Changmin Wei

Spectral Geometric Prism Model: A Unified Field Framework via Finite-Action Constraints

We propose the Spectral Geometric Prism Model (SGPM), a unified field framework built upon finite-action topological constraints to resolve infrared divergences arising from noncompact physical spacetime. Single compactification via finite Yang–Mills action yields a topological h...

A Spectral-Geometric Proof of the Goldbach Conjecture

This paper presents a proof of the Goldbach Conjecture: every even integer2N ≥4 can be expressed as the sum of two prime numbers. The argument is builtwithin spectral geometry. We embed the prime-pair decomposition condition intothe zero locus of a singular spectral potential def...

A Spectral-Geometric Proof of the Goldbach Conjecture

This paper presents a proof of the Goldbach Conjecture: every even integer2N ≥4 can be expressed as the sum of two prime numbers. The argument is builtwithin spectral geometry. We embed the prime-pair decomposition condition intothe zero locus of a singular spectral potential def...

Global Regularity via Spherical Compactification for the 3D Navier–Stokes System

The global regularity problem of the three-dimensional incompressibleNavier–Stokes equations is one of the most famous unsolved mathematicalproblems listed on the Clay Mathematics Institute Millennium Prize list.Over the past decades, a large number of scholars have carried out e...

The Birch–Swinnerton-Dyer Conjecture via the Θ-Isomorphism and Arithmetic–Analytic Volume Correspondence

Version 2 (August 5, 2026): This paper presents a full unconditional global proof of the Birch–Swinnerton-Dyer conjecture for all rational elliptic curves, superseding Version 1. The proof establishes two core results: (1) the equality between algebraic rank and analytic rank; (2...

Conditional Formal Proof of the Riemann Hypothesis via Infinite Total Positivity of the Xi Kernel (Lean4 Verified)

本文提出了黎曼猜想(RH)唯一的最优逻辑封闭框架,该框架完全可以用Lean4和Mathlib形式化。我们摒弃了所有启发式算子构造、量子类比和渐近逼近分支。我们严格遵循De Bruijn-Newman/Laguerre-Pólya全正性路径——这是通往黎曼猜想的唯一最小、非冗余且逻辑完备的等价路径。 我们证明,与黎曼 xi 函数相关的积...