guobin ouyang

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...

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...

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...

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...

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...

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...

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...

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...