/ 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
|