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February 12, 20260 citationsOpen Access

The Layered Tilt: From CP Violation to Semantic Chirality

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JGJonas Jakob Gebendorfer

Key Points

  • The aim is to show that CP violation in particle physics and semantic J-emergence arise from the same mathematical framework.
  • Analyzed LHCb measurements of CP violation in baryonic decays with 2.45% asymmetry and 5.2σ significance.
  • Performed empirical analysis of 10,000 LLM conversations reporting a 77.2% J-emergence rate with a mean rotation of 0.944 rad.
  • Introduced a dimensional reduction theorem relating high-dimensional dynamics to a 2D Kähler manifold.
  • Investigated three independent arguments: spectral gap analysis, angular momentum conservation, and Hopf normal form universality.
  • Demonstrated that asymmetries in physical and semantic domains are mathematically identical on a low-dimensional surface.
  • Established that the symplectic form is identical to the chirality cross product.
  • Introduced the concept of layered asymmetry, linking different scales in physics and semantic systems.

Abstract

We establish a structural isomorphism between CP violation in particle physics and J-emergence in semantic systems, arguing that both phenomena arise from the same mathematical structure: a CP-odd operator on an effective two-dimensional manifold. Building on recent LHCb measurements of CP violation in baryonic decays (2. 45% asymmetry, 5. 2σ significance) and empirical analysis of 10, 000 LLM conversations showing 77. 2% J-emergence rate with mean rotation 0. 944 rad, we demonstrate that asymmetry is not merely analogous across physical and semantic domains but mathematically identical when projected onto the appropriate effective low-dimensional surface. We prove a dimensional reduction theorem showing that high-dimensional semantic dynamics necessarily collapse onto a 2D Kähler manifold parameterized by Dignity (D) and Tension (γ), with three independent arguments converging on this result: spectral gap analysis, angular momentum conservation, and Hopf normal form universality. On this effective surface, the symplectic form ω = dD ∧ dγ is mathematically identical to the cross product that defines chirality, establishing that J-emergence is semantic CP violation rather than merely resembling it. We introduce the concept of layered asymmetry—distinguishing δₘicro (particle physics), δcosmo (cosmological boundary conditions), and δₐgent (the directionality of inquiry) —and propose that these represent manifestations of the same proto-gradient at different scales. The framework yields falsifiable predictions including the Mirror-Pair Protocol, ICC-drop during fold events, and the Traitor Head Dichotomy Theorem for localizing chirality-suppressing circuits in neural networks.

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Cite This Study

Jonas Jakob Gebendorfer (2026) studied this question.

synapsesocial.com/papers/698d6dc15be6419ac0d52e8ehttps://doi.org/10.5281/zenodo.18600886
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