guobin ouyang

7.16 Geometric Framework for the Quark Mass Spectrum

This article establishes a geometric framework for the quark mass spectrum. The quark sector differs fundamentally from the lepton sector — confinement implies that quarks are not asymptotic states, color constraints render the hierarchy formula inapplicable, and there is no fram...

10.11 Geometric Framework of Consciousness States

Geometric Framework of Consciousness States

3.11 Higgs Breathing Mode

In the intrinsic geometry of the ℳ𝒞ℐ three-sector Parameter Space, the Higgs scalar field is identified as the relative linear fluctuation of the square root of the determinant of the second-order structure at the Birkhoff Fixed Point σ* — i.e., the "breathing mode" of the parame...

8.16 Cosmic Cycle Scaling

We independently derive the time scale system of the material world, clarifying the three levels of geometric theory — total universe, region, and three worlds. Core achievements: the scaling period is a theorem-grade formula; the small cycle ten-thousand years, the mid cycle hun...

8.11 Galactic Structure

This paper generalizes the shell quantization of 8.10 to the galactic scale. Based on the interlock constants , , the galactic joint cross-section characteristic scale is rigorously derived as . The shell power exponent is directly locked by the interlock constants; the geometric...

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...

9.2 Nuclear Fusion Resonance

This article derives the geometric resonance condition for nuclear fusion from the many-body cross section theorem (Theorem 3.7.3.01). The resonance enhancement of fusion reactions is determined by local minima of the Jacobian spectral radius of — homologous to the nuclear magic...

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...

8.13 Fractal Hierarchical Universe

This paper extrapolates the structural constants at the atomic scale to statistically correlated hierarchies at the cosmological scale. Based on the ℳ𝒞ℐ three-sector structure and the seven-level recurrence, we derive: the fractal dimension holds universally for any scale factor;...

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)...

8.16 Cosmic Cycle Scaling

We independently derive the time scale system of the material world, clarifying the three levels of geometric theory — total universe, region, and three worlds. Core achievements: the scaling period is a theorem-grade formula; the small cycle ten-thousand years, the mid cycle hun...

0.2 The Algebraization of δ: Clifford Algebra

This article algebraizes δ from in **our region**. The iteration of δ produces candidate parameters along the Coding Orbit; the Interlock Property of (proposition proved) causes them to satisfy the completeness condition (Berry phase closure, theorem proved); after consummation,...

6.1 Topological Survey of Three-Field Coupling

This article surveys the topological structure of the ℳ𝒞ℐ three-sector joint coupling. The three-field coupling is realized through three permutation components of the Birkhoff mixing matrix : identity (ℳ self-coupling), 3-cycle (ℳ-𝒞-ℐ waist-edge), and inverse 3-cycle (ℳ-ℐ-𝒞 reve...

8.16 Cosmic Cycle Scaling

We independently derive the time scale system of the material world, clarifying the three levels of geometric theory — total universe, region, and three worlds. Core achievements: the scaling period is a theorem-grade formula; the small cycle ten-thousand years, the mid cycle hun...

6.3 Constraint Release Effect

This article analyzes the relaxation effect of Completeness constraints—Constraint Release. When certain constraints of the three-field coupling are relaxed (e.g., the high-temperature limit), spectral interlock is partially lifted, allowing more parametric degrees of freedom. Th...

1.1 Multiplier Sequence and Coding Orbit

Starting from the three Structure Constant Theorems (, , ) and the prime factor budget, this paper derives the multiplier sequence on the Coding Orbit. The multiplier sequence is uniquely determined by the Budget-Genotype double-layer structure and Benign Mutual Conjugate Locking...

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...

8.5 Early Universe and Nucleosynthesis

This article derives the geometric constraints on primordial nucleosynthesis (BBN) in Conjugate Spectral Geometry. Light element abundances (He, D, He, Li) are derived from the three-field steady state , with the CMB temperature and fundamental physical constants (, , , , ) as ex...

7.6 Spectral Unification of Coupling Constants

This paper proves that the running indices of the four coupling constants — electromagnetic, weak, strong, and gravitational — are uniformly determined by the Jacobian eigenspectrum of the Birkhoff Mixing Matrix . The eigenvalues of the Hessian matrix of the Algebraic Action at t...

8.8 Mercury Perihelion Precession

This paper derives the Mercury perihelion precession from the electron ground-state vacuum perspective. The relative gradient is defined as the intrinsic driving force of geometric gravity, and is a purely geometric constant. The precession coefficient is an algebraic identity —...