einstein, *Relativity*, pp. 47 –
48) “This is a definite mathematical
condition that the __theory of relativity__ demands of a natural law.” (*Id*.,
p. 48)

In other words,
for Einstein, ‘co-variance’ meant that each law of nature (including the
velocity of light) must be constituted so that its space-time coordinate
variables of magnitude will be transformed by Lorentz transformations into a
law of exactly the same algebraic form for every inertial observer.’ This is how the velocity of light
mathematically became *c* for all inertial observers in Einstein’s Special
Theory.[32]

It must be emphasized at this early point that Einstein’s ‘principle of
relativity’ was not at all the same as the principle of Galileo’s
Relativity. Einstein’s principle of
relativity is strictly mathematical, not empirical. It is a greatly expanded *ad hoc*
concept that incorrectly includes all of optics, electromagnetics, and other
physical phenomena as well as mechanics, and it requires the *ad hoc*
Lorentz transformation equations (instead of the so-called Galilean
transformation equations) in order to make it mathematically appear to
work. For all of the above reasons, and
many more described in Chapters 23 and 24, Einstein’s first postulate, his
principle of relativity, is invalid and meaningless.

What was the empirical basis (if any) for Einstein’s conjecture concerning his radically expanded Principle of Relativity? How did Einstein rationalize his way to the above radically expanded mathematical conclusions? Does Einstein’s Principle of Relativity have any physical validity? We will discuss and answer these and related questions in Chapters 23 and 24.

F. Einstein’s second postulate: The impossible absolutely constant
propagation velocity of a light ray at *c* relative to any inertial
observer …anywhere…at any time.

Immediately after postulating his expanded ‘Principle of Relativity,’ Einstein introduced a ‘second fundamental postulate’ for his Special Theory, which he claimed was “only apparently irreconcilable with the former…,” to-wit:

“…that light is
always __propagated__ in empty space with a definite __velocity c__…”

“which is independent of the state of motion of the emitting body.”[33] (Einstein, 1905d [Dover, 1952, p. 38])

Although Einstein hardly mentions James Clerk Maxwell by name in his 1905
Special Theory, it is quite obvious from his 1905 paper (*Id*.),[34]
from his book *Relativity*,[35]
and from his other writings, that by ‘velocity *c*’ Einstein was intending
to refer: 1) to Maxwell’s equations
which described the constant velocity of light as *c* (300,000 km/s) with
respect to the stationary ether[36]
(see Chapter 6A), and also 2) to
velocity *c* relative to inertial bodies (such as a railway carriage) that
are moving linearly relative to a propagating light ray. (Chapter 21)

The first part of
Einstein’s second postulate has uniformly been interpreted to mean that: “all uniformly moving…observers obtain the
same __measured__ velocity of light, __independently of their own speeds__.” (Bohm, pp. 54, 60) In other words: “Light waves must travel with the same
invariant speed of 186,000 miles [per second] __through__ any Galilean
[inertial] frame when this speed is __measured__ by the observer located in
the frame.”[37] (D’Abro, 1950, p. 146)

What exactly do these
assertions concerning the velocity of light really mean? Simply stated: they mean that the velocity of a light ray __propagating__
over changing distance/time intervals toward or away from any inertially moving
body in the Cosmos is theoretically __measured__ by an observer on such
inertial body to be the same velocity of *c* (186,000 miles/s or 300,000
km/s), regardless of the magnitude of the __linear__ velocity of such
inertial body and such inertial observer either toward or away from the light
ray. (see Resnick, 1992, p. 469;
Goldberg, p. 105) However, this
so-called measurement of light at *c* would be an __impossibility__,
because the inertial observer would be moving linearly at v relative to the tip
of the light ray. Therefore, any
so-called measurement of such light velocity would be a relative velocity of *c*
+ v or *c* – v (more or less than *c*) depending upon the relative
direction of motion of the observer and the light ray. (see Chapter 21, Feynman, 1963, p. 15-2, and
Sobel, p. 200)

Thus, according to Einstein, every light ray has an __absolute__
velocity of *c* relative to every inertial observer and every inertial
body in the universe, regardless of their __linear__ motions relative to the
light ray. [38] For
example, as Resnick stated, where Observer A is situated at the emitting light
source, Observer B is moving away from A, and Observer C is moving toward A,
“Einstein’s second postulate…asserts that all three observers __measure__
the __same speed c__ for the light pulse!”[39] (see Figure 20.4; Resnick,
1992, p. 469; Goldberg, p. 105)

In effect, Einstein made no distinction between the
instantaneous emission velocity of a light ray at *c* and its constant
velocity of transmission at *c* relative to the medium of empty space (a
‘vacuum,’ as Einstein called it) through which it passes, on the one hand, and
the light ray’s varying velocities of propagation over varying distances and
time intervals __relative__ to different linearly moving bodies, on the
other hand. This “requires us to
express…the velocity of light with respect to two relatively moving bodies
[so]…that the value *c* results for
both.” (Dingle, 1961, p. 20) In other words, “Einstein’s special theory of
relativity…compels us to consider the velocity of light as an __absolute__.”[40] (D’Abro, 1950, p. 154) Einstein acquiesced to all these
interpretations, because during the 50 years from 1905 until his death in 1955
he never claimed that they were wrong nor proposed a different interpretation.

What could have prompted Einstein to postulate such a ridiculous concept? (see Chapter 21E) In Chapters 21 and 22, we will further analyze and explain the invalidity and fallacies of Einstein’s second fundamental postulate, which constituted a major false premise for his entire Special Theory.[41] In such chapters we shall also explain how and why light really transmits and propagates.

In the previous Sections E and F of
this chapter, we have discovered the following.
Einstein’s second postulate was really just an application and a
mathematical consequence of his first postulate: his radically expanded ‘principle of
relativity,’ which conceptually implies and includes the Lorentz
transformations. In order to make his
second postulate (the absolute velocity of light at *c*) work
mathematically relative to all inertial frames of reference, Einstein had to
apply the Lorentz transformations to the velocity of light propagating in such
moving frames of reference. The
symmetrical and ‘co-variant’ transformation result was that the velocity of
light is always measured by any inertial observer (using coordinates and
synchronized clocks) to have the same algebraic form *c* in any inertial
frame. Therefore, Maxwell’s velocity of
a light ray propagating relative to a linearly moving inertial observer, which
is logically and empirically __dependent__ upon the velocity v and direction
of motion of such inertial observer, artificially becomes __mathematically
independent__ of the different velocities of all linearly moving inertial
bodies in Einstein’s relativistic Special Theory.

However, Einstein could not just
apply the Lorentz transformations to just one phenomenon of nature in his
Special Theory, the velocity of light, because this would appear to be too *ad
hoc*. To remain mathematically consistent,
he would also have to apply the Lorentz transformations to __all__ of the
other physical phenomena of physics, such as length, mass, time, force,
electricity, energy, etc. But this
created another serious conceptual problem for Einstein, because all of these
phenomena of physics had always been considered to be completely independent of
their velocity and thus invariant in all inertial frames. If Einstein applied the Lorentz
transformations to these __velocity independent__ phenomena, then the laws
of physics would be different in every inertial frame.

The only way out of this theoretical conundrum was for Einstein to
conceptually change the laws of mechanics and all the other physical laws and
phenomena of physics so that they would be considered to be __dependent upon
relative velocity__.[42] Then, when the Lorentz transformations were
applied to them, such changed velocity dependent laws would be the identical
(algebraically co-variant) in every inertial frame. This would, of course, mean completely
changing all of mechanics and physics so that its phenomena could be considered
to be velocity dependent, algebraically co-variant, and consistent with
Einstein’s impossible second postulate for the absolute velocity of light at *c*. (see D’Abro, 1950, p. 162) In other words, the impossible tail would be
wagging the logical and empirical dog.
But so be it.

Most of the rest of Einstein’s Special Theory after he stated his second postulate was devoted to arbitrarily and conceptually changing all of the velocity independent phenomena of physics, one by one, by dubious rationalizations, analogies, and the Lorentz transformations, so that theoretically and mathematically they could be considered to be velocity dependent. This is why we must consider the theoretical velocity dependence of all of the non-light phenomena of physics to be tantamount to Einstein’s third fundamental postulate. Einstein’s relativistic concepts of ‘Simultaneity,’ ‘Common time’ and synchronous clocks (Chapter 25), his concepts of the ‘Relativity of Simultaneity’ and the ‘Relativity of Distance’ (Chapter 26), his ‘Relativistic Kinematics, Length Contraction and Time Dilation’[43] (Chapter 28), his ‘Relativistic Composition of Velocities’ (Chapter 29), his ‘Relativistic Dynamics and Relativistic Mass’[44] (Chapters 31 and 32), and of course his Lorentz transformation equations (Chapter 27) were all primarily devoted to achieving this spurious mathematical goal.[45]

By way of example, Einstein asserted
in his concept of the ‘Relativity of Distance’ that the length of a rigid meter
rod contracts (shrinks) in the direction of its velocity relative to another
inertial body of reference, which ‘Length Contraction’ was then mathematically
confirmed when the Lorentz transformations were applied to such rod in two
different inertial frames. Einstein’s
‘new law’ of the velocity dependent length of a rod was then algebraically the
same (‘co-variant’) in each inertial frame.
Likewise, all of the above-described relativistic concepts were little
more than Einstein’s radical conceptual __manipulations__ of classical
physics.

As we shall discover in Chapters 25
through 29 and in Chapters 31 to 33, when Einstein (the ‘mathematical
magician’) was in charge of the thought experiments, the *ad hoc*
equations, the arbitrary definitions, the artificial coordinate measurements,
the illogical interpretations, the bizarre analogies and rationalizations, and
the topological approximations, there was no limit to the phenomena and
theories that he could invent.
Mathematically, he could turn a long rigid rod into a short one, a small
mass into a large one, and a normal time into a slow time. Mathematically, he could even make a long rod
disappear, make a tiny mass become infinitely large, make time stand still, and
make any two velocities that were less than *c*, add up to *c*.[46]

**H. Einstein assumed that his two fundamental
postulates taken together would resolve the mathematical ‘difficulties’ that he
perceived.**

After describing his second fundamental postulate, Einstein assumed and concluded that his two postulates taken together would solve all of the ‘difficulties’ that he perceived, and which we described in Chapter 19. In Einstein’s words:

“These two postulates
suffice for the attainment of a simple and consistent theory of the __electrodynamics
of moving bodies__ based on Maxwell’s theory for stationary bodies.”[47]

“The theory to be
developed is based—like all electrodynamics—on the kinematics of the rigid
body, since the assertions of any such theory have to do with relationships
between rigid bodies (systems of co-ordinates), clocks, and electromagnetic
processes.[48] __Insufficient consideration__ of this
circumstance lies at the __root__ of the __difficulties__ which the
electrodynamics of moving bodies at present encounters.”[49] (Einstein, 1905d [Dover, 1952, p. 38])

The kinematics of a rigid body and the above-described material relationships were evidently what Einstein meant by the phrase: ‘the electrodynamics of moving bodies.’ However, by 1905, the term ‘electrodynamics of moving bodies’ and such relationships were normally reserved for electric charges in motion (electric currents), EM forces, and the relationships between them…not the relationship between propagating electromagnetic waves (light) and linearly moving bodies. Maxwell never used the term ‘electrodynamics’ in his theories or equations (see Chapter 6B), and he never applied the phenomena of light to frames of reference, stationary (ponderable) bodies, nor linearly moving bodies.

We will begin to demonstrate in the next four chapters
that actually it was Einstein’s insufficient consideration of the velocity of
light, and of the mathematical results (*c* – v and *c* + v) which
occurred when the Galilean transformations were misapplied to the constant
velocity of light at *c* in two inertial frames of reference, that lies at
the __root__ of Einstein’s mathematical ‘difficulties.’ When these circumstances are properly
analyzed, it turns out that (strange as it may seem) __there were no real
‘difficulties’ that needed any solutions__.
(see Chapters 21 through 24)
Thus, Einstein’s entire *ad hoc* and artificial Special Theory for
the ‘electrodynamics of moving bodies’ was totally __unnecessary__. It merely distorted Maxwell’s natural law
concerning the constant velocity of light at *c* *en vacuo* relative
to its medium of empty space, and in the process it distorted all of the rest
of physics as well.

[1] Such factors implied that terrestrial light experiments should be able to detect the velocity of the Earth through the stationary ether.

[2] Lorentz’s radical 1904 transformations also mathematically demonstrated that electromagnetic mass (a resistance) increases with its velocity. (see Chapter 17)

[3] There
was an additional mathematical advantage:
such absolute velocity of *c* with respect to all inertial observers
could become a __universal constant__ for measurements. However, all of these wonderful mathematical
results were __physically impossible__, as we shall explain in Chapters 20F,
21 and 22.

[4] Such interchangeable terms or parts are often referred to as ‘invariant’ or ‘equivalent.’

[5] For a detailed description of the asymmetries which Einstein was talking about, see Holton, 1973, p. 509. Briefly, they had to do with the description of a mysterious ‘electromotive force’ for which there was no corresponding energy rather than an electric force caused by relative motion.

[6] “It was
not the same when looked at from the reference frame of the magnet and from the
reference frame of the loop. Einstein
felt that this phenomenon should be exactly __symmetrical__ since only relative
motion is involved.” (Rohrlich, p.
58) This was an example of the
‘electrodynamics of moving bodies.’

[7] The
relative motion that Einstein was referring to was a uniform linear reciprocal
motion. Einstein most likely got the
idea for this example from August Föppl, who described a similar asymmetric
thought experiment in Chapter V (entitled ‘The Electrodynamics of Moving
Conductors’) of his well-known 1894 German textbook. Föppl concluded that the only thing that
matters is the __relative motion__ of the magnet and the conductor toward
each other, in which case the __ether__ appears to be __superfluous__. (see Neffe, pp. 136 – 137; Miller, pp. 142,
146) Einstein used much of Föppl’s exact
language on pages 37 and 38 of his 1905 treatise. (see Einstein, 1905d [

[8] There are also rotational symmetries of geometrical invariance. For example, when a square or cube is rotated through 90°, such rotation leaves the geometrical shape invariant. (Rohrlich, p. 21)

[9]
Einstein’s induction analogy also exemplified the symmetry of __reciprocity__
of relative motion.

[10] Partially based on this analogy, and somewhat similar to Poincaré’s principle of relativity, Einstein would thereafter attempt to generalize and extend the very limited sensory and empirical concept of Galileo’s Relativity so that it could mathematically apply to electrodynamics, the velocity of light, optics and all of physics. This dubious generalization would form a critical part of Einstein’s first fundamental postulate: his own very different and radical ‘principle of relativity.’ (see Chapters 20E and 24)

[11] The theoretical symmetry of space and time would also be necessary for Einstein’s concept of simultaneity (Chapter 25), for Einstein’s General Theory, and for many other mathematical theories in the future.

[12] One cannot always put the genie back in the bottle. On the other hand, elementary particles and fundamental laws on the quantum level are theoretically asserted to be “completely reversible in time.” (Feynman, 1963, p. 52-3)

[13] For
this reason, the __transmission__ velocity of light is also __received__
at *c* by every inertially moving body and observer, regardless of their
linear motions. (see Chapter 22E) Very importantly, the __receipt__ of light
at *c* by a moving body (meaning the velocity of light upon ‘contact’) and
the __propagation velocity of light relative to__ a moving body are very
different concepts.

[14] With respect to the above beliefs, we set forth the following caveat: Rationalizations of symmetries, topologies and equivalences may be useful to and satisfy mathematicians, but they do not necessarily make a mathematical law physically or empirically true.

[15] (see
Einstein, *Relativity*, p. 11) At
page 14 (*Id*.

[16] Einstein only used physical measurements, such as by rigid rods and stationary clocks, to make measurements of length (distance) and time intervals when there was no relative velocity involved.

[17] It should only be employed when there is absolutely no alternative, and then only as a rough approximation.

[18] In
1905, Einstein (like Föppl before him), avoided the issue of the validity of
ether with the following language: “the
introduction of a ‘luminiferous ether’ will prove to be __superfluous__ in
as much as the view here to be developed will not require an ‘absolutely
stationary space’…” (Einstein, 1905d
[Dover, 1952, p. 38]) Einstein did not
categorically denounce and abolish the concept of ether until much later. (see Einstein, *Relativity*, p. 59)

[19] The
‘equations of mechanics’ which hold good in ‘all frames of reference’ for __classical
mechanics__ are the ‘Galilean transformation equations,’ the so-called
mathematical version of Galileo’s Relativity.

[20] Einstein may have been questioning the existence of ether in 1905, but he avoided any controversy by stating that ether would be superfluous to his Special Theory. Nevertheless, his Special Theory was largely based on experiments and concepts that relied upon the theory of ether, such as the M & M experiments, which attempted to measure the velocity of the Earth relative to the stationary ether, Lorentz’s concepts of contraction and local time, which attempted to defend the concept of ether, and Poincaré’s generalized principle of relativity, which attempted to explain the null results of ether experiments.

[21]
Einstein acknowledged in his book *Relativity* (at pp. 49 – 50) that these
difficulties of proof exist. He also
assured us that such relativistic effects have been confirmed to exist at high
velocities, but that at low velocities such effects “are too small to make
themselves evident…” (*Id*.

[22] For all of these reasons, in Special Relativity there is nothing certain about relative motion, nor about relative directions of motion.

[23] We will discover in later chapters that all of the above artificial paradoxes are only the result of Einstein’s dubious coordinate theories of measurements, and of the application of his Lorentz transformations and their interpretations. (see Chapters 26 and 28)

[24] Nevertheless, Einstein later adopted Lorentz’s absolute and artificial concept of ‘local time’ for his concept of ‘time’ in Special Relativity. (see Chapter 25)

[25] A very
simple algebraic revision could have been, t ± vt = t' – *c*t and t' + *c*t
= t ± vt, where t = the instant of the local observation, *c*t = the
distance/time interval delay of the light signal at *c* from emission of
the distant light event until the local observation thereof, vt = the relative
linear distance traveled by the observer during such delay, and t' = the
instant of the distant light event (emission of light). But apparently this simple algebraic revision
would not have satisfied Einstein’s theoretical agenda.

[26] Neffe
states that: “this seemingly simple
[problem and its necessary correction] had been standard knowledge in physics
for a long time prior to Einstein.” (see
Neffe, pp. 128 – 129) But apparently
mathematicians had neglected to incorporate such knowledge into the Galilean
transformation equation for time (t = t').
Miller went even further and stated that such known differences in the
time of distant events were __intentionally ignored__ by Poincaré and other
mathematicians so that the definition of physical time in physics could “be
expressed in a convenient and simple form,” i.e. the equation t' = t contained
in the Galilean transformations.
(Miller, p. 176; see Chapter 25)

[27] Notice
that Einstein claims such validity for ‘frames of reference’ rather than human
observers. Also, contrary to Einstein’s
assertions, __Galileo’s Relativity, inertial motions, coordinates, reference
frames and their transformation equations__ are strictly __material__
concepts. They are not applicable to the
velocity of light and other forms of electromagnetic radiation. (see Chapter 23)

[28]
“Einstein claimed from the start that his Special Theory was really a
‘relativity __principle__,’ but the scientific community was not ready to
grant it that lofty status, so by 1911 Einstein finally capitulated” and
referred to it as a __theory__.
(Folsing, pp. 208 – 209)

[29] All
other reference frames, i.e. those exhibiting accelerated, rotary, or arbitrary
motions, are specifically excluded from his Special Theory. This means that Special Relativity is, by
definition, a very __narrow and limited__ mathematical theory.

[30] Numerous physicists agree with the author’s interpretation in this regard. Therefore, we must ask the question: If the Lorentz transformations were already embedded in Einstein’s principle of relativity, why did Einstein insist that he ‘derived’ such Lorentz transformations by combining his two fundamental postulates? Such a derivation would be artificial, meaningless and redundant. For the answers to this question, see Chapter 27.

[31]
Einstein’s above-generalized conjectures (in 1916) go well beyond anything else
that he specifically asserted in his 1905 Special Theory. They require the mathematical result of
algebraic co-variance, not only for all physical laws, but for all __general
laws of nature__ as well. This
generalized requirement would necessarily include not only electromagnetism,
light, optics and mechanics, but also astronomy, cosmology, chemistry,
thermodynamics, quantum mechanics, etc.

[32] It is also the mathematical reason for all of Einstein’s relativistic consequences, including the ‘contraction of matter’ and the ‘dilation of time.’ Don’t worry, any confusion the reader may now have should be cleared up by reading and understanding Chapters 21 through 29. Physicists and mathematicians have been confused by Special Relativity for over a century.

[33] One
empirical basis for this statement of independence was Bradley’s 1728
aberration of light experiment where the velocity of light emitted by different
stars moving at different linear velocities appeared to always be received by
the Earth at the same velocity. (see
Chapter 22E for why this paradox of received light occurs) Another empirical basis was the observations
of double (or binary) stars by astronomer Willem de Sitter, and his conclusion
of such independence. The reason for de
Sitter’s conclusion was that no ghost images of stars were observed by him in
such binary star systems. *A priori*,
if they had been observed then this would mean that the velocity of starlight
was dependent upon the velocities of the binary stars that emitted such
light. (see Dingle, 1972, pp. 205 – 207;
and Figure 7.2) Feynman points out that
de Sitter’s conclusion “is analogous to the case of sound, the speed of sound
waves being likewise independent of the motion of the source.” (Feynman, 1963, p. 15-2)

[34] For
example, see Einstein, 1905d [

[35] For
example, see Einstein, *Relativity*, pp. 22 – 23, 35.

[36] In his
June 1905 Special Relativity paper, Einstein only refers to Maxwell’s theory of
electrodynamics for stationary bodies.
(Einstein, 1905d [Dover, 1952, p. 38])
However, this must be a mis-reference by Einstein to Maxwell’s light
medium of stationary ether, because: 1)
in the next sentence Einstein mentions that the ‘luminiferous (light carrying)
ether’ will not be necessary for his Special Theory; 2) on the previous page he refers to the
ether as the ‘light medium’ (*Id*., p. 37); and 3) Maxwell never had a theory for the
velocity of light with respect to __ponderable__ stationary bodies. In Einstein’s related treatise of September
1905, he more correctly acknowledged:
“the principle of the constancy of the velocity of light is of course
contained in Maxwell’s equations.”
(Einstein, 1905e [Dover, 1952, p. 69, footnote])

[37] This
theoretically __measured__ velocity is, of course, a myth, because there is
no currently possible way for an inertial observer to measure the one-way
velocity of light either in the abstract or relative to the linear velocity of
such inertial observer through the Cosmos.
(see Chapters 6, 9 and 10)

[38] “…The ‘principle of relativity’ implies (although it does not explicitly state) that the velocity of light is constant…for any observer.” (Folsing, p. 180)

[39]
Actually, Resnick’s above examples could only empirically happen if all three
of such observers (A, B and C) were __at rest__ relative to the point of
emission and the tip of such light ray (see Chapter 22), which clearly they are
not.

[40]
Rohrlich referred to these __forced__ mathematical conclusions as
‘Einstein’s Fiat.’ (see Rohrlich, pp. 55
– 62) The word ‘fiat’ means: arbitrary order or authoritative decree.

[41] There
is no problem with the second part of Einstein’s second postulate. The velocity of a light ray __is__
independent of the motion or velocity of its emitting body, as we will further
explain in Chapter 22.

[42] There never was a logical or empirical reason to consider such phenomena as dependent upon relative velocity.

[43] It turns out that all of these absurd kinematic concepts were only a result of the arbitrary and invalid method that Einstein used to measure their magnitudes. (see Chapter 28)

[44] Einstein’s attempted justification for the variation of mass was Kaufmann’s and Abraham’s discovery that electromagnetic mass (a resistance, not a mass of atoms) increases with velocity. (see Chapters 17 and 32A)

[45] In such chapters we will demonstrate why each artificial relativistic concept is invalid and totally meaningless.

[46] Special Relativity and the Lorentz transformations have caused much more mischief and confusion in physics than they could ever solve. Do not be concerned if you do not fully understand every statement or conclusion contained in this chapter. Again, they will be fully and clearly explained in the chapters to follow. However, the sooner the reader fully understands the false premises, misassumptions and impossible goals for Einstein’s Special Theory, the more meaningful the remaining chapters will be.

[47] On the
contrary, as we shall discover in the next Chapter 21, Maxwell never had a
“theory for stationary [material or ponderable] bodies.” Maxwell’s electromagnetic wave theory was
only about the hypothetically __stationary material__ ether, which does not
exist.

[48]
Electrodynamics (vis. electric currents, their related forces and other
electromagnetic effects) may have to do with kinematics and such material
relationships, but Einstein neglected to point out that electromagnetic waves
(radiation) and the velocity of light at *c* __do not__. And his Special Theory was primarily about
light and its velocity.

[49] In this paragraph, Einstein was implying that electrodynamics (electric currents, their related forces and other electromagnetic effects) and electromagnetic waves (light and EM radiation), on the other hand, were all the same concept, which of course they are not. (see Chapters 6A and 6B)