Wednesday, January 7, 2015

Measure theory, Heisenberg and relativity

What happens when one atomic clock goes near the speed of light relative to another?  The high velocity atomic clock shifts the decimal point to the right, relative to the stationary.  As Heisenberg says about uncertainty, we cannot count fractions, they are unseen, only integers count, whole numbers.  So the high speed clock returns to earth, having counted more fractions and fewer whole numbers.

Why did the high speed atomic clock become more accurate? Because entropy has to match the entropy of free space everywhere, light is the constant entropy of space.  So, at high speed, the atom retains its group structure (it is adiabatic), but has to store more kinetic energy. So it raises the accuracy of its rational approximation of Phi, it retains local addivity but has more combinations of movements internal.  Hence, its counts more fractions before triggering a whole number; compared to the stationary atomic clock.

Now Newton says that if the atomic clock goes around the earth often enough then eventually the difference in whole numbers will be noticeable.

On a related subject, has anyone noticed that the Einstein field equations count to about 12, the dimensionality of the sphere? Has anyone noticed that these equations can be decoupled and collapsed into six equations, just about the same multiplicity of Lucas polynomials? Its all about combinatorics, the number of arrangements that can be assembled while keeping the diverge3nce theorem equally accurate inside the sphere. Time is about mapping local density to a number line so we can use Isaac's grammar. Locality is about making local counts log additive so exponential solutions work. Nature is constrained to hyperbolics because nature has no global variables.


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