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

TL;DR

This paper bridges quantum mechanics and classical polymer theory using density functional theory and the Feynman isomorphism, proposing a 5D thermal-space framework that addresses quantum measurement and relates to gravity and electromagnetism.

Contribution

It introduces a novel 5D thermal-space approach linking quantum foundations with classical polymer theory, deriving electromagnetism and gravity from polymer interpretations.

Findings

Establishes a connection between quantum mechanics and polymer self-consistent field theory.

Proposes a 5-dimensional thermal-space-time ensemble for quantum physics.

Derives electromagnetism and gravity as emergent results from polymer-based quantum foundations.

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.