Friday, March 14, 2014

Time dilation and Lorentz

I have to get specific about Einstein's relativity. Here I give the Unified Field Theory version.


These are the time and length dilation factors in special relativity.  The observer in the space craft moving along straight sees time t, and and distance x. The observer watching him sees t' and x'.  We know this is the Nyquist following the path of minimum phase, so the observer on the ground thinks the object is going slower and getting longer, along 'straight'.

That Greek letter, gamma,   comes from this equation to the left.  It says that as the spacecraft approaches the speed of light, the observer thinks it is moving a lot slower, he still sees things at the Pauli rate, that would be the x'.  He also thinks time on the object is faster.

This is special relativity, it was designed to explain a flat world.  What we call the path of minimum phase, let's call  the Pauli path, OK. We know that our work with Maxwell equations that  the Pauli path curves when two fields making a wave are not perpendicular. Same thing happening here.

Now we know that any object always gets sampled at the Nyquist rate. Even light, it gets sampled at the Nyquist rate, and travels at the slower Pauli rate.

Any moving mass has phase delay, the faster it moves, the more phase imbalance that Nyquist has to remove.  The energy of motion is exactly Nyquist removing phase delay. The rate of motion is the difference between comes from the force of  phase delay. That phase delay force must be measured relative to the nominal phase delay Nyquist always imposes to make Pauli.

Here is the catch, and here is the relationship between Einstein relativity and quantum mechanics.  The mass is quantized to a coarser granularity than any field in the region where the mass is stable.  Take that as the definition of mass, it has larger quant size than any field in which it moves. As the object moves fast, the more phase delay it has. At some speed, until Nyquist starts over filling the quant sizes along the path.  The fields do not care, they will be restabilize later, at the proper quants according to the matter wavelengths in the region. But the samples along x have larger phase values then any where else, and the observer will see that, and the object, along x will be larger, and the rate of samples coming to him seem slower.

Time dilation: The time (∆t' ) between two ticks as measured in the frame in which the clock is moving, is longer than the time (∆t) between these ticks as measured in the rest frame of the clock:

Length contraction: The length (∆x' ) of an object as measured in the frame in which it is moving, is shorter than its length (∆x) in its own rest frame:
But isn't the Pauli path still along X? Nyquist always adds a bit of curvature to the fields, the Pauli path is never straight relative to Nyquist vacuum. So no, the relativity Pauli path has more curvature than the unrelativity path.

The rate of curvature should always be toward the regional center of compaction, making a kind of well to keep thing in the region. This curvature is only with respect to fields, the Nyquist has no sense of direction at all, only a local sense of phase imbalance.


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