Chimp

Theoretical physicist Richard Feynman derived the "sum over histories" interpretation of quantum mechanics, where a system does not have a single history, but it has every possible history, and each history has its own probability amplitude. For example, an electron travels from point A to point B by every possible route at once. Each possible route or "path" corresponds to a history.

path integrals

The amplitude for each history defines the probability of that particular path being followed. The number involves the "action" associated with the history-path, which seems to determine that the path taken, will be the history closest to the "classical" trajectory, in accordance with the law of conservation of energy.

Stephen Hawking explains that when we apply the Feynman sum over histories to particles moving in a background of spacetime, we must also include histories in which the particle travels faster than light and backwards in time.

I propose that these histories and worldlines are fundamental, or elementary waves-distributions, that are ripples in a basic substrate of stochastic noise - chaos. Waves that are in phase, travelling in opposition to each other, constructively interfere with each other and are at resonance. The resonating probability waves are what we can call the "collapse of the wave function" of the Copenhagen interpretation.

The waves that are out of phase destructively interfere with each other and form the basis of the stochastic noise and quantum fluctuations, which have been empirically verified through the "Casmir effect".

A system's history or "worldline" is a resonating four dimensional entity!

Time-particle-antisymmetry and reverse time translation of probability amplitudes is given by the equations of special relativity:

t = t'/sqrt[1-B^2]

t = -t'/sqrt[1-B^2]

(t*L) = (-L*t)

Strings and branes could actually be resonating waveforms

Since general relativity is a background independent theory, spacetime must also have its own probability density wavefunctions and sum over histories. Distributed identity. A stratification of probability density functions for relational space-time.

Russell E. Rierson
analog57@yahoo.com