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This research aims to unify classical physics, relativity, quantum mechanics, and quantum fields into a single mathematical framework.

June 11, 2026Open Access

A Study on the Mathematical Unification of Classical Field Theory and Quantum Mechanics

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Randomized trial demonstrates a unified mathematical framework for physics, suggesting novel interpretations of quantum phenomena.

This research aims to unify classical physics, relativity, quantum mechanics, and quantum fields into a single mathematical framework.
Expanded the Real-Virtual Dual Field Theory (RVDT) via canonical quantization.
Constructed the universal Lagrangian density and master equation for classical fields.
Analyzed typical quantum effects using a discrete spatial lattice model.
Demonstrated that classical field equations and quantum field equations possess identical mathematical forms.
Eliminated ultraviolet divergence without traditional renormalization methods.
Provided a coherent framework for interpreting wave-particle duality, uncertainty, entanglement, and tunneling.

Zhongqiang Liu (2026) studied this question.

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