guobin ouyang

11.11 Trial and Error, Accumulation and Lock-in: An Evolutionary Picture of Regional Properties

This article re-examines the deep logic of the Conjugate Spectral Geometry framework from an evolutionary epistemological perspective. The core thesis is: the structures and constants observed in our region today are not "necessarily deduced" from a few axioms, but rather because...

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...

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...

9.6 Anomalous Magnetic Moment

Anomalous Magnetic Moment

10.15 Material Realm Contraction Time

We establish sublayer spectral analysis, three-dimensional volume traversal scaling, and holographic reconstruction construction, deriving the material realm contraction time, the cosmic radius, and the purely geometric spatial measure. Core results: cosmic radius billion light-y...

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...

5.4 Observation Mapping Chain of the Information Field

This article establishes the mapping chain from the information field to the observer. The observer acquires physical information through the spectral resolution of the information field. The mapping chain proceeds from the coding weights , through the Born Rule, Algebraic Normal...

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...