A Process Model of Quantum Mechanics

William H Sulis

doi:10.4236/jmp.2014.516176

Abstract

A process model of quantum mechanics utilizes a combinatorial game to generate a discrete and finite causal space upon which can be defined a self-consistent quantum mechanics. An emergent space-time M and continuous wave function arise through a non-uniform interpolation process. Standard non-relativistic quantum mechanics emerges under the limit of infinite information (the causal space grows to infinity) and infinitesimal scale (the separation between points goes to zero). The model has the potential to address several paradoxes in quantum mechanics while remaining computationally powerful.

Highlights

Questions concerning the completeness of quantum mechanics and the proper interpretation of the wave function date back to its earliest days and remain unresolved to this present day
Debate into the nature of the wave function continues [3] [4], with some authors continuing to view it in probabilistic terms [5] while others have mounted arguments for it being a physical entity [6]
This paper aims to contribute to these debates, presenting a decidedly unromantic model of quantum mechanics, grounded in process theory, in which wave functions correspond to real physical waves, in which space-time and physical entities are emergent, and which is discrete, finite, intuitive, causal, quasi-local and quasi-non-contextual, yet retaining the computational power of standard quantum mechanics

Summary

Introduction

Questions concerning the completeness of quantum mechanics and the proper interpretation of the wave function date back to its earliest days and remain unresolved to this present day. Each informon is interpreted as providing a local ( ) -contribution φn (z) = Γn f (z, xn ) to the wave function Ψ (z) of some physical entity. The conditions under which this is possible depend upon the form of the generating function g for the local Hilbert space contribution and the geometry of the embedding into , and can be derived from various interpolation theories [17] [18]. A product ⊗i i , (or ⊗ˆ i i ) or an entanglement of primitive processes i i , (or ˆ i i ) means that during a given round, all of the i are concurrently generating single informons. Processes are considered to act non-deterministically, a term used in computation theory to mean that actions are described by set-valued maps without any intrinsic probability structure. One cannot do justice to this topic in a short note and the theory of interaction and measurement will be discussed in a separate letter

A Model of NRQM

Conclusion