An Interpretation of Quantum Foundations Based on Density Functional Theory and Polymer Self-Consistent Field Theory

• URL: http://arxiv.org/abs/2111.14236v1
• Date: Sun, 28 Nov 2021 20:46:45 GMT
• Title: An Interpretation of Quantum Foundations Based on Density Functional Theory and Polymer Self-Consistent Field Theory
• Authors: Russell B. Thompson
• Abstract summary: Feynman quantum-classical isomorphism is used to connect classical polymer self-consistent field theory with quantum time-dependent density functional theory. One dynamic postulate is added to two static postulates which allows for a complete description of quantum physics from a 5 dimensional thermal-space perspective.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The Feynman quantum-classical isomorphism between classical statistical mechanics in 3+1 dimensions and quantum statistical mechanics in 3 dimensions is used to connect classical polymer self-consistent field theory with quantum time-dependent density functional theory. This allows the theorems of density functional theory to relate non-relativistic quantum mechanics back to a classical statistical mechanical derivation of polymer self-consistent field theory for ring polymers in a 4 dimensional thermal-space. One dynamic postulate is added to two static postulates which allows for a complete description of quantum physics from a 5 dimensional thermal-space-time ensemble perspective which also removes the measurement problem. In the classical limit, a cylinder condition naturally arises as the thermal dimension becomes irrelevant, providing a justification for using 5 dimensions and a cylinder condition in general relativity, which is known to produce 4 dimensional space-time gravity and Maxwell's equations. Thus, in this approach, the postulates of electromagnetism become derived results of a special case of a ring polymer interpretation of quantum foundations.

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