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| Tags: discrete, time |
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#1
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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
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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 |
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#3
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"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 |
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#4
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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 |
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#5
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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 |
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#6
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"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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