ENTRAINED
SPATIAL MEDIUM GRAVITATIONAL SINK MODEL
FURTHER SPECULATIONS SECTION
By Henry C. Warren Jr.
E-Mail hcwarren@olypen.com
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FURTHER SPECULATIVE
CONSIDERATIONS
This document deals with
some ideas which are more speculative and exploratory than those
presented in the main model and is a work in progress. To facilitate
exploration of novel ideas, it is also a less formal presentation, being
written in the first person and conversational in tone. Over time ideas
have come and gone from this document, several being added to the
proposed Entrained Spatial Medium Gravitational Sink Model as they
became better documented and others discarded as not having stood the
test of time.
The Casimir Effect
Once I realized that the Michelson – Morley apparatus was inherently
incapable of detecting ether drift, I realized that the dismissal of a
spatial medium could well be in error. From there I started by trying to
explain gravity using a model based solely on the Casimir Effect and
shadowing. It may be worth taking a detour and to discuss the Casimir
Effect Paradigm briefly. I still have a soft spot for and am still
open to the Casimir Effect playing a modulating role on the proposed
model with one eye on it possibly helping bridge the gap between gravity
and electromagnetic phenomena.
Now
instead of the Entrained Spatial Medium Gravitational Sink Model (ESSMSG)
using the Casimir effect to explain gravity, it posits that gravity by
thinning the space between two masses causes or contributes to or
modifies the Casimir effect. Experiments dealing with the Casimir effect
have attempted to factor out the effect of gravity between the plates
involved. But ESSMSG posits that the thinning of the spatial fabric
between two massive bodies could also impact the vacuum dynamics
between them, providing a mechanism for the operation of the Casimir
effect. So the Casimir effect is
tied to gravity in ESSMSG.
At a minimum the Casimir effect suggests that the fabric of space is
something real.
Recently it has been called to my attention that
Tom Van Flandern’s Meta Model(1) also used a similar
shadowing principle. His asserts that his model can fulfill all the key
predictions upon which the acceptance of general relativity is based. A
unique aspect of the Meta Model - not in my model - is the super-lumeninal
speed of “gravitons”. His model also has the density of the
gravitational medium increase near the massive body, which is the
opposite of the density gradients in ESSMSG.
Now that dark matter and dark energy and the Einstein constant are in
vogue, a number of people are looking at the Casimir effect more
seriously. Einstein’s constant was initially added ad hocly, then
removed ad hocly, and has been added again ad hocly, apparently with an
error of 1055 in the calculations for the energy density of
the vacuum. Whoops! By the way, I would not bet my life that lambda is
constant throughout the expansion of the universe as conventional wisdom
assumes. I find the arguments for such a notion resistible.
Other possible models
(using shrink wrap as an analogy)
There is another basis upon which one could model gravity. Not too
long ago I was working on the electrical system of a boat and used
shrink wrap to protect the electrical connections. Shrink wrap works by
shrinking when heat (energy) is applied. This could serve as an analogy
for a model in which masses somehow shrink the spatial medium in their
vicinity. For example, one can visualize the surrounding space as a
three dimensional net work similar to the way some of those who loop
space do.
The most direct version results in the spatial fibers shrinking more
near the mass than distally. Thus, similar to the Meta Model, the
density of the spatial fabric would be densest near the mass. The result
is a mirror image of the way the Entrained Spatial Sink Gravitational
Model (ESSGM) proposed by me treats the spatial fabric surrounding a
gravitational body and the math associated with this version would have
to assume that denser spatial fabric must slow light here in order to
bend light toward the mass, i.e. The light must jump across more nodes
to propagate a the same absolute reference distance.
One can play with other versions. For example, mass could tug on the
surrounding network stretching the fibers. In a sense this is what
occurs in the rubber sheet analogy i.e. the rubber sheet is stretched in
the vicinity of the bowling ball, but the operating principle is
different. One could base a model on the principle that mass, instead of
causing fibers to kink, somehow causes them to relax.
In all cases curvature would be a reflection of a deeper process,
but these models might be closer to general relativity’s view of things.
At any rate the shrinkage paradigm makes a better analogy for GR than
the rubber sheet analogy.
The reason I pursued ESSGM was that I kept getting confirmation of
certain key ideas in it from others and from my reading.
a. The author did not know about the Casimir effect when he first
started his shadowing model. Learning of the Casimir effect told him
that there was a sub-electromagnetic world in which an underlying
reality existed.
b. Learning of the permittivity of the vacuum in Friedman universes
did likewise.
c. Learning that Newton had proposed a similar model to the author’s,
but had not taken the resultant density gradient of the ether and the
resulting diffraction of light into account.
d. Learning that Einstein had attributed half of the bending of light
to Newtonian processes and half to “curvature”.
e. Learning that Einstein had done calculations based on the
gravitational diffraction of light.
f. Learning that others had successfully calculated that an inflowing
medium gave the Schwarzschild solution.
g. Learning that the universe is presently flat.
Einstein and Fizeau
In his book Relativity(5)
Einstein, using his theory of addition of velocities based on special
relativity, derived the formula W = (w + v)[1 - (vw/c2)],
which he asserted was to the first order of approximation
the same as Fizeau's (Fresnel’s based on Fizeau’s experiment) formula
W = w + v[1 - (w2/c2)].
I believe that Einstein was mainly trying to show that at low velocities
special relativity gave the same results as the Fizeau/Fresnel formula.
For what it’s worth, the
model does likewise at least in form (See Table A in the
model for meaning of symbols). Its
formula for the measured velocity for radially falling light is:
cf = vp + vg[1 - (vp
vg/co2)].
For rising light, two processes are opposed and
the later portion of the expression on the right becomes negative:
cr = vp - vg[1- (vp
vg/co2)]
These formulas can be combined as cc =
vp +
vg[1-( vp
vg/co2)]. This result is not too
surprising and may not signify much.
The Graviton
One is the differences between GR and QM is the character if the
graviton(11). In GR it is a unit of curvature while in QM it
is a particle. Meanwhile the QM assigns the phonon to sound as the
carrier of force. In my model the graviton is
very like the phonon and as such bridges QM and GR. The hidden variables(12)
approach to uniting QM and GR could easily be derived from my model and
treating the graviton similar to a phonon.
Electromagnetism and the theory of
everything
The handed rules of electromagnetism tell me that nature has a
personality at the deepest levels. No theory of everything will be
complete until the cause of this behavior is explained in full. Just as
the behavior of the “by the wind sailor”, Velella velella, a
hydroid like animal of the oceans which always veers to the right
in a wind or current, is a result of its structure and just as the
rotation of light by various chemicals reflects their structure, I
suspect that the behavior of electrons speaks to their structure.
Supporting this thinking is the concept of spin. Point particles
cannot have spin. But a structured particle can. See comments on
dimensions below.
A Definition
One can define time anyway one wishes, because time is a
construct of the human mind, a bookkeeping tool that permits
keeping tract of a sequence of events. Over the millennia the most
significant clocks were the rising and setting of the sun and the
seasons, which we now know is due to the spinning of the earth and the
fact that it orbits the sun with a tilt. But it is important to realize that
the rising and setting of the sun is not time per se.
Einstein defined time as the observer perceived ticking of clocks.
This model (and others)(2,3) proposes that with increased
velocity and in a gravitational field clocks really do slow and so do
chemical processes. Thus people really age more slowly in accelerated
systems. Defining time as equivalent to clock rates might seem
reasonable enough at first blush. But just as in the preceding paragraph
it was important to realize that the raising and setting of the sun is
not time per se, so it is important to realize that clock rates are not
time per se.
Failure to make the distinction between the measurement of time and
time per se leads to misleading consequences. The Entrained Spatial Sink
Gravitational Model is not the first to propose that stationary atomic
clocks in outer space, absent a gravitational field, can serve as a
reference for “absolute” or background time(3). The model
proposes that the real speed of light through the spatial medium varies
with the stage of expansion of the universe.
The model references what might be called the background
gravitational field as the theoretical keeper of
"a universal or background reference time". The real point
is that the velocity of light and all other processes are influenced by
the background spatial density. Those who propose that the Cosmic
Background Radiation can serve as an ultimate reference frame are close
on the mark, tying that role to background Big Bang processes. Any
failure on their part to realize that the real speed of light varies
with the stage of expansion of the universe is unfortunate.
I agree with both Marmet and Beckmann that clocks really do run
slow and that rods really do change length.
Some problems with the
present conventional wisdom of theoretical physics
The first is failure of physicists to recognize that the Michelson
–Morley experiment was inherently incapable of measuring ether drift. As
explained in some detail in the gravitational sink model, the fact that
light obeys gravity and the experiment was conducted deep within the
earth’s gravitational field meant that light was subject to tight
control by the earth’s gravitational field and was not influenced by the
passage of the earth and said field through the background spatial
medium.
General relativity does not specify how gravity warps spacetime,
which must involve the exercise of a true force.
One of the problems I have with standard big bang theory is the
notion that space expands while material matter does not. I do not see
how this can be true since most matter from atoms on up to galaxies (and
maybe down to basic particles) are mostly composed of space.
I have with a problem with the accepted explanation of twin paradox.
I feel that the conventional explanation for the lack of aging of the
twin sent into space as compared to that of the one who remained on
earth is a little quixotic. According to SR both should see the other as
accelerating and acquiring a higher velocity, so each should see the
other as younger when they meet again. The conventional answer is that
the fellow in space reverses direction. But that does not wash. Reverses
direction relative to what? If there is no background space then
relativity dictates that both should see the other reverse directions.
Clearly here both must be using the earth’s reference frame for the
given explanation to work or there must be a background frame. The
proposed model avoids this conundrum by referencing the universe as a
whole during any stage of expansion as a background reference frame.
This incidentally provides a bridge to QM.
In addition to the vacuum energy problem there is the need for
renormalization in QM. Physicists are well aware of these problems, but
given the difficulties reconciling GR and QM one might think they might
be a little more open to rethinking the basics. Talking to theoretical
physicists is often like trying to nail Jell-O to the wall. For example,
one might challenge the proposed ESSGM model by asking “With reference
to what does the spatial medium drift?” while at the same time
maintaining that GR does not need such a reference for curvature as it
is an intrinsic property. Hold on a minute! What’s good for the goose is
good for the gander.
Some cows and a cat
The finite speed of light justifies the concept of spacetime and
leads to observer based differences in the appearance of realities,
consistent with Einstein’s dream about the farmer, his cows, and the
electric fence(4). However, I find the description of the
flow of the electric current in that dream to be faulty with the result
that the cows all jump at the same time while the farmer and Einstein
would see them jump in opposite sequences. I regard the time delays in
observations as a measurement problem which does not change the
underlying reality, only the perception
An analogy would be an object that looks different in size to
observers at different distances from it, but which has only one size in
reality. Another has to do with reflected images of myself in a double
pained window when it is dark outside and I stand in different positions
in my exercise room. In one position I see two of me with the front
image being bigger and to the right. When I move a few feet the bigger
image moves to the left. Yet I think that I am real and not particularly
schizophrenic.
Beckmann asks us to consider two trains side by side whose tracks
lead to a precipice. When one commences to move a passenger may not
initially correctly detect which train is moving though his fate might
hang in the balance. One of these trains has acquired additional
momentum while the other has not.
This brings me to a related issue: the so called observer dependent
reality based on waveform collapse. I am assuming that the reader is
familiar with the Schrodinger cat parable in which a cat is put in a
chest along with a radioactive substance from which a radioactive
particle can be emitted by chance and kill the cat. Now silliness goes
berserk with the supposed belief that the cat is neither alive nor dead
until the chest is opened. What the heck does putting a chest around the
cat have to do with the events that occur?
The idea that something does not exist unless it is observed by a
humans - who have existed for the merest twinkle of an eye in the
history of the universe - is absurd on the face of it. According to this
thinking the universe could not exist until humans came on the scene.
But humans owe their existence to a preexisting universe. A particle
does not know if it is being observed by a human. Most animals and
events never are. In any measurement the particle does not interact with
humans, but photons or other particles, etc. Einstein also believed in
an objective reality independent of observation
Time reversal
A statement that "time flows backward during contraction of the
universe" is equivalent to the nonsense statement that "time flows
backward whenever a clock pendulum changes direction". I would observe
that the only meaningful definition of time reversal would entail the
precise retracing of every chemical, atomic and nuclear reaction in
exact reverse order with a film of all world events being run backwards
being a good analogy.
Dimensions
At times it is useful to treat the gravitational field of the Earth
as if it originated from a point, but the Earth remains a three
dimensional object. In other cases certain problems are more easily
solved by treating situations as functioning on surfaces. But a car
traveling from California to New York remains a three dimensional object
traveling on a three dimensional Earth. The author asserts that all
matter and space has three dimensions and no less. There are no two
dimensional, single dimensional, or zero dimensional objects or
processes in reality.
Focusing on less than three dimensions may be useful as an
interim measure, but is always incomplete and a number of mysteries
disappear when once this fact is accepted. An example is the passing of
70.7% of a monochromatic beam of light through two polarizing filters
oriented at a 45 degree angle with respect to each other. A good deal of
the mystery associated with the diffraction of electrons through slits
disappears when one considers that the sides of the slits are composed
of three dimensional atoms with three dimensional electrons in three
dimensional orbits emitting electromagnetic waves which must influence
the electrons being scattered.
Both Van
Flandern and Steven Rado(6) have recognized the need to deal
with waves three dimensionally. Even a surface wave on a body of water
has three dimensional aspects to it.
Infinity, mathematics and
chance
I am not aware of any infinite thing, only processes. When one
divides by zero, one is saying, "I can decide not to divide as many
times as I wish." Likewise, there is no limit on the number of times one
body can orbit another if wear and tear, friction, etc. can be
eliminated. Nor is there any theoretical limit on how long something can
last, if certain laws of nature are suspended. Likewise there is no
limit on how far an "island universe" can expand into the nothingness
beyond, save for any internal constraints possessed by the universe
itself. But there is no scientifically documented infinite thing.
Mathematics is a powerful language without which we would not
understand much of the world as well as we think we do today. Even ad
hoc mathematical approaches have lead to profound insights, but a
warning flag should go up when ad hocness is stacked upon ad hocness. As
with any other language when pushed to extremes, math is prone to
misstatements. Because one can describe a pink elephant verbally does
not require nature to provide one. Nor is nature obligated to provide
singularities, time to run backwards, or the laws of cause and effect to
be suspended, just because such processes can be described
mathematically. Beautiful simple formulas exist which describe
centrifugal and Coriolis forces, yet no such forces exist in reality,
both being expressions of inertia. Too often it appears that
mathematical mysticism sometimes replaces old fashioned superstition.
Chance, whether we apply it to the toss of a coin or radioactive
decay or any other event, is the name we use when the number of causes
are so numerous or the chain of events is so long or obscured that it is
difficult to track cause and effect meaningfully and one must resort to
statistics. That does not excuse scientists ceasing to think in terms of
cause and effect.
Nature recycles
Einstein’s island universe is explainable using cause and effect if
it recycles. So is a universe which is embedded in a larger superverse.
Universes could appear and disappear much as sunspots do on the surface
of the sun and be explainable in terms of cause and effect. The author’s
understanding is that Guth’s inflationary universe is postulated to have
arisen from such a superverse. Why Guth made the statement about the
universe being “The ultimate free lunch” beats me. Based on the laws of
cause and effect and inertia, there must be an eternal, but
finite existence whose character changes, recycles, or fluctuates
between Alpha and Omega entities. It may that that the personality
expressed during each cycle is not identical. The concept of a
serial multiverse is perfectly consistent with cause and effect. So
is the concept of multiverses embedded in a superverse. But our island
universe or the superverse has to be eternal or finite to be explainable
by cause and effect. One universe is probably all we can hope to
understand, though if the evidence for a Big Bang and a universe which
is expanding at an increasing rate still holds, a reasonable inference
is that our universe may be embedded in something greater.
The calculations showing that the expansion is speeding up depend
upon measurements of the Hubble redshift and the assumption of the
existence of standard candles. It may be that Bill Sumner's paper "On
the Variation of Vacuum Permittivity in Friedmann Universes" is relevant
to the mystery presented by those calculations.(7) By the
way, should the speeding up of the universe hold true with its
implication of an antigravitational force, an additional argument
against singularities is provided.
Nothing leads to dimness
One of the most bizarre concepts in modern cosmology is the idea of
the universe appearing out of nothing as the result of a quantum
fluctuation. If nothing exists, what is there to quantum fluctuate?
Mathematically you can multiply by 0 an infinite number of times and the
result is still 0. Some intellectual giants point out that there was an
eternity for this to occur and purport that given enough time even the
most improbable events occur. But these are the same folks that say that
there was no time before the Big Bang. Some disrespectful persons may
have called this notion "The Theory of Quantum Flatulation". Shame on
them!
Nearly all the major past cosmological models fall into the trap of
having to create something out of nothing, either from a singularity or
continuously.
Electromagnetism and
knowledge
When one speaks of the speed of light he or she is speaking of the
speed of electromagnetism. It follows that electromagnetism in all its
forms cannot travel faster than the speed of light (electromagnetism).
All forms of material matter consist of compilations of electromagnetic
stuff. Thus, it follows that matter cannot exceed the speed of light.
Alain Aspect's work and Bell's theorem suggest to me the possibility
that non-electromagnetic processes may exist which might exceed the
speed of light. Bohm's pilot waves may fall into this category.
At any rate, humans and all of their measuring instruments are
electromagnetic in nature. I suggest that this is the basis for the
uncertainty principle and the apparent wave-particle duality of
electromagnetism. When one tries to measure the full personality of
electromagnetism using electromagnetism, one is forced into using
circular logic and obtains confusing results, but this is no reason to
abandon cause and effect. Richard Feynman(8) observed that if
QED procedures were followed, "...There is no need for an uncertainty
principle."
Rapheal Bousso(12) of the University of California at
Berkeley has derived the uncertainty principle using the holographic
limit. But concepts surrounding the holographic limit, that the ability
of an entity to store information is a function of its surface area and
not its volume, seem to be at odds with the notion in GR that the
attractive power of a mass is a function of both its energy density and
its pressure.
The uncertainty principle as a mathematical concept may define a
limit of possible human knowledge regarding electromagnetic processes,
which is a pretty profound statement. But some of the screwy
ideas associated with the principle, wherein the improbable is rejected
and the impossible accepted, need to be treated as the pseudo science
they represent.
Frequencies and wavelengths
Change in wavelength is not always associated with a change in
frequency. Only when the velocity of light is constant are the two
locked together in an inverse relationship. But Einstein asserts that
the velocity of light varies in a gravitational field. The reader is
also alerted to distinguish between a Doppler effect based on a moving
emitter such as an approaching or receding train emitting a whistle and
that associated with a photon once emitted from a stationary emitter.
Now consider the refraction of light in a physical medium, such as
when light passes from air into glass. The velocity and wave length
change, but the frequency
does not. Blue remains blue, but the velocity of light
is slower in the glass than in the air. Also consider a wave imposed
upon a long string composed of two sections with two different
densities. The velocity of the wave is faster in the portion of the
string with less density - and the wavelength is likewise longer - than
in the portion with greater density, but the frequency remains
constant throughout the string(9).
Of course in the Entrained Spatial Sink Gravitational Model the
velocity and wavelength effects are reversed because light travels
faster in a denser spatial medium and slower in a less dense one. Per
the proposed model a falling photon will experience a decrease in its
internal ability to propagate through the spatial medium as the density
of the spatial medium thins. So the head (leading edge) of the photon is
continually experiencing more retardation of internal velocity then the
"tail" of the photon. Thus, the tail tends to catch up with the head
shortening the wave length. But the falling photon will also be dragged
at a faster rate due to the increasing flow of the spatial medium. Thus,
the head of the photon will tend to pull away from the tail stretching
the photon. The two processes cancel so that the shortening of the
wavelength by the density gradient is offset by the lengthening of the
wavelength by the velocity gradient. In both cases no change in
frequency occurs. The net result is that there is no impact on
either the frequency or wavelength of light falling in a gravitational
field after it is emitted.
But the same does not hold for photons rising in gravitational
fields. Now as the photon propagates it experiences an increased ability
to propagate as the density of the spatial medium thickens. Thus the
head of the photon experiences easier conditions for propagation before
the tail can and the head pulls away from the tail stretching the
photon, increasing the wave length. But the tendency to increase
wavelength is no longer offset by the flow of the spatial medium. Indeed
it is abetted, for now the spatial flow, which is in opposition to the
photon flow, decreases in strength as the photon rises. It is as if
someone was easing up on the brakes and the negative dragging becomes
less. The effect is that the head of the photon once again pulls away
from the tail stretching the wavelength. No change is frequency
occurs, but the wavelength gets longer.
At first blush it might seem as if gravitational systems could be
regarded as generators of increased electromagnetic wavelengths, except
that gravitational fields generate their own self correcting processes.
For the moment pretend that the universe is static. Then the
condensation or absorption of the spatial fabric in the vicinity of
gravitational masses and their associated systems must, as they grow and
operate over time, have a thinning effect on the overall spatial fabric
outside of and between these systems separate from that associated with
expansion of the universe. The result is that light propagates slower
through the thinner background spatial medium creating shorter
wavelengths, but no frequency shifts. This process offsets the
former process so that no net effect occurs.
The expansion of the
universe is another matter which independently causes a “shallowing of
gravitational wells”(10) with the passage of time, that is the
overall thinning of the spatial medium weakens the propagation of
gravitational forces. But the head and tail of a propagating photon are
affected simultaneously with no impact on wavelength. The redshift due
to expansion is due to stretching.
EVEN FURTHER LIGHT
HEARTED CONSIDERATIONS
Once upon a Time
Consider this tale given in a light hearted manner,
but which has serious consequences. The issue at hand was treated in a
more mathematical fashion in the main model.
King Henry recognizing the need for a system of
measurement has modestly declared that the master unit of distance shall
be one tenth of that run by his own royal self in ten seconds using one
of his two favorite clocks which tick at the same rate. The king has
also asked Prince Henry Junior to do likewise in the Land of Oz using
the second clock. Both distances are to be run and marked off on royal
carpets which are to be maintained as official standards of measurement.
The following events are testified to by Merlin,
King Henry’s royal counselor, and the Wizard of Oz, the Prince’s
advisor. They use magic whenever necessary to communicate and ascertain
the Real Truth. But they decided to play a trick on the king and prince
by making clocks in Oz tick only five times per each ten clicks of the
clock in the Home Kingdom and stretching the carpet in Oz to double the
length of that in the home kingdom.
The magicians made sure that both the king and the
prince started their races at the same universal time and verified that
their velocities were identical. The king quit at the end of ten clicks
and Merlin marked off the Home Kingdom’s carpet into 10 equal master
units.
But the prince’s clock had only clicked five times
so he kept running for five more clicks, after which the Wizard marked
off 10 master units on the carpet which became the official standard for
the Land of Oz.
The king believing that by definition he was
running 1 unit per tick was certain that he had run ten units. Viewing
the prince’s effort, he felt that Junior had run twice as far as he was
instructed to do.
The Price likewise regarded his own achievement as
accurate and he could not understand why the king had quit when his job
was only half done. He must be getting old.
Merlin and the Wizard, who were beside themselves
with mischievous joy, asked the prince to measure the standard reference
rod in the home kingdom using the reference rod from Oz, which they
froze in length. The prince found the rod in the home kingdom to have
apparently contracted, which is what Merlin and the Wizard knew that
special relativity predicted.
They told the king to measure the reference rod in
the Land of Oz using the standard reference rod of the home kingdom,
which they also froze in length. The result confirmed that the reference
rod in the Land of OZ had expanded. The King called in the magicians to
explain what was happening. Using their magic they were able to show
king and prince that the clock in Oz was ticking at half the rate of the
Home clock and that calculations based on said clock used with the
longer rod produced the same velocity as would the king’s Home clock and
shorter rod.
The king asked the magicians why he should not lop
off their heads. Their defense was that they wished to provide the king
with an important insight regarding the way the universe functioned and
a concept called timeliness. They explained that their trick was
accomplished by having the Land of Oz fly through the universe with a
much greater velocity than the Home Kingdom possessed.
More On Dimensions
In the end the silliness which follows has a sober point.
Caution needs to be used in discussions involving the dimensions of
space be they one or twenty six. For example, a theoretician may say,
"Imagine that you are in a two dimensional space", etc. It probably is
not possible to do so with any more certainty then one can really
understand what it is like to be a horse. Humans are stuck with being
creatures of three or four dimensional space or spacetime. There could
possibly even be five dimensions if scale is treated as a dimension as
has been propose by Van Flandern(1). There is no documented
two dimensional space. The fact that it is convenient to use a single
dimension or two dimensions in solving certain problems does not reduce
reality to one or two dimensions any more than imagining a blue donkey
makes such a creature real. The same applies to the use of additional
dimensions.
Some of this is intriguing stuff, though it’s a little like mental
masturbation. For instance, draw a line and one has created a
theoretical one dimensional object. (In real life it has three; but what
the heck?) Bend it into a circle and one does not have a two dimensional
object; but a homogeneous isotropic closed one dimensional object.
Take the area of a plane and shape it into the surface of a sphere
(this should be done in private) and one does not have a three
dimensional object; but - you got it! - a homogenous isotropic closed
two dimensional one. My heart can't take much more of this, but hang in
there! We can use a balloon - which is what Einstein likened the
universe to - and which by the way is really a sphere with a hole in it
- so it is a homogenous isotropic closed three dimensional object. You
see whenever you have one of those homogenous isotopic closed things,
you wind up with one less dimension than a regular ordinary thing. So we
need another dimension for the universe or it cannot be one of these
isotropic things. OK, let’s use time for the forth dimension. Now the
question becomes is the universe real? Darn, I may have gotten confused
and mixed up my terminology along the way, which kind of puts a damper
on the whole mess. Anyway, there obviously must be a 5th
dimensional world somewhere or Einstein could never have created his 4
dimensional spacetime. Following this logic an infinite series of higher
dimensions is obviously necessitated.
Amazingly, non Euclidean mathematicians seem to unnecessarily
restrict their supposedly 4 dimensional characters to only two by
insisting that their movements are limited to the surface of a sphere,
which they like to embed. At the same time they wind up with something
floating out there called hyperspace. I'll gladly give up a dimension so
I can have more freedom of movement. But I have gotten far too
frivolous.
In the soberest of moods I note that all of whose processes of the
Entrained Spatial Sink Gravitational Model can be visualized in three
dimensions. My! This seems to be no mean feat!
REFERENCES
(1) Tom Van Flandern, 1993, Dark Matter, Missing planets and New
Comets, North Atlantic Books
(2) Petr Beckmann, 1987 Einstein Plus Two Secs. 2.7, 3.1 &
3.2
(3) Paul Marmet,
http://www.newtonphysics.on.ca/
(4) Joao Magueijo, 2003, Faster Than the Speed of Light,
Perseus Publishing
(5) A. Einstein, December 1916 Relativity, Translated by
Robert W. Lawson, Published by Prometheus Books 1995.
(6) Steven Rado 1994, Aethro-Kenematics, Aethron Publishing
Co.
(7) William. Q. Sumner, 1994 The Astrophysical Journal, Vol.
429, No 2, Part 1 On the Variation of Vacuum Permittivity in
Friedman Universes
(8) Richard P. Feyman, QED The Strange Theory of Light and Matter,
Princton University Press 1985
(9) F. J. Blatt, 1983 Principles of Physics
(10) Wayne Hu & Martin White, Feb. 2004,
Scientific American: The Cosmic Symphony
(11) Lee Smolin, 2001, Three Roads to Quantum
Gravity.
(12) George Musser, Sep 2004: Scientific
American: Was Einstein Right?
Please Contact me
with any information or feedback.
E-mail hcwarren@olypen.com
Regular Mail : 928 Benjamin St. Port
Angeles, Washington
Tel. : (460) 457-7610
URLs of a couple of
related ether sink models follow:
AETHRO KENEMATICS http://www.westworld.com/~rado/
Steven Rado has a home page and a book, which I have
referenced previously. In both he uses the terminology
sink vortex. I agree with the sink part of his concept,
but most definitely not the vortex aspect as he applies
it to gravity. He built his model on the assumption that
an ideal gas is a good analogy for an ether, while my
spatial fabric is consistent with Einstein's
"space." Rado's model still overlaps mine in a
number of respects and his use of vortices seems to be
more readily applicable to electromagnetism. Also, he
does not accept a number of concepts which I feel are reasonable,
including the validity of the Hubble redshift, the big
bang, and Alain Aspect's and Bohm's ideas, though his
does present ideas which are close to Bohm's. But he does have some
interesting insights which are consistent with the work of several
modern physicists.
A THEORY OF THE ETHERIAL SPACE OF NEWTON
AND EINSTEIN http://ourworld.compuserve.com/homepages/hlindner1/
Henry Lindner describes an ether sink model, which is close to mine
in a number of respects. As I have done, he equates his ether with
"space" in the sense that Einstein uses the term. However, his ether
does not posses "momentum", a concept which is crucial in my model. His
ether is cellular, while I do not spell out the nature of the spatial
fabric other than to equate it with Einstein's "space." and
suspect that it is more complex than conventional wisdom suspects . It
could encompass both Rado's gas and Linder's cells or loops or strings
or something not thought of to date.
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