guobin ouyang

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...

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...

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...

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...

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)...

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...

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...

8.3 Falsification of Dark Energy

This article proves that the accelerating expansion of the universe is explained by the ℐ-sector diffusion effect, and the cosmological constant . In Conjugate Spectral Geometry, dark energy does not exist — the accelerating expansion observed from Type Ia supernovae is a natural...

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...

8.16 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,...

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...

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...

10.16 θ-Coherent Radiator

Based on the Sole Axiom δ of Conjugate Spectral Geometry, we propose the θ-Coherent Radiation (TCR) mechanism — by controllably manipulating the ℳ𝒞ℐ three-sector angular configuration, energy is radiated as photons along the M-C waist-edge coupling channel, bypassing electron tra...

10.11 Geometric Framework of Consciousness States

Geometric Framework of Consciousness States

3.6 Photon Zero-Mass Theorem

This article proves that the photon mass is strictly zero—— is an algebraic necessity of the Coding Orbit, without introducing gauge symmetry as a postulate. The photon corresponds to the dominant Eigenvalue of the ℳ sector self-coupling and does not participate in the breathing...

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;...

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 —...

0.8 Spectral Action Decomposition Theorem: Seeley-deWitt Expansion and Three-Sector Numerical Verification

This article carries out the explicit computation planned in 0.7 §2: starting from the Spectral Triple constructed from Cl(8), we perform an 8-dimensional heat kernel expansion of the spectral action , compute the Seeley-deWitt coefficients through term by term, and map each coef...

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...