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May 10, 20260 citationsOpen Access

Isomorphism Between PFUS and Kähler–Einstein Metric and Proof of Steady-State Unity

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ZWZhenmin Wang

Key Points

  • The aim is to establish a rigorous isomorphism between the PFUS and the Kähler–Einstein metric, proving their equivalence in high-dimensional geometry.
  • Developed a geometric proof based on the 45° coaxial double-cone frustum geometry of PFUS.
  • Demonstrated satisfaction of core axioms including the Kähler condition and the Einstein equation.
  • Established a one-to-one correspondence between PFUS and the Kähler–Einstein metric.
  • Proved that PFUS uniquely embodies the Kähler–Einstein metric, with no logical gaps or free parameters.
  • Confirmed that PFUS achieves global distortion-free equilibrium in high-dimensional spacetime.
  • Provided a unified explanation for structural stability and unification of gravity and quantum theory.

Abstract

Based on the Pythagorean Frustum Unified System (PFUS), this paper rigorously proves that the 45° coaxial double-cone frustum geometry of PFUS admits a rigid, global, and contradiction-free structural isomorphism with the Kähler–Einstein metric, a cornerstone of modern high-dimensional geometry. Starting from primitive geometry, this paper proves that the intrinsic metric of PFUS naturally satisfies all core axioms including the Kähler condition, the Einstein equation, proportionality between Ricci curvature and the metric, and global distortion-free equilibrium. This paper establishes a complete one-to-one correspondence between PFUS and the Kähler–Einstein metric, proving that PFUS constitutes the unique primitive ontological realization of the Kähler–Einstein metric in the universe. It provides a unified and closed primordial explanation for high-dimensional spacetime equilibrium, structural stability, string compactification, and the unification of gravity and quantum theory. No external assumptions, free parameters, or logical gaps are introduced; the work is complete, rigorous, and fully self-consistent.

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Cite This Study

Zhenmin Wang (2026) studied this question.

synapsesocial.com/papers/6a0021fec8f74e3340f9cf06https://doi.org/10.5281/zenodo.20080742
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