Friday, January 2, 2015

Local conservation of space




   f'(x) * (integral) tanh(f(x) -f(x)/2 = ln(cosh(f(x))

Two post previous I hand waved up this equation, derived from the standard hyperbolic differential equation. What does it mean?  All relationships in free space must be locally additive.  Or,  vacuum density is result of local combinations, there are no fields in nature. Hence, the motion of the 'exponent' in the hyperbolic cosh must cause a natural exponent over all of its exchanges.

Hence the equivalence between minimum redundancy and Weiner motion.  More on this later, but it figures in general relativity. Densities have to resolve such that their change is proportional to their value.allowing motion to be additive locally.

So what is the difference between relativity and quantum mechanics?
 Relativity adds a spectral component to light or gravity and lets mass be the independent variable.
Quantum mechanics adds a spectrum component to matter and lets light be the independent variable.  In both cases the ides is to restore local additivity, that is find the spectral lines of symmetry along  which Isaac Newtons grammars once again works.

But the difference between matter and light is complementary spectra.  Matter is additive internal to its unit sphere and light is additive external to the sphere.  When the spectral complements are found, we get a Compton match and the system is a digit system, or a power series of finite size.

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