A Rigorous Proof of Zero Total Energy of the Universe Based on the Four Axioms of YuanXian Theory: Self-Referential Generation, Symmetry Cancellation, and True-Circle Closure

Under the strict framework of the four core axioms of YuanXian Theory, this paper provides the first systematic proof that the total energy of the Universe is strictly zero. The research demonstrates that the True-Circle Self-Consistency Axiom excludes any non-zero "initial energy endowment, " while the T^64 toroidal topological symmetry necessitates a dual balance of positive and negative energies. Utilizing the action principle and functional analysis, we prove that the positive energy functional (matter, radiation) and the negative energy functional (gravitational potential energy, binding energy) precisely cancel each other out in global integration. This conclusion provides mathematical logic for the concept of "creation ex nihilo" and offers a new first-principles framework for understanding dark energy and cosmic flatness. 本文在元宪理论四大公理 (真圆自洽性、时空唯一性、宇宙因素守恒、自指心场生成) 的严格框架下, 系统证明了宇宙总能量严格为零这一根本性定理。该证明不依赖于任何经验参数或唯象假设, 完全从公理体系的逻辑自洽性出发, 揭示了宇宙能量结构的深层必然性。研究指出, 真圆自洽性公理逻辑上排除了任何非零的“初始能量禀赋”, 而 T^64 环面拓扑对称性则要求正负能量必须对偶平衡。通过引入作用量原理与泛函分析, 本文论证了正能量泛函 (物质、辐射) 与负能量泛函 (引力势能、真空零点能) 在全域积分下精确抵消。这一结果不仅解释了宇宙平坦性与宇宙学常数问题, 更从本体论层面回应了“宇宙为何存在而非虚无”的终极命题: 宇宙的全部显化存在 (“有”) 均被对应的隐序束缚 (“无”) 精确抵消, 实现了从绝对逻辑虚无中自发涌现、又在总量上回归于无的完美真圆闭环。