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shifa liu

75 results in Authors: shifa liu

Physics and Astronomy

Working Paper

The Big Bang: From Singularity Big Bang to Zero-Point Big Bang

dongqi liu, shifa liu

Version 1 posted 23 February 2026

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Mathematics

Working Paper

A Rigorous Framework for the Hodge Conjecture via Differential Algebraic and Homological Algebraic Methods

dongqi liu, shifa liu

Version 1 posted 27 November 2025

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Physics and Astronomy

Working Paper

Quantum Space-Time Relativity: A Unified Framework from LLS Formulation to Consistent Dirac-Type Theory with Comprehensive Experimental Validation

dongqi liu, shifa liu

Version 1 posted 04 November 2025

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Mathematics

Working Paper

Unified Solving of Transcendental Equations with Logarithms via Hierarchical Differential Algebraic Closure

dongqi liu, shifa liu

Version 1 posted 11 October 2025

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Mathematics

Working Paper

Unified Analytic Solution of Partial Differential Equations in Differential Algebraic Closure

dongqi liu, shifa liu

Version 1 posted 22 October 2025

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Mathematics

Working Paper

Explicit Analytic Solutions to Total Differential Equations via Constructive Differential Algebraic Closure

dongqi liu, shifa liu

Version 1 posted 22 October 2025

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Mathematics

Working Paper

Differential Algebraic Closure Framework for D-Module Theory: Constructive Solutions to Systems of Linear Partial Differential Equations

shifa liu

Version 1 posted 14 November 2025

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Physics and Astronomy

Working Paper

From Space-Time Relativity to Energy-Momentum Relativity: A First-Principles Derivation from the Equivalence of All Forms of Energy

dongqi liu, shifa liu

Version 1 posted 25 September 2025

147

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Mathematics

Working Paper

Dual Variational Calculus for Higher-Order Variations and Their Inverses: A Complete Theory of the Descent Hierarchy and Its Geometric, Arithmetic, and Analytic Correspondences

shifa liu

Version 1 posted 13 March 2026

155

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Mathematics

Working Paper

Unified Solving of Exponential Diophantine Equations via Hierarchical Differential Algebraic Closure: A Complete Constructive Framework for Structured Subclasses

dongqi liu, shifa liu

Version 1 posted 11 October 2025

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75 results in shifa liu in Authors: shifa liu

The Big Bang: From Singularity Big Bang to Zero-Point Big Bang

A Rigorous Framework for the Hodge Conjecture via Differential Algebraic and Homological Algebraic Methods

Quantum Space-Time Relativity: A Unified Framework from LLS Formulation to Consistent Dirac-Type Theory with Comprehensive Experimental Validation

Unified Solving of Transcendental Equations with Logarithms via Hierarchical Differential Algebraic Closure

Unified Analytic Solution of Partial Differential Equations in Differential Algebraic Closure

Explicit Analytic Solutions to Total Differential Equations via Constructive Differential Algebraic Closure

Differential Algebraic Closure Framework for D-Module Theory: Constructive Solutions to Systems of Linear Partial Differential Equations

From Space-Time Relativity to Energy-Momentum Relativity: A First-Principles Derivation from the Equivalence of All Forms of Energy

Dual Variational Calculus for Higher-Order Variations and Their Inverses: A Complete Theory of the Descent Hierarchy and Its Geometric, Arithmetic, and Analytic Correspondences

Unified Solving of Exponential Diophantine Equations via Hierarchical Differential Algebraic Closure: A Complete Constructive Framework for Structured Subclasses

75 results in Authors: shifa liu