15.
The Contraction Hypothesis
Michelson and Morley concluded from their experiment that
the ether is carried along completely by the moving earth,
as is main-tained in the elastic theory of Stokes and in the
electromagnetic theory of Hertz. But this conclusion
contradicts the numerous experiments which prove partial
convection. Michelson then investigated whether it was
possible to establish a difference in the velocity of light
at different heights above the earth's surface, but without
a positive result. He concluded from this that the motion of
the ether that is carried along by the earth must extend to
very great heights above the eart's surface. Thus, then, the
ether would be
/
Page 219 /
influenced
by a moving body at considerable distances. But this is in
fact not the case, for Oliver Lodge showed
(1892)
that the velocity of light in the neighborhood of rapidly
moving bodies is not influen-ced in the slightest, not even
when the light passes through a b electric or magnetic
field, carried along by the body. But all these efforts seem
superfluous, for even if they led to an unobjection-able
explanation of Michelson's experiment, the rest of
electrodyna-mics and optics of moving bodies which speaks in
favour of partial convection would remain
unexplained.
We see now Lorentz's
theory of electrons placed in a very difficult position by
Michelson and Morley's experiment. The doctrine of the
stationary ether seems to demand that an ether wind exist on
the earth, and hence stands in contradiction to the results
of Michelson and Morley's experiment. The fact that it did
not at once succumb to this challenge proves the inherant
strength of the theory, a strength deriving from the
consistency and completeness of its physical picture of the
world. Finally, it overcame even this difficulty to a
certain extent, although by a a very strange hypothesis,
which was proposed by Fitzgerald
(1892)
and at once taken up and elaborated by Lorentz.
Let us recall the reflections on
which Michelson and Morley's experiment were based. We found
that the time taken by a light ray to travel to and fro
along a distance l differs according to whether
the ray travels parallel or perpendicular to the earth's
motion. In the former
case
t1
= 2l
1 ,
c
1-
2
in the second,
t2
= 2l
1 .
c /
1-
2
If we now assume that the arm of the interferometer
which is directed parallel to the direction of the earth's
motion is shortened in the ratio
/ 1-
2
:
1, the time t1
would
become reduced in the same ratio,
namely, t1
= 21
/
1- 2 =
21
1
. c(1-
2 c /
1-
2
Thus
we should have t1
=t2.
/
Page 220 /
This
suggests the following general hypothesis, the crudeness and
boldness of which is startling indeed:
Everybody which has the velocity v with respect to the
ether contracts in the direction of motion by the
fraction
.
. .
. / 1-
2
= /
1
- v2
.
/ c2
Michelson and Morley's
experiment must actually, then, give a negative result,
since for both positions of the
interferometer t1
= t2.
Furthermore - and this is the important point
-
such
a contraction could not be ascertained by any means on
earth, for every earthly measuring rod would be contracted
in just the same way. An observer who was at rest in the
ether outside the earth would, it is true, observe the
contraction. The whole earth would be flattened in the
direction of motion and likewise all things on it.
The contraction hypothesis
seems so remarkable -
indeed,
almost absurd -
because
the contraction is not a consequence of any forces but
appears only as a companion circumstance to motion. Lorentz,
however, did not allow this objection to keep him from
absorbing this hypothesis into his theory, particularly as
new experiments con-firmed that no second-order
effect of the earth's motion through the ether could be
detected.
We cannot
describe
all these experiments
or even outline them. They are partly optical and concern
the events involved in re-flection
and refraction,
double refraction,
rotation of the plane of
polarization,
and so forth; and they are partly electromagnetic and
concern induction phenomena, the distribution of the current
in wires and the like. The improved technique of physics
allows us nowadays to establsh unambiguously the existence
or
absence of second-order effects in these phenomena. A
particularly note-worthy experiment is that of Trouton and
Noble (1903),
which was intended to detect a torsional force which should
occur in a suspended plate condenser in consequence of the
ether wind.
These experiments produced
without exception a negative result. There could no longer
be any doubt that a motion of translation through the ether
cannot be detected by an observer sharing in the motion.
Thus the principle of relativity which holds for mechanics
is also valid for all electromagnetic
phenomena.
/
Page 221 /
Lorentz
next proceeded to bring this fact into harmony with his
ether theory. To do this there seemed no other way than to
assume the contraction hypothesis and to fuse it into the
laws of the electron theory so as to form a consistent whole
free from inner contradictions. He first observed that a
system of electric charges which keep in equilibrium only
through the action of their electrostatic forces con-tracts
of itself as soon as it is set into motion; or, more
accurately the electromagnetic forces that arise when the
system is moving uni-formly change the configuration of
equilibrium in such a way that every length is contracted in
the direction of its motion by the
factor
. .
/ 1-
2.
Now, this mathematical theorem
leads, if we assume that all physical forces are ultimately
electrical in origin or that they at least follow the same
laws of equilibrium in uniformly moving systems, to an
explanation of Fitzgerald's contraction. The difficulty of
regarding all forces as electrical is due to the
circumstance that they lead, in accordance with old and well
known theorems deriving from Gauss and Green, to charges
being in equilibrium but never in stable equilibrium. The
forces which bind the atoms to form molecules and the latter
together to form solid bodies cannot, therefore, simply be
electrical. The necessity for assuming nonelectric forces
emerges most clearly if we inquire into the dynamical
constitution of an individual electron. This is supposed to
be an accumulation of negative charge which we must assume
to be of a finite amount, for, as we have seen (p.211), the
energy of a spherically shaped charge or radius a is equal
to 1 e2 , and it becomes
infinitely
great
a
if a is set equal to zero. But the component parts of
the electron strive to separate, since similar charges
repel. Consequently,
there must be a new force which keeps them together. In
Abraham's theory of the electron it is assumed that an
electron is a rigid sphere, that is, that the nonelectric
forces are to be so great that they admit of no defor-mation
whatsoever. But it is, of course, possible to make other
assumptions.
Now, it suggested itself to
Lorentz that the electron also experiences the
contraction . . / 1-
2.
We have already stated (p. 213) that a much simpler
formula results for the mass of the electron than that
arising from Abraham's hypothesis. But, in addition
to
/
Page222 /
electromagnetic
energy, Lorentz's electrons have also an energy of
deformation of foreign origin, which is wanting in the rigid
electron of Abraham.
Lorentz next investigated the
question whether the contraction hypothesis is sufficient
for deriving the principle of relativity. After laborious
calculations he established that this was not the case, but
he also found (1899)
what
assumption had to be added in order that all electromagnetic
phenomena in moving systems occur just as in the resting
ether. His result is at least as remarkable as the
contrac-tion hypothesis. It is: A new time measure must be
used in a system which is moving uniformly. He called this
time, which differs from system to system, "local
time" The contraction hypothesis may clearly be
expressed thus: The measure of length in moving systems is
different from that in the ether. Both hypothesis together
state that space and time must be measured
differently in moving systems and in the resting ether.
Lorentz enunciated the laws according to which the measured
quantities in various systema may be transformed into one
another, and he proved that these transformations leave the
field equations of the electron theory unchanged. This is
the mathe-matical content of his discovery. Larmor
(1900)
and Poincare (1905) arrived at similar results about the
same time.*
We
shall examine these transformation formulae presently from
Einstein's point of view, and so we shall not enter into
them here. But we shall consider what consequence the new
turn in Lorentz's theory had for the idea of the
ether.
In the new theory of Lorentz
the principle of relativity holds in conformity with the
results of experiment, for all electrodynamic events. Thus,
an observer percieves the same phenomena in his system no
matter whether it is at rest in the ether or moving
uniformly and rectilinearly. He has no means at all of
distinguishing the one from the other. For even the motion
of other bodies in the world, which are moving independently
of him, always informs him only of relative motion with
respect to them and never of absolute motion with respect to
the ether. Thus he can assert that he himself is
at
*
It
is interesting historically that the formula of
transformation to a moving system, which we nowadays call
Lorentz's transformation (see V1, 2, P.236 formula
(70a)),
was set up by Voigt as early as
1877
in an investigation which was still founded on the elastic
theory of light.
/
Page 223 /
rest
in the ether, and no one can contradict him. It is true that
a second observer on another body moving relative to the
first can assert the same with equal right. There is no
empirical and no theoretical means of deciding whether one
or the other of them is
right. Consequently, we
arrive at the same position with respect to the ether as the
principle of relativity of classical mechanics did with
respect to the absolute space of Newton (III,6, p.69). In
the latter case it had to be admitted that it is meaningless
to regard a definite place in absolute space as something
real in the sense of physics. For there is no physical means
of fixing a place in absolute space or of finding it a
second time. In precisely the same way we must now admit
that a definite position in the ether is nothing real in the
physical sense, and for this reason the ether itself loses
the character of a substance. Indeed, we may say: If each of
two observers who are moving relative to each other can
assert with equal right that he is at rest in the ether,
there can be no ether.
Thus, the extreme development
of the ether theory leads to its dissolution as a
fundamental concept. But it has required a great effort to
admit the failure of the ether idea. Even Lorentz, whose
ingenious suggestions and laborious efforts led the ether
theory to this crisis, hesitated for a long time before
taking this step. The reason is this: The ether was
conceived for the express purpose of being a carrier of
light vibrations, or, more generally, of the
electro-magnetic forces in empty
spaces.
Vibrations without something which vibrates seemed to be
unthinkable. On the other hand, the assertion that in empty
space there are observable vibrations goes beyond all
possible experience. Light or electromagnetic forces are
never observable except in connection with bodies. Empty
space free of all matter is no object at all. All that we
can ascertain is that an action starts from one material
body and arrives at another material body some time later.
What occurs in the inter-val is purely hypothetical, or,
more precisely, a matter of suitable assumption. Theorists
may use their own judgment to attribute properties to the
vacuum, with the one restriction that these serve to
correlate changes of material things.
This view is a step in the
direction of higher abstraction, releasing us from ideas
that previously were considered to be
necessary
/
Page 224 /
components
of our thinking. At the same time, it is an approach to the
ideal of allowing only that which is directly given by
experience to be valid as a constructive part of the
physical world, all superfluous pictures and analogies
originating from more primitive and unrefined experience
being eliminated.
From now on ether as
a substance vanishes from theory. In its place we have the
electromagnetic field as a mathematical device for
conveniently describing processes in matter and their
relationships.*
There remains the task of building up a description of
the physical world afresh on these more abstract but
empirically sound founda-tions. As mentioned already,
Lorentz and Poincare have succeeded in doing this by careful
analysis of the properties of Maxwell's equations. They were
indeed in possession of a great deal of mathematical theory.
Lorentz, however, was so attached to his assumption of an
ether absolutely at rest that he did not aknowledge the
physical significance of the equivalence of the infinite
numbers of systems of reference which he had proved. He
continued to believe that one of them represented the ether
at rest. Poincare went a step further. It was
quite clear to him that Lorentz's viewpoint was not tenable
and that the mathematical equivalence of systems of
reference meant the validity of the principle of relativity.
He also was quite clear about the consequence of his theory.
What he missed was a simple physical - or should we say
philosophical -point, which would make the theory of
relativity independent of its derivation from Maxwell's
equations, even though by rather tedious
calculations. This
important step was to come from Einstein. He noticed that to
overcome the difficulties met in relativistic considerations
one had to go back to the fundamental concepts of space and
time. He found that in the current concepts there was an
assumption not based on facts and succeeded in rebuilding
the theory by eliminating this preconceived notion.
*
Einstein
in later years proposed calling empty
space equipped with gravi-tational and
electromagnetic the "ether," whereby, however this word is
not to denote a substance with its traditional attributes.
Thus, in the "ether,"there are to be no determinable points,
and it is meaningless to speak of motion relative to the
"ether." Such use of the word "ether" is of course
admissible, and when once it has been sanctioned by usage in
this way, probably quite convenient. /
Page
225 2 + 2 + 5 =
9
/
Chapter
VI
EINSTEIN'S
SPECIAL PRINCIPLE OF RELATIVITY
1.
The Concept
of
Simultaneity
The
difficulties which had to be overcome by applying the
prin-ciple of relativity to electrodynamical events
consisted of bringing into harmony the following two
apparently inconsistent statements:
1. According
to classical mechanics the velocity of any motion has
different values for two observers moving relative to each
other.
2. Experiment informs us that the velocity of light is
independent of the state of motion of the observer and has
always the same value c.
The older ether theory
endeavoured to get rid of the contradiction between these
two laws by dividing the velocity of light into two
components: (a) the velocity of the luminiferous ether, and
(b) the velocity of light with respect to the ether. Of
these two (a) can be appropriately described with the help
of convection coefficients. This theory, however, was
successful in
eliminating the contradiction only with regard to
quantities of the first order. To maintain the law of
constancy of the propagation of light, Lorentz's theory had
to introduce a special measure of length and time for
everymoving system. The compatibility of the statements (1)
and (2) then appears as produced by a "physical
illusion."
In
1905 Einstein
recognized that Lorentz contractions and local times were
not mathematical devices and physical illusions but involved
the very concepts of space and time.
Of
the two statements (1)
and (2) the first is purely theoretical and conceptual in
character whereas the second is founded on fact.
Now,
since the second statement, that of the constancy of the
velocity of light, must be regarded as being experimentally
established
/
Page 226 /
with
certainty, nothing remains but to give up the first law and
hence the ideas about space and time as hitherto accepted.
Thus there must be an error in these ideas, or at least a
fallacy, due to a con-fusion of habits of thought with
logical consistency, a tendency we all realize to be an
obstacle to progress.
At this particular time Einz, said Zed Aliz Zed, az
always thinking numbers, and, awkward as it may seem,we must
if only for a short time,forego continuance of this moment
of the benediction, bidding kind farewell to wah brother
Born, a parting of such sweet sorrow. After which, said
Alizzed we must make a not so abrupt detour, over the hills
and far away. That way, we maintain an arrow straight, crows
line flight of the humble bumble thee, in pursuit of our
holy quest of the THAT.
ELECTRICITY
Victoria Glendinning
1995
Edition
Page
24
"...
' Think of the language of the liturgy,' he told me.
God is almighty, all-powerful, invisible. God is power,
is creation and destruction, is energy, is the divine spark,
is the Light. of the World. To be without God is to be
in outer darkness. Lighten our darkness we beseech Thee, O
Lord
God is electricity . Electricity is God.'
'But that is a metaphor,' I said. 'You might as well
say, God is water. Perhaps all religions and all sciences
and systems are metaphors for something that we cannot know.
So we choose the one that makes sense to us.'
You are right. Plato said that
God was a geometer. Isaac Newton imagined a clockwork
universe. The metaphors are ways of getting nearer truths
that we can know if we apply our brains. If human brains can
encompass geometry, mathematics, and so on, then God if he
is anything is a geometer and a mathematician and everything
else besides. At the very least. Because he made their
brains too. But our insulation in self makes us imagine an
identity for Him. What if he isn't a he but the thing
itself? The unseen force. Not a musician, but music. Not the
all-powerful, but the power."
Then the Zed Aliz Zed, the silence is golden, humble
savant of the THAT, spawned, then spanned the circle of
truth, that iz in truth a circle, a front to
back,back to front circle of living energy.Turning it inside
out with such dexterity, az would, in magnificent repea,
have had to be seen to be believed.Then at the very, moment
of stop, using the majestic trick of the Magi's stick,
Alizzed occasioned numerical metamorphosis
to'ards the first two letters of the words
refraction
and re-flection.
These when transposed into the magikalalphabet became
numerically charged, azin for example
the god - RE,
azin RE-
religion.
Relativity
even writ the scribe, agog, and magog, at the not so sudden
turn of prevents.
R
E
18 5
18 x 5
90
Then with no further explanation
forthcoming the far yonder scribe, thinking it
right to do so, left it at that.
Rather, would have left it at that, had not the
following, az out thin air arrived. The scribe, having
thanked the happy return of another good brother, writ, you
can't keep a good man down, and without further ado,
asserted the insertions of the good and learned, returned
brothers. Az per AlizZed said
Einstein's
Theory Of Relativity
Max
Born
Page
220
"We
cannot describe all these experiments or even outline them.
They are partly optical and concern the events involved in
re-flection
and refraction,
double refraction,
rotation of the plane of
polarization,
and so forth;"
The
Death Of Forever
Darryl Reanney
1991
Edition
Page
101
11th
L / D
" A more significant insight can be gained by monitoring
brain
activity through a device called an electroencephalogram
(EEC). Eec data show fundamental differences in patterns of
brain activity between sleeping and waking, i.e. between
night and day. At night, when we sleep, the EECrecords a
regular rhythmic sequence of brain waves of relatively low
frequency. These are called delta waves. Delta waves occur
much of the time in infants, who spend long periods asleep.
During deep sleep, the brain generates a higher frequency
pattern which is associated with a rapid twitching of the
eyes (hence the term REM
sleep or rapid eye improvement sleep). Significantly,
ultrasound imaging techniques show that such REM activity
occurs constantly in unborn babies. Is this
because the foetal brain is initially attuned only to its
primal darkness, its original dreaming state, and only
slowly learns to adjust to the activating effects of
sunlight?
When we are fully
awake, brain waves take a different and more complex form.
Simplistically, when we are awake but relaxed the EECrecords
a slow, regular pattern called an alpha wave. When we become
excited or alert, the pattern changes
again into a more complicated sequence of small, rapidly
fluctuating waves called a beta wave pattern.
The brain, then,
reveals through its electrical activity, several quite
different states which are bly correlated with night and
day. The basis of our consciousness is cyclic and
repetative. After ten years of life, a child has experienced
about 3650
day/night cycles. Its psychology has been totally and
irreverseibly structured in terms of this periodicity; it
accepts unconsciously, instinctively, that light follows
dark."
At just this point Alizzed had yon scribe a calculation
render, well you know TheZed Aliz Zed.
3 x 6 x 5 = 90
"This periodic and reiterative
structure of consciousness is en-coded in our very speech.
The latin prefix 're'
usually has the sense
/
Page 102 /
of
'again'. Can it be coincidence that the words we use to
describe our fundamental myths and activities are not things
we do but things we do again?
reproduction redemption
representation reincarnation
recognition
rebirth
resurrection
Even the word re-ligion
may fit this pattern: one of its possible meanings is 'bind
(join) again'. In the Christian tradition, we are told that
Christ 'rose again from the dead', despite the fact that the
resurrection of his body was supposedly an unique, once-off
affair. Taken together, these facts tell us something quite
fundamen-tal - that there is a natural and inevitable
association between the concept of an afterlife and the
enduring legacy of cyclic time. Far from being an innovation
or an invention, the religious idea of rebirth, of life
(light) after death (dark), is an expression of one of the
oldest aspects of life on earth."
"... circadian rhythmns (from Latin circa meaning about,
die meaning day)..."
Page 105
"The
intimate relationship
between the basic day/night
brain
cycle and the saga of death and
rebirth
in ancient Egypt is powerfully shown in the union of
Osiris,
Lord of the Dead, with Re,
the sun God. One can see the link clearly in the
reconstructed
burial
ritual
of Tutankhamun. After the young King's body had been
mummified and encased in its golden shell,
ceremony
focused on resurrection
- the rebirth
of the dead
God. Rather
than recount this ceremony, which was exceedingly complex,
Iwill quote passages from the elegant description by
Egyptologist Christine Desroches- Noblecourt which clearly
show how deeply the day/night cycle shaped the Egyptian
concept of rebirth after death. Thus:
At the end of his arduous
search for survival, the dead Osiris
would appear
in
the aspect of the rising
sun,
Re
the
graves
of the masters of Thebes repeated
the dramatic
story
of
the sun's gestation and its
rebirth
at the fifth
hour
emulating
the sun, the king was to draw
from the world of
the dead
renewed
strength
for
his morning rebirth
there
remained the last act of the
drama
rebirth.
The
room the
excavators called the annexe
was entirely
dedicated to this, and its door,
which
faces East,
suggests that it was
deliberately
oriented in this direction to
favour the pharaoh's rising
after his transformation Osiris
the King was to spring from the
horizon as
Re,
star of day
What could be clearer?
Experts on religion may object
that the Pharaohs were 'God-Kings' hence the mode of their
burial is not representative of the common faith
of ancient Egypt. This may be true as regards the grandeur
of the burial ceremonies, but the indestructable link
between Egyptian belief in an afterlife and the image of the
sun goes back to the roots of Egyptian life. Listen to this
hymn to the sun God Re by an unknown Egyptian simply
code-named N:
O all you gods of the soul-mansion who judge sky and earth
in
the
balance, who give food and provisions: O Tatenen,
Unique
One, creator of mankind; O Southern, Northern, Western and
Eastern
Enneads, give praise to Re, Lord of the Sky, the
Sover- /
Page 106 / eign who made the
Gods. Worship him in his goodly shape when
he
appears in the Day-Bark
Another
time out said Zed Aliz to nobody in particular.nobody in
particular listened intently az the Alizzed did
chant,
an I can an incantaion make, followed by
the throwing of a casting of numbers
The scribe noting the here, and how we fell positions, acted
accordingly. THE
BOOK OF THE DEAD
E.A.Wallis Budge
1899
Chap.cxxxi.5] OF
LIVING NIGH UNTO RA
Page 397
"Chapter
CXXXI
[From the Papyrus of Nu (Brit. Mus. No. 10,477
sheets 17 and 18).]
Vignette: This Chapter is without vignette, both in the
Papyrus of Nu and in the Saite Recension (see Lepsius, op
cit., BL.54)
Text: (1) THE CHAPTER OF HAVING EXISTENCE
NIGH UNTO RA.1
The overseer of the house of the
overseer of the seal, Nu, triumphant, saith: -
"I am that god Ra
who shineth in the night. Every
"(2)
being who followeth in his train shall have life in
" the following of the god Thoth, and he shall give
"unto him the risings of Horus in the darkness. The
"heart of Osiris Nu, the overseer of the house of
the
"overseer of the seal, triumphant, is glad (3)
because
" he is one of those beings, and his enemies have
been
"destroyed
by the divine princes. Iam a follower of
"Ra,
and [I have] received his iron weapon. (4)
I
"have
come unto thee, O my father
Ra,
and I have
"advanced
to the god Shuu I have cried unto the
"mighty
goddess, I have equipped the god Hu,(5) and
"I alone have removed the Nebt god from the path of
"Ra.
I, am a Khu and I have come to the divine
/ "prince at the bounds of the horizon I have
met
Page 398 / "(6) and I have
received the mighty goddess. I have
"raised up thy soul in the following of thy
strength,
"and
my soul [liveth] through thy victory and
thy
"mighty
power; it is I who give commands (7) in
"speech
to Ra
in heaven. Homage to thee, O great
"god
in the east of heaven, let me embark in thy boat,
"O Ra,
let me open myself out in the form of a divine
"hawk,
(8) let me give my commands in words, let me
"do
battle in my Sekhem (?), let me be master under
"my
vine. Let me embark in thy boat, O
Ra,
in
"peace,
(9) and let me sail in peace to the beautiful
"Amentet.
Let the god Tem speak unto me, [saying],
"Wouldst
[thou] enter therein?' The lady, the
"goddess
Mehen, is a million of years, yea, two
million
"years
in (10) duration, and dwelleth in the house of
"Urt
and Nif-urt [and in] the Lake of a million
years;
"the
whole company of the gods move about among
"those
who are at the side of him who is the lord of
"divisions
of places (?). And I say, 'On every road
"and
among (11) these millions of years is
Ra
the lord,
"and
his path is in the fire; and they go round about
"behind
him, and they go round about behind him.' "
Pages 397 /398 .
"Text:
(1) THE CHAPTER OF HAVING EXISTENCE NIGH UNTO
RA.1"
RA occurs x 1
Ra
occurs x 8
R -
18TH Letter of the
Alphabet A - 1ST Az
and when ,add to reduce, reduce to deduce,
1 + 8
9
+ A
10
x 9
90
9
+ 0
9
R - A
18
+ 1 = 19
1 + 9 = 10 x 9 = 90
9
plus an absence = NINE
18
x 9 = 162 1
+ 6 + 2 = 9
A x 9 = 9
R + A x 9 =
171
1 + 7 + 1 = 9
R = Eighteenth letter of
Alphabet 18
-
26
= 8 x the 9 in 18 = 72
7 + 2 = 9
But, but, but, didnt stammer the scribe, writing
stammeringly. No ifs or buts said Zed Aliz, thou
art not a dolly sisyphean, thou art a patent pattern finder
and yours is not to reason why, yours is but to see and
try.
So the scribe did
Eighteen contains 8 letters x 9 =
72
|