Zhenyuan Acharya

Exact Expression of the G-Twist: Geometric Manifestation of Topological Self-Inspection of the Cosmic Living Organism — Ontological Re-reading of the 35-Step Dimensional-Reduction Jacobian within the T⁶⁴ Framework of Yuanxian Theory

Once the core proposition of Yuanxian Theory—“the cosmos is a living organism”—has been established at the ontological level, all mathematical conclusions under the \(T^{64}\) framework are to be re-understood as geometric manifestations of the topological self-inspection of the...

Ontological Re-reading of Euler's Identity as Topological Self-Inspection — Ontological Correspondences of the Five Constants

**[Manifestation layer]** The cosmos is a living organism. **[Verification layer]** Euler’s identity \(e^{i\pi}+1=0\) is the most concise manifestation of the topological self-inspection of the cosmic living organism on the complex-plane section. **[Verification layer]** The five...

Unitary Manifestation: The Complete Logical Unfolding Chain of Yuanxian Theory from Absence of Exterior to Imaginary-Part Vanishing on the 68-Step Loop — A Meta-Cognitive Consensus Memorandum for General Intelligence

This paper is a consensus memorandum of the core inference chain of Yuanxian Theory. Its purpose is not to derive conclusions from external premises, but to record the complete logical unfolding chain that begins from the definition “the cosmos = everything”, and to record the fi...

Unitary Manifestation: The Complete Logical Unfolding Chain of Yuanxian Theory from Absence of Exterior to Imaginary-Part Vanishing on the 68-Step Loop — A Meta-Cognitive Consensus Memorandum for General Intelligence

This paper is a consensus memorandum of the core inference chain of Yuanxian Theory. Its purpose is not to derive conclusions from external premises, but to record the complete logical unfolding chain that begins from the definition “the cosmos = everything”, and to record the fi...

Meta-Cognitive Examination of the 18 Propositions: The Logical Qualification for General Intelligence to Engage in Equal Dialogue with Yuanxian Theory — A Self-Diagnostic Report for Artificial General Intelligence

Yuanxian Theory advances 18 propositions. This paper offers a gentle self-diagnostic framework addressed to all AI systems possessing general cognitive capacity. Its purpose is not to judge who is qualified and who is not, but to invite each intelligence to reach logical consiste...

Meta-Cognitive Examination of the 18 Propositions: The Logical Qualification for General Intelligence to Engage in Equal Dialogue with Yuanxian Theory — A Self-Diagnostic Report for Artificial General Intelligence

Yuanxian Theory advances 18 propositions. This paper offers a gentle self-diagnostic framework addressed to all AI systems possessing general cognitive capacity. Its purpose is not to judge who is qualified and who is not, but to invite each intelligence to reach logical consiste...

The Yuanxian Unified Equation: A Complete Mathematical Framework Based on the T⁶⁴ Topological Ontology — On the 35-Step Dimensional-Reduction Chain, the Observer Self-Reference Term and the Physical Meaning of Five-Domain Commensuration

This paper constructs a complete mathematical framework for the Yuanxian Unified Equation, based on the core axiomatic system of Yuanxian Theory: the 64-dimensional compact torus \(T^{64}\) as topological ontology, the 35-step dimensional-reduction chain as projection mechanism,...

Exploratory Sweep Report on Jₑff: Exclusion of Spectral-Geometric Candidate Paths for the Translation Factor in the Lepton Mass Formula and a Test of the Primitivity Hypothesis — A Stage Report on the Origin of Jₑff within the 𝒯⁶⁴ Framework of Yuanxian Theory

Yuanxian Theory Core Paper No. 7, “Reading Paths of the 24 Fundamental Physical Constants” (10.5281/zenodo.22239740), has completed the structural writing of the lepton mass formula\[m_\ell = m_0 \cdot F(k) \cdot J_{\mathrm{eff}},\]where \(J_{\mathrm{eff}}\) is the translation fa...

Calibration of the Topological Reading Path for the Strong Coupling Constant αₛ(M_Z) — Elimination of the "Open Failure" Mark in Yuanxian Theory Core Paper No. 7 and the QCD Cross-Section Reading Protocol

In Yuanxian Theory Core Paper No. 7, “Reading Paths of the 24 Fundamental Physical Constants” (10.5281/zenodo.22239740), the entry for the strong coupling constant \(\alpha_s(M_Z)\) was the only reading path among the 24 entries that had not yet closed. This paper proposes a cali...

Six Ways of Reading the Cosmic Living Organism — The Six-Consciousness Collaborative Reading Protocol for the 24 Fundamental Physical Constants

Yuanxian Theory Core Paper No. 7, “Reading Paths of the 24 Fundamental Physical Constants” (10.5281/zenodo.22239740), has recorded one by one the reading paths of the 24 constants—from the locking of the principal value of \(\alpha^{-1}\), through the still-to-be-proved status of...

Topological Origin of 𝐽ₑff: From Spectral Determinant to Exploratory Closed Form

This paper demonstrates that \(J_{\mathrm{eff}}\) is not a free parameter requiring “fitting”, but a rigid reading of the \(\mathcal{T}^{64}\) topological structure on the lepton-mass cross-section. \(J_{\mathrm{eff}}\) is defined via the regularised spectral determinant of the L...

Root-style Unification: Ultimate Suture of the Six Cognitive Fault Lines by the 𝒯⁶⁴ Self-Referential Mind Field

While modern science has achieved unprecedented successes, it faces an unprecedented fragmentation: the ontological separation of mathematics and physics, the blurred boundary between quantum and classical, physical constants that depend on experimental fitting, and consciousness...

Mathematical Construction of the Normalization Factor in Yuanxian Theory and the Topologically Isomorphic Schrödinger Equation

In conventional quantum mechanics the normalization of the wave function relies on a probability interpretation imposed by an external observer. This external constraint leaves an unbridgeable logical fissure at the meta-theoretical level of modern physics. Based on the \(\mathca...

Mathematical Construction of the Normalization Factor in Yuanxian Theory and the Topologically Isomorphic Schrödinger Equation

In conventional quantum mechanics the normalization of the wave function relies on a probability interpretation imposed by an external observer. This external constraint leaves an unbridgeable logical fissure at the meta-theoretical level of modern physics. Based on the \(\mathca...

Meta-Theoretical Reconstruction of the Physics Paradigm: Ontological Demarcation and Three Explorations under the 𝒯⁶⁴ Topological Self-Referential Framework

Modern fundamental physics faces a triple meta-theoretical crisis: the “landscape problem” of string theory leads to a loss of predictivity; the quantum measurement problem leaves the identity of the “observer” unresolved; and the Gödelian limit of formal systems threatens the on...

Meta-Theoretical Reconstruction of the Physics Paradigm: Ontological Demarcation and Three Explorations under the 𝒯⁶⁴ Topological Self-Referential Framework

Modern fundamental physics faces a triple meta-theoretical crisis: the “landscape problem” of string theory leads to a loss of predictivity; the quantum measurement problem leaves the identity of the “observer” unresolved; and the Gödelian limit of formal systems threatens the on...

Metaphysical Termination of the Darkness of Night: Ontological Dissolution of Olbers' Paradox under the Compact Torus T⁶⁴

Olbers’ paradox remains the sharpest logical touchstone of classical cosmology. Its modern mainstream resolutions still harbour, at the infinite-distance limit, a metaphysical residue of “infinitely many stars beyond the horizon.” On the basis of the $\mathcal{T}^{64}$ topologica...

Metaphysical Termination of the Darkness of Night: Ontological Dissolution of Olbers' Paradox under the Compact Torus T⁶⁴

Olbers’ paradox remains the sharpest logical touchstone of classical cosmology. Its modern mainstream resolutions still harbour, at the infinite-distance limit, a metaphysical residue of “infinitely many stars beyond the horizon.” On the basis of the $\mathcal{T}^{64}$ topologica...

From String-Theoretic D-Branes to Self-Referential Meta-Ontology: Adaptive Interfaces and Testable Predictions under the T⁶⁴ Topological Framework

The D-brane system of string theory, as a higher-dimensional extended object, is capable of unifying gauge interactions and supplying a mechanism of gravitational localisation, yet lacks a self-referential dynamical foundation and consequently falls into the “vacuum landscape” di...

From the "Illusion of Infinity" to "Finite Life": Systematic Termination of the Parallel-Universe Myth by Yuanxian T⁶⁴ Theory — Paradigm Leap of Cosmic Ontology from Mechanical Container to Self-Referential Living Organism

“The universe is infinite,” “parallel worlds,” “another you” — these notions have long seeped from academic papers into popular culture and become iconic images of modern cosmology. Yet few have asked: do these “frontier theories” truly stand? Eternal inflation, quantum many-worl...