What question did this study set out to answer?

The aim is to create a unified physical theory based on differential algebra that encompasses various branches of physics.

February 17, 2026Open Access

Unified Physical Theory Based on Differential Algebra: Constructive Derivation and Proof from First Principles

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This framework derives a unified theory incorporating multiple physics domains, suggesting new computational methods.

The aim is to create a unified physical theory based on differential algebra that encompasses various branches of physics.
Developed a mathematical framework using differential algebra to unify classical and quantum theories.
Utilized Wilsonian renormalization group in a Banach space to prove the existence and uniqueness of our construction.
Derived equations of motion for field theories in any dimension and established correction formulas using representation theory.
Introduced a scheme for classifying physical singularities and supporting quantum-classical correspondence through algebraic methods.
Proposed a verification framework and automated derivation system utilizing interval arithmetic.
Successfully recovered traditional physics theories as special cases within the new framework.
Derived unique equations that accommodate high-dimensional complex physical situations.
Established a robust classification for singularities, enhancing theoretical understanding and application.
Created computational tools that enable practical implementation of this unified theory.

shifa liu (2025) studied this question.

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