Consciousness Research under the Four Axioms of YuanXian Theory: A Comprehensive Framework from Ontology to Computable Models

Consciousness is redefined as a topological excitation of a Self-Referential Mind Field on a 64-dimensional torus (T^{64}), governed by four axioms: Conservation of the Universal Factor, Unique Spacetime Manifold, Self-Referential Mind Field Generation, and True Circle Self-Consistency (TCSC). The framework treats consciousness not as a byproduct of matter or information but as an intrinsic property of cosmic self-referential dynamics. Mathematical modeling constructs a Hilbert space for conscious states and derives its energy levels. The TCSC axiom is formally verified using Lean 4 as both necessary and sufficient for consciousness emergence. Empirical predictions link EEG/MEG signals to Cosmic Microwave Background anomalies for cross-scale testing. The approach aims to resolve the mind-matter dichotomy and provide a path from philosophy to engineering.

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Abstract

Consciousness research has long been trapped in the "Explanatory Gap" and the "Hard Problem," where traditional dualism and reductionism have failed to address its essence. This paper constructs a unified framework for consciousness research based on the four core axioms of YuanXian Theory: Conservation of the Universal Factor, Unique Spacetime Manifold (T^{64}), Self-Referential Mind Field Generation, and True Circle Self-Consistency (TCSC). We redefine consciousness C as a topological excitation of the Self-Referential Mind Field on the T^{64} torus. The core arguments include: • Ontological Reconstruction: Consciousness is not an epiphenomenon of matter or information, but an intrinsic property of cosmic self-referential dynamics. • Mathematical Modeling: Construction of the Hilbert space H_{C} for conscious states based on the YD-T^{64} framework and derivation of its energy level structure. • Computability: Formal verification of the necessary and sufficient conditions for consciousness emergence (TCSC axiom) using Lean 4. • Empirical Predictions: Proposal of a cross-scale verification scheme based on the correlation between EEG/MEG signals and Cosmic Microwave Background (CMB) anomalies. This study breaks the mind-matter dichotomy and provides a complete pathway for consciousness research from philosophy to engineering implementation. 意识研究长期陷入“解释鸿沟”与“困难问题”的泥沼,传统二元论与还原论均未能触及意识的本质。本文基于元宪理论 (YuanXian Theory) 的四大公理体系——宇宙因素守恒、时空唯一性 (T^{64})、自指心场生成与真圆自洽性 (TCSC)——构建了一个统一的意识研究框架。 我们将意识重新定义为 T^{64} 环面上自指心场的拓扑激发态。核心论点包括: • 本体论重构:意识并非物质或信息的副现象,而是宇宙自指动力学的内禀属性。 • 数学建模:基于 YD-T^{64} 框架构建意识态的希尔伯特空间 H_{C} 并推导其能级结构。 • 可计算性:利用 Lean 4 形式化验证意识产生的必要充分条件(TCSC 公理)。 • 实证预测:提出基于脑电/磁信号 (EEG/MEG) 与宇宙微波背景 (CMB) 异常关联的跨尺度验证方案。 本研究打破了心物二元对立,为意识研究提供了从哲学到工程实现的完整路径。