T.R | Title | User | Personal Name | Date | Lines |
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396.1 | Minkowski and LeGuin | PROSE::WAJENBERG | | Mon Oct 06 1986 09:49 | 36 |
| Do you propose to derive mathematical transformations from your
version of the postulates? or will you re-use Einstein's? (Nothing
wrong with either approach, but of course any new transformations
would have to match experimental results.)
I ask because shortly after Einstein published the special theory of
relativity (STR), Minkowski re-expressed it in terms of spacetime and
the spacetime interval (analogous to distance in three-space).
That system of kinematics did not add anything new to STR, but it
provided a very convenient symbolism and terminology for discussing
and developing it. In many ways, it parallels the reformulations
you suggest.
For instance, there is a thing in STR called the "four-velocity,"
which is indeed an object's velocity through spacetime. (It is
measured in seconds per second and so is always equal to 1 in
magnitude, but its direction varies with the object's state of motion.)
Minkowski's spacetime geometry gives a special status to light,
as must any treatment of STR. But in his formulation light does
not move through time OR space. The spacetime interval between
any two events on a light ray is zero. Lightlike intervals are
also termed "null intervals." In its own frame of reference, it
would seem, light does not exist. This has always bothered me....
Getting back to science fiction, Ursula K. LeGuin has written a
series of novels about the "Ekumene," a collection of human-settled
worlds without FTL ships. Instead they have NAFAL ships (Nearly As
Fast As Light -- I didn't make it up, SHE did). However, she DOES
allow FTL communication via a device called an "ansible." Even
with ansibles, it makes interstellar travel a much more serious
business, as I'm sure she intended, and planets remain more like
worlds and don't reduce to spherical nation-states as they tend
to do in much science fiction that indulges in FTL travel.
Earl Wajenberg
|
396.2 | okay but... | CACHE::MARSHALL | beware the fractal dragon | Mon Oct 06 1986 11:08 | 17 |
| my question is: Are the two postulates really independant?
Seems to me that they are essentially the same, 2 being a special
case of 1.
The history of it suggests this. The problem Einstein addressed
was that the results of the Michelson-Morley Experiment did not
agree with Newtonian predictions, the speed of light measured the
same regardless of the relative motion of the observer.
Waht I'm saying is not that you can't do this, but be sure to work
out the consequences fully.
/
( ___
) ///
/
|
396.3 | Time moving through space | HARDY::BERNSTEIN | This arises, That arises | Mon Oct 06 1986 12:20 | 86 |
| Re 1:
The modified postulate indicates a different definition of
simultaneity, thus a different conception of time and space. This
implies that just about all the mathematical representation have
to be reworked.
Unfortunately (as any of my physics or astronomy proffessors
would vehemently testify) I'm hopelessly inadequate at the necessary
math, and just don't have time to get better at it. I would gladly
accept any ideas on the direction such a redefinition needs to go.
re Minkowski:
What I'm trying to do is define a representation which bases
definitions of time on the results of relativity, so nicely described
by Minkowski.
The Newtonian vestige I see in Einstein's definition of simulaneity
is the assumption of space in order to define time. The definition
of velocity, then, is what makes complex equations nessessary to
transform from one frame of reference to another. A frame of reference
is "at rest", but only in 3 dimensions of space, not in the four
diminsions of spacetime. It seems more reasonable to focus and define
space and time around more absolute quantities. The frame if reference
"at rest" is really moving in time at it's maximum velocity, because
the constant spacetime interval is not translated at all in space.
Light is the limiting case, not because it is the fastest rate possible
in the universe (seemingly arbitrarily) but rather it is without
mass, and cannot move through time at all. It is absolutely at rest.
What moves, then, I would call moments of time, through space.
Light originates with an event, and is placed at a moment in time.
The moment is propogated through space, with the light balancing
any loss of mass by the event. Mass lost must be energy expelled
into the universe as a whole. The structure of the expulsion occurs
according to Minkowski's geometry, connecting all points in the
universe with the event in exactly one lightlike vector. Following
the discharge of the light, a spherical shell of such vectors would
follow the propogation of the moment throughout the universe.
The light (or potential light. Presence of energy is irrelevant
to the geometry) has not moved in time at all...rather the moment
is connecting all points in the universe, just as we usually think
of electric fields propogating information across distances.
What this view eliminates is a way to synchronize clocks in
space. Events are synchronized relatively (as Relativity states)
but the synchronization is independent of distance, dependent only
on the distance from the common event (like the flash of a light).
(I feel like I'm rambling, so I'll conclude) The point which
is a spacetime interval of 0 is like a universe created and which
grows at the "speed of time" except now translated in space instead
of time.
re .2
> The history of it suggests this. The problem Einstein addressed
> was that the results of the Michelson-Morley Experiment did not
> agree with Newtonian predictions, the speed of light measured the
> same regardless of the relative motion of the observer.
Einstein was actually unaware of the Michelson-Morley experiment,
though he understood the results of experiments indicated that a
direction of Earth's motion through the ether was undetectable.
He based his postulates on an asymmetry which appeared in the
mathematics of Maxwell's equations, but which was not experimentally
observable.
Anyway, by changing the postulate, I haven't affected the observed
effects. Only the interpretation is changed. When measuring the
speed of light in any frame of reference, the same value will be
obtained regardless of relative motion of source and observer, because
the speed of light is independent of any frame of reference moving
in time. Light is not moving in time, so that any velocity (distance
between two points divided by the time for light to travel from
one to the other) is rather the speed at which the observer's frame
of reference is moving in time.
I tried for a long time to explain this well to science professors,
without terribly much success, but neither did they have any reason
why it is not a valid restatement of relativity. I welcome any and
all comments/criticisms.
Ed
|
396.4 | The Number of STR Postulates | PROSE::WAJENBERG | | Mon Oct 06 1986 14:27 | 10 |
| Postulate 2 is or is not a special case of postulate 1 depending
on exactly how it is worded. A common loose wording for 1 is, "All
the laws of physics stay the same in any frame of reference." Then,
since the speed of light is a natural constant, 2 is a consequence
of 1. But sometimes 1 is phrased as, "The *algebraic forms* of
the laws of physics remains unchanged." Then 2 becomes an independent
statement, since changing the value of c does not change the algebraic
form of the equations where it shows up.
Earl Wajenberg
|
396.5 | confused | CACHE::MARSHALL | beware the fractal dragon | Mon Oct 06 1986 15:12 | 13 |
| re .3:
After careful consideration, I am convinced that you are not changing
anything at all. You may be re-phrasing the postulate, you are not
changing the postulate.
Is this your intent?
/
( ___
) ///
/
|
396.6 | My intentions, and the Postulates verbatim | HARDY::BERNSTEIN | This arises, That arises | Mon Oct 06 1986 18:00 | 49 |
|
re .5:
Basically yes. I don't want to change relativity, but I would
like to "streamline" the conceptualization of it, and offer a more
appropriate foundation for a new set of mathematical representations.
I DO want to show why different definitions of time and space are
more appropriate BECAUSE of relativity. The new definitions I'm
outlining make intuitive understanding of the behavior of high velocity
particles easier. The major drawback is that the conversion from
the present representation to my representation is difficult, because
the domains delimiting "time" and "space" are different in the two
definitions.
re .4:
[From Einstein's paper "On the Electrodynamics of Moving Bodies",
1905, reprinted by Dover Books in the collection _The Principle
of Relativity_]
(p. 41 section 2: 'On the Relativity of Lengths and Times')
The following reflexions are based on the principle of relativity
and on the principle of the constancy of the speed of light. These
two principles we define as follows:--
1. The laws by which the states of physical systems undergo
change are not affected, whether these changes of states be referred
to the one or the other of two systems of coordinates in uniform
translatory motion.
2. Any ray of light moves in the "stationary" system of coordinates
with the determined velocity _c_, whether the ray be emitted by
a stationary or a moving body. Hence
Velocity = (light path)/(time interval)
where time interval is taken in the sense of the definition in section
1.
__________________________________
(The definition in section 1 dealt with the defining of simultaneity
by having two clocks an equal known distance from some instantaneous
event, like a flash of light. It is this definition of simultaneity
that I argue is not physically appropriate, but was used to make
the math consistant with Newtonian equations)
Ed
|
396.7 | CONFUSED (and perhaps misinformed) | CSTVAX::CARLSON | | Tue Dec 09 1986 14:42 | 10 |
| After having read the original note and all the replies, I'm still
not sure why you find Einstein's definition of simultaneity to be
inappropriate. Could you elaborate on this discrepancy you find?
-- Scott
P.S. Maybe I'm just too classically trained, but I don't find the
"new" theories (or should I say new explanations of old theories)
any less complex. Was eliminating confusion the purpose here?
No offense intended, I'm just not sure I understand the point.
|
396.8 | Doubts! No, your kidding? | VIDEO::GILI | | Fri Jun 12 1987 18:52 | 9 |
|
To eliminate any doubts any of you might have about Einstein's
General Theory of Relativity, read the book "Was Einstein Right?",
by Clifford M. Will. The book was just published last year.
It certainly cleared up any doubts I had!
The Mad Hacker
|
396.9 | | PROSE::WAJENBERG | | Mon Jun 15 1987 10:09 | 2 |
| So which certainty did it leave you with? That Einstein was right
or that he was wrong?
|
396.10 | Right, not Wrong! | VIDEO::GILI | I'm already there... | Mon Jun 15 1987 18:59 | 7 |
|
It left me with the definite feeling that Einstein was most
certainly right!
The Mad Hacker
|
396.11 | EINSTEIN'S DREAMS by Lightman | VERGA::KLAES | I, Robot | Mon Jan 11 1993 11:20 | 52 |
| Article: 422
Newsgroups: alt.books.reviews,rec.arts.books
From: [email protected] (Chris Hynes)
Subject: Einstein's Dreams by Alan Lightman
Sender: [email protected]
Organization: University of North Carolina Extended Bulletin Board Service
Date: Wed, 6 Jan 1993 00:57:06 GMT
EINSTEIN'S DREAMS by Alan Lightman
Pantheon Books, 201 East 50th Street, New York, NY 10022
ISBN 0-679-41646-3
$17.00 hardcover (available now)
This first work of fiction by physicist Alan Lightman is an
elegant and intricate peek inside the brain of Albert Einstein while
he was a young patent clerk in 1905. Each chapter brings his dreams
and our minds to a different world in which the central element, time,
plays a crucial role in defining that world. Time defines our world,
and we treat it as a fixed factor of our existence and it is very easy
to forget it is there and ignore the effect it has on our lives. What
if time stood still instead of advancing at a regular rate? What if
time moved at a different rate for different people or in different
regions of the world? What if time were discontinous? What if time
accelerated and decelerated at an irregular rate instead of being
smooth and steady? Each short and beautifully written chapter
explores one of these possibilites as Einstein dreams what the world
would be like. The book is interrupted by interludes in which we see
Einstein himself talking with a friend of his and they discuss his
obsession with his theory of time and his progress in development of
that theory. We see Einstein's thinking progess as his dreams continue
and seemingly take over his life.
It may seem like quite an undertaking to imagine what was
going on inside of Einstein's head at this moment in history, but
Lightman does a superb job that perhaps only a physicist of his
caliber could pull off. If you doubt the quality of this book, just go
to your local bookstore (we just got several copies where I work), and
just read one chapter. Each one is only 3-5 pages long and that is
how long it took me to get hooked on this one. Lightman's book wastes
no words in trying to alter how we perceive the world in the way that
perhaps Einstein saw the world. Anyone who reads this, please let me
know if you enjoyed it. I always like to hear from people when I
recommend a book, and since this is my first on-line review, I think
it will be especially appreciated. Thanks to all.
[email protected]
--
The opinions expressed are not necessarily those of the University of
North Carolina at Chapel Hill, the Campus Office for Information
Technology, or the Experimental Bulletin Board Service.
internet: laUNChpad.unc.edu or 152.2.22.80
|