Quantum theory is classical mechanics with non-local existence

Details Quantum theory is classical mechanics with non-local existence Quantum theory is classical mechanics with non-local existence

2009-12-13

arxiv.org/abs/0912.2474v1

Physics

Quantum Physics

13 pages, 3 figures

Scientific paper

I propose a new and direct connection between classical mechanics and quantum mechanics where I derive the quantum mechanical propagator from a variational principle. This variational principle is Hamilton's modified principle generalized to allow many paths due to the non-local existence of particles in phase space. This principle allows a physical system to evolve non-locally in phase space while still allowing a representation that uses many classical paths. Whereas a point in phase space represents a classical system's state, I represent the state of a non-local system by a mixed trajectory. This formulation naturally leads to the transactional interpretation for resolving the paradoxes of the measurement problem. This principle also suggests a more flexible framework for formulating theories based on invariant actions and provides a single conceptual framework for discussing many areas of science.

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