guobin ouyang

3.1 ℳ Field Normal Geometry Structure

This article defines the normal geometry structure of the Matter Sector ℳ. The ℳ sector corresponds to the Cl(0)→Cl(3) segment of the Coding Orbit, whose algebraic foundation is the Semisimple Splitting Cl(3) ≅ ℍ ⊕ ℍ. The normal geometry of the Matter Sector is described by the s...

10.18 Time Entropy and Time Entanglement

A geometric model of time entropy and time entanglement is established. Time entropy characterizes the number of information field decoherence layers per unit causal advancement, constituting the microscopic geometric scale of the arrow of time. Time entanglement criterion: two s...

1.5 Algebraic Action $S(\sigma)$

This paper defines the Algebraic Action , and proves that the action coefficient is determined by the fixed point of Spin(8) triality. The action is purely algebraic — it contains no transcendental functions, and its minimum provides algebraic constraints on physical constants. T...

0.6 Seven-Layer Truncation: Representation-Theoretic Boundary

This article proves that Seven-Layer Truncation () is not a mathematical approximation, but an **insurmountable representation-theoretic boundary**. This boundary is jointly sealed by Bott Periodicity and Interlock. The 128-dimensional anti-commuting residue subspace of Cl(8) is...

8.15 Cosmic Initial State

Starting from the total cosmic zero state, we derive the full process of the cosmic initial state. Region generation is based on the seven-level recurrence scale harmonic expansion; particle masses are determined by the spectral expansion/Born rule; the ℳ𝒞ℐ three-sector M-C waist...

8.18 Galaxy Rotation Curves and Falsification of Dark Matter

Starting from the ℳ𝒞ℐ Three-Sector and Coding Orbit compactification, combined with the Permeation Function elliptic PDE framework, this article establishes the nonlinear correction to gravity at galactic scales induced by three-dimensional coherent leakage of the Information Fie...

10.8 Geometric Fluid Dynamics

The material realm flow is extended to continuum mechanics, establishing pure geometric fluid dynamics and aerodynamics. Core results: the geometric Reynolds number is determined by the spectral ratio of the Birkhoff Hessian; the boundary layer thickness mm; the Kolmogorov scale...

9.6 Anomalous Magnetic Moment

Anomalous Magnetic Moment

8.19 CMB Dipole

This article demonstrates that the amplitude discrepancy between the Coding Orbit Temperature Field dipole and the Structure dipole originates from the local curvature deviation at the observer's pixel when the two-dimensional Coding Orbit is projected onto three-dimensional phys...

10.20 Information Field Cumulant Factorization and Geometric Proof of Molecular Chaos

In 2025, Yu Deng, Zaher Hani, and Xiao Ma achieved a breakthrough in the core branch of Hilbert's Sixth Problem: rigorously deriving the Boltzmann equation from hard-sphere dynamics, and then deriving fluid mechanics equations from the Boltzmann equation. The core mechanism is "t...

3.8 Quarkonium Spectrum: High-Dimensional Geometric Origin

Starting from the {2,3,5} Interlock Property framework, we study the stable configurations of two particles on the joint Sector Parameter Space and the geometric origin of the quarkonium spectrum. On the joint Sector Parameter Space, the ℳ Sector effective Spectral Gap is , the D...

10.13 Quantum Entanglement

The quantum entanglement theory is reconstructed within the Encoded Orbital pixel structure framework. The geometric definition of entanglement is established — two S-minima on Σ_η realize geometric maximal entanglement via ℐ-Sector freezing and ℳ-Sector antipodal locking. The Tw...

7.10 Strong CP Resolution

The standard formulation of the strong CP problem is: the -term in the QCD Lagrangian violates CP symmetry, yet the experimental bound is far smaller than the natural expectation . The standard solution (Peccei-Quinn mechanism) introduces the axion, but the axion has not been dis...

7.3 Fine-Structure Constant

This article proves that the Fine-Structure Constant is a coordinate reading on the Landscape of Conjugate Spectral Geometry. The Algebraic Action at the fixed point of the Observer Localization yields , with a deviation of approximately from the CODATA experimental value . is a...

10.11 Geometric Framework of Consciousness States

Geometric Framework of Consciousness States

5.7 Doeblin-Type Upper Bound for Information Field Cumulants

Based on (Graph-Theoretic Definition of Information Field Cumulants), this article constructs a **Doeblin-type coupling** on the graph , jointly exploiting Birkhoff mixing () and hard-direction Lyapunov contraction (), to rigorously prove the exponential decay upper bound for the...

7.12 Family Symmetry: From Working Hypothesis to θ_M Freezing Theorem

This paper closes the last core gap G2 of Conjugate Spectral Geometry. The anomalous magnetic moment article took as a working hypothesis (【Hypothesis 2.1】); this paper upgrades it to a **theorem**: (electron), (muon and τ share the same value). freezing is not an additional hy...

2.4 Observer Localization and Spectral Conditions

This article, based on the Shared Information Layer Theorem (§5 of 2.3, Theorem 2.3.5.01–Theorem 2.3.2.01) and the Conjugate Consummate Reproduction Theorem (§7 of 2.3, Theorem 2.3.7.01–Theorem 2.3.7.02), proves that the Birkhoff mixing matrix of our region is obtained from the d...

10.12 Biological Origin and Evolution

A rigorous geometric-theoretic definition of the Information Template is given: Information Template ≡ the steady-state configuration ρ_eq on the Sector Parameter Space Σ, which is the necessary equilibrium state of the Birkhoff Mixing Matrix metric on Σ. The birth of a biologica...

7.1 Clifford Origin of the Gauge Group

Starting from the sole axiom δ (Zero Motion) of Conjugate Spectral Geometry, this article derives the Clifford algebraic origin of the Standard Model gauge group . Gauge symmetry is not a fundamental input, but an emergent structure arising from the triality interactions of Cl(8)...