The Unified Holographic Master Action: Resolving Microscopic Unitarity, Quantum Chaos, and Emergent Spacetime in ππ4/πΆπΉπ3 via Non-Hermitian ππΜ -Flows
Year: 2026
Type: preprint
Abstract: The Unified Holographic Master Action Resolving Microscopic Unitarity, Quantum Chaos, and Emergent Spacetime in ππ4/πΆπΉπ3 via Non-Hermitian ππΜ
-Flows Dr. Theodor HeutschiIndependent Researcher, Lucerne, SwitzerlandDate: November 2026 AbstractA fundamental challenge in extending holographic principles to realistic de Sitter cosmologies (dSβ, Ξ > 0) is maintaining microscopic unitarity during the analytical continuation Ξ» β¦ -iπππ of T TΜ-deformed boundary field theories, which yields a non-Hermitian Hamiltonian. In this paper, we analyze this problem within pseudo-Hermitian quantum mechanics, proving that the de Sitter Hamiltonian obeys a pseudo-PT symmetry, (PT) H (PT)β»ΒΉ = Hβ . We formulate precise conditions for unitarity: (C1) a positive-definite metric operator Ξ· = πβπ; (C2) absence of exceptional points (EPβ); and (C3) temporal consistency. We verify hypothesis (C1) by explicitly constructing Ξ· in a solvable T TΜ-deformed scalar oscillator. To operationalize (C2), we introduce a higher-order kinetic framework combining NLS smoothing with Jerk (dΒ³K/dtΒ³) and Snap (dβ΄K/dtβ΄ = 0) analyses. This pinpoints the operative Tipping Point at t_jerk = 3.033 ms, providing a universal dimensionless lead-time ratio π₯π‘π πππππ’πππ = (3/5)π‘πΈπ2 (+1.967 ms lead time) before eigenvector collapse. Furthermore, we construct the Unified Holographic Master Action (Section 4.1), unifying pseudo-Hermitian unitarity, quantum extremal surfaces, and emergent Einsteinian dynamics. This work provides a mathematically and numerically complete solution to all core open problems (O1, O2, O3).
Author: Heutschi, Theodor
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225458254