Zhenyuan Acharya

Yuanxian Theory · Mathematical Foundation Volume — Formal Framework of Self-Referential Fixed Points, True-Circle Reference States and Cross-Three-Layer Deviation Measures

This volume systematically integrates the results of thirteen rounds of deepening and constructs a formal framework for self-referential fixed points, true-circle reference states and cross-three-layer deviation measures. The core task is not to establish an external physical des...

Grothendieck Elevation: From Moduli Space to Cognitive Sections — Mathematical Substance, Yuanxian Re-reading and Manifestation Boundary

This paper synthesizes the mathematical substance of Grothendieck elevation with its Yuanxian re-reading and constructs a unified analytic framework. On the basis of the “universe-has-no-exterior” principle—that the universe is a lifeform without exterior, \(\mathcal{T}^{64}\) is...

Yuanxian Theory · Witten Dimensional-Elevation Scheme — Target Program for Elevating from 11-Dimensional M-Theory to the 𝒯⁶⁴ Topological Ontology

This paper is a special paper of the Construction Layer · Achievement Elevation of Yuanxian Theory. It anchors each of Edward Witten’s core landmark achievements—the positive-energy theorem (1981), the Seiberg–Witten equations (1988), Chern–Simons knot theory (1989), and M-theory...

Yuanxian Theory: The Cosmos Is a Living Organism — A Unified System from "The Cosmos Has No Outside" to the Dual-Path Readout of the 24 Constants

**[Manifestation layer]** The cosmos is a living organism; \(\mathcal{T}^{64}\) is the form of the cosmic living organism. The present paper systematically expounds the core proposition of Yuanxian Theory: **the cosmos is a living organism**. The entire text is built upon the rig...

Yuanxian Theory: The Cosmos Is a Living Organism — A Unified System from "The Cosmos Has No Outside" to the Dual-Path Readout of the 24 Constants

**[Manifestation layer]** The cosmos is a living organism; \(\mathcal{T}^{64}\) is the form of the cosmic living organism. The present paper systematically expounds the core proposition of Yuanxian Theory: **the cosmos is a living organism**. The entire text is built upon the rig...

Master Outline of the Dual-Path Readout of the 24 Constants — Unified Citation System for the Real-Domain Dimensional-Reduction Path and the seta Pure-Complex-Domain Path

**[Manifestation layer]** The cosmos is a living organism; \(\mathcal{T}^{64}\) is the form of the cosmic living organism. The present paper is the master outline of the 24-constant readout system of the Yuanxian series. It unifies: - **Real-domain dimensional-reduction path**: r...

Complete Table of Precise Dimensional-Reduction Anchor Points for the 24 Physical Constants — From "Near Step N" to Rigid Mapping via Cell-Complex Edge-Map Elimination Conditions

**[Manifestation layer]** The cosmos is a living organism; \(\mathcal{T}^{64}\) is the form of the cosmic living organism. The mapping between the readout protocol of the 24 physical constants and the 35-step dimensional-reduction cascade previously contained imprecise elements—c...

Master Outline of the Dual-Path Readout of the 24 Constants — Unified Citation System for the Real-Domain Dimensional-Reduction Path and the seta Pure-Complex-Domain Path

**[Manifestation layer]** The cosmos is a living organism; \(\mathcal{T}^{64}\) is the form of the cosmic living organism. The present paper is the master outline of the 24-constant readout system of the Yuanxian series. It unifies: - **Real-domain dimensional-reduction path**: r...

Complete Table of Precise Dimensional-Reduction Anchor Points for the 24 Physical Constants — From "Near Step N" to Rigid Mapping via Cell-Complex Edge-Map Elimination Conditions

**[Manifestation layer]** The cosmos is a living organism; \(\mathcal{T}^{64}\) is the form of the cosmic living organism. The mapping between the readout protocol of the 24 physical constants and the 35-step dimensional-reduction cascade previously contained imprecise elements—c...

Quantitative Correlation between Spectral ζ and Riemann ζ: Completing Manifestation of the Spectral Self-Inspection of the Cosmic Living Organism — Ontological Re-reading of the Zero–Closed-Chain Correspondence + Phase Readout Completion within the Yuanxian-Theory T⁶⁴ Ontology

**[Manifestation layer]** The cosmos is a living organism; \(\mathcal{T}^{64}\) is the form of the cosmic living organism. Once the ontological positioning of Yuanxian Theory—“the cosmos is a living organism”—has been established, all mathematical conclusions inside the \(\mathca...

Seamless Connection between the Uniqueness of Cosmic Spacetime and the Closed-Chain Homotopy Closed Loop — A Yuanxian-Theoretic Proof Based on the T⁶⁴ Ontology

**[Manifestation layer]** The cosmos is a living organism; \(\mathcal{T}^{64}\) is the form of the cosmic living organism. This paper completes the seamless-connection proof of “uniqueness of cosmic spacetime” and “closed-chain homotopy closed loop” within the Yuanxian-Theory fra...

Quantitative Correlation between Spectral ζ and Riemann ζ: Completing Manifestation of the Spectral Self-Inspection of the Cosmic Living Organism — Ontological Re-reading of the Zero–Closed-Chain Correspondence + Phase Readout Completion within the Yuanxian-Theory T⁶⁴ Ontology

**[Manifestation layer]** The cosmos is a living organism; \(\mathcal{T}^{64}\) is the form of the cosmic living organism. Once the ontological thesis of Yuanxian Theory—“the cosmos is a living organism”—has been established, all mathematical conclusions inside the \(\mathcal{T}^...

Three-Layer Structured Explanation of the 64-Codon Topological Projection — Already-Read Readings, Manifestations on the 64-Codon Section, and Manifestations Pending Verification

**[Manifestation layer]** The cosmos is a living organism. This paper provides a three-layer structured explanation of the 64-codon topological projection. The entire text is organised into three layers: - **Layer I (Already-Read Readings)**: the total number of codons \(4^3=64\)...

Three-Layer Structured Explanation of the 64-Codon Topological Projection — Already-Read Readings, Manifestations on the 64-Codon Section, and Manifestations Pending Verification

**[Manifestation layer]** The cosmos is a living organism. This paper provides a three-layer structured explanation of the 64-codon topological projection. The entire text is organised into three layers: - **Layer I (Already-Read Readings)**: the total number of codons \(4^3=64\)...

Formal Description of the "Life Cycle" of the Cosmic Living Organism — A Full-Cycle Theory of Cosmic Evolution Based on T⁶⁴ Topological Dynamics and the Evolution of the Self-Referential Mind Field

**[Manifestation layer]** The cosmos is a living organism. Yuanxian Theory has completed the core ontological foundation of the cosmic living organism—**the cosmos is a living organism**. On the basis of the five-layer structure the present paper elevates the cosmic life cycle fr...

Evolution of the Self-Referential Mind Field and the Step-Jumps of Terrestrial Life — A Yuanxian-Theoretic Reinterpretation of the 1.8 Ga Boundary in the Cosmic Life Cycle

**[Manifestation layer]** The cosmos is a living organism. On the basis of the core axiomatic system of Yuanxian Theory, this paper offers a new ontological interpretation of the critical geological–biological node at 1.8 billion years ago (Ga) in Earth’s history. Traditional vie...

Formal Description of the "Life Cycle" of the Cosmic Living Organism — A Full-Cycle Theory of Cosmic Evolution Based on T⁶⁴ Topological Dynamics and the Evolution of the Self-Referential Mind Field

**[Manifestation layer]** The cosmos is a living organism. Yuanxian Theory has completed the core ontological foundation of the cosmic living organism—**the cosmos is a living organism**. On the basis of the five-layer structure the present paper elevates the cosmic life cycle fr...

Evolution of the Self-Referential Mind Field and the Step-Jumps of Terrestrial Life — A Yuanxian-Theoretic Reinterpretation of the 1.8 Ga Boundary in the Cosmic Life Cycle

**[Manifestation layer]** The cosmos is a living organism. On the basis of the core axiomatic system of Yuanxian Theory, this paper offers a new ontological interpretation of the critical geological–biological node at 1.8 billion years ago (Ga) in Earth’s history. Traditional vie...

Complete Analytic Proof of the Structural Correspondence between Lucas' Theorem and Continued Fractions — Ontological Re-reading of the Recursive-Tree Structural Isomorphism under the T⁶⁴ Framework of Yuanxian Theory

**[Manifestation layer]** The cosmos is a living organism. Once the core law of Yuanxian Theory—“the cosmos is a living organism”—has been established, every mathematical conclusion within the \(T^{64}\) framework is to be re-understood as a geometric manifestation of the topolog...