guobin ouyang

From a Single Axiom to Four-Dimensional Spacetime: A Readout Mechanism for Discrete Ontology

This work establishes a discrete ontological framework whose sole starting point is a single axiom: *zero never stays still*. No manifold, metric, probability, or action is introduced. Words, graphs, divergence identities, zero-sum conservation, and integer multiplicities are all...

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...

5.1 Information Field Attenuation Theorem

This article proves the attenuation theorem for the Information Sector ℐ. The information field attenuation rate is determined by the algebraic connectivity and the number of information nodes : . The attenuation theorem is the mathematical expression of the "forgetting" mechanis...

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...

8.11 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...

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...

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...

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...

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...

10.11 Geometric Framework of Consciousness States

Geometric Framework of Consciousness States

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...

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...

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...

6.1 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...

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...

10.18 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...

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...

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)...

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...

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...