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Discrete time



 
 
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  #1  
Old August 22nd 05 posted to sci.physics.relativity
F. Kuik
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Posts: 69
Default Discrete time

Just to get some thoughts on this...

If you would want to get time into absolute discrete steps, where each step
would be the total universe in some "frozen" state. (Like pausing the
universe)
If you would do this for every frame of reference, all calculated from one
observer... (us on earth?)

What would be the main mathematical problem?

I hope you know what I mean, if not I'll elaborate.

Floris


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  #2  
Old August 22nd 05 posted to sci.physics.relativity
RP
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Posts: 2,001
Default Discrete time



F. Kuik wrote:
Just to get some thoughts on this...

If you would want to get time into absolute discrete steps, where each step
would be the total universe in some "frozen" state. (Like pausing the
universe)
If you would do this for every frame of reference, all calculated from one
observer... (us on earth?)

What would be the main mathematical problem?


The Lorentz transform.


I hope you know what I mean, if not I'll elaborate.


Perhaps you should.

Richard Perry

  #3  
Old August 22nd 05 posted to sci.physics.relativity
Aage Andersen
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Posts: 72
Default Discrete time


"F. Kuik"
If you would want to get time into absolute discrete steps, where each
step would be the total universe in some "frozen" state. (Like pausing the
universe)
If you would do this for every frame of reference, all calculated from one
observer... (us on earth?)

What would be the main mathematical problem?


No mathemathical problem!


You have a Lorentz invariant theory of discrete space-time,
if you assume that space-time coordinates do not commute.
A simple example of such non-commuting coordinates could be


Xp*Xq - Xq*Xp = A*Lpqr*Xr,

p, q, r beeing indices 0, 1, 2, 3 and
(x, y, z, ct) = (X0, X1, X2, X3) being the usual orthognal
space-time coordinates. Einsteins sum-convention is used.
i is the imaginary unit and the tensor Lpqr of rank 3
is a "unit" completely antisymmetric tensor, which can be
constructed from anticommuting Dirac operators Lp

Lpqr = Lp*Lq*Lr, Lp*Lq + Lq*Lp = 2*Gpq

|1 0 0 0|
Gpq = |0 1 0 0| in Special Relativity
|0 0 1 0|
|0 0 0 -1|

Gpq beeing the metric tensor. Lp is assumed to commute
with everything else.

A is a fundamental constant of dimension length, which I
propose called Andersen's constant :-) in honour of my
countrymen Hans Christian Andersen, who is celebrating his
200'th anniversary this year.
A presumemably would be of the same size as the Planck length.

As all equations is expressed in a covariant way via tensors,
such a theory is automatical Lorenzt invariant

Whether such a theory of discrete space-time is feasibel,
can only be shown by extracting som theoretical results and
then compare to experiments.


Aage


  #4  
Old August 22nd 05 posted to sci.physics.relativity
Paul Cardinale
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Posts: 2,000
Default Discrete time


F. Kuik wrote:
Just to get some thoughts on this...

If you would want to get time into absolute discrete steps, where each step
would be the total universe in some "frozen" state. (Like pausing the
universe)
If you would do this for every frame of reference, all calculated from one
observer... (us on earth?)

What would be the main mathematical problem?


Your main problem is physics, not math: The universe does no conform
to your assumption that there is absolute time.

Paul Cardinale

  #5  
Old August 22nd 05 posted to sci.physics.relativity
Autymn D. C.
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Posts: 5,935
Default Discrete time

Paul Cardinale wrote:
F. Kuik wrote:
Just to get some thoughts on this...

If you would want to get time into absolute discrete steps, where each step
would be the total universe in some "frozen" state. (Like pausing the
universe)
If you would do this for every frame of reference, all calculated from one
observer... (us on earth?)

What would be the main mathematical problem?


Your main problem is physics, not math: The universe does no conform

does not
to your assumption that there is absolute time.


Maybe he meant absolutely-discrete.

-Aut

  #6  
Old August 22nd 05 posted to sci.physics.relativity
F. Kuik
external usenet poster
 
Posts: 2
Default Discrete time


"Autymn D. C." schreef in bericht
ups.com...
Paul Cardinale wrote:
F. Kuik wrote:
Just to get some thoughts on this...

If you would want to get time into absolute discrete steps, where each
step
would be the total universe in some "frozen" state. (Like pausing the
universe)
If you would do this for every frame of reference, all calculated from
one
observer... (us on earth?)

What would be the main mathematical problem?


Your main problem is physics, not math: The universe does no conform

does not
to your assumption that there is absolute time.


Maybe he meant absolutely-discrete.

-Aut


I meant absolute time. I'm not saying there is such thing. Just wondering
what the biggest math problem would be if you would have a transformation
from our non-absolute to something absolute. I'll work details out and post
the whole thought later on.


 




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