TUM : CROSS-SCALE DUALITY BETWEEN MACROSCOPIC CLIFFORD GEOMETRY AND NON-HERMITIAN SPECTRAL OPERATORS - Zero Free Parameters Framework - Authoritative Version v1.1

We present a rigorous unified framework bridging macroscopic space-time geometry and microscopic spectral dynamics, eliminating arbitrary free parameters. By mapping the Cl(8,0) macroscopic metric constraint (sin2+cos2=1) from the Time-Unity Theory (TUM) to a non-Hermitian information-geometric framework, we demonstrate that information flow acts as the exact spectral shadow of macroscopic Clifford space. Crucially, we prove that Non-Hermitian Exceptional Points (EPs) emerge natively at the critical threshold sin2=cos2=0.5, where the self-measurement Jacobian becomes non-diagonalizable. Master Action: S_TUM[Ψ] = ∫ d4x √-g [L_geom + L_int] Gamma_eq = 0.8470 Omega_Lambda = 0.6803 derived from Cl(8,0) This establishes a formal mathematical duality: Geometry (TUM) ↔ Information (SCCI).

Authors

Institutions

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-26
DOI
https://doi.org/10.5281/zenodo.22105333
Primary Topic
Quantum Mechanics and Non-Hermitian Physics
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

TUM : CROSS-SCALE DUALITY BETWEEN MACROSCOPIC CLIFFORD GEOMETRY AND NON-HERMITIAN SPECTRAL OPERATORS - Zero Free Parameters Framework - Authoritative Version v1.1

Mohamed Nour kayad, Sebastián Berón
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Non-Hermitian Physics
preprint

TUM : CROSS-SCALE DUALITY BETWEEN MACROSCOPIC CLIFFORD GEOMETRY AND NON-HERMITIAN SPECTRAL OPERATORS - Zero Free Parameters Framework - Authoritative Version v1.1

Mohamed Nour kayad, Sebastián Berón
preprint en

Abstract

We present a rigorous unified framework bridging macroscopic space-time geometry and microscopic spectral dynamics, eliminating arbitrary free parameters. By mapping the Cl(8,0) macroscopic metric constraint (sin2+cos2=1) from the Time-Unity Theory (TUM) to a non-Hermitian information-geometric framework, we demonstrate that information flow acts as the exact spectral shadow of macroscopic Clifford space. Crucially, we prove that Non-Hermitian Exceptional Points (EPs) emerge natively at the critical threshold sin2=cos2=0.5, where the self-measurement Jacobian becomes non-diagonalizable. Master Action: S_TUM[Ψ] = ∫ d4x √-g [L_geom + L_int] Gamma_eq = 0.8470 Omega_Lambda = 0.6803 derived from Cl(8,0) This establishes a formal mathematical duality: Geometry (TUM) ↔ Information (SCCI).

Zenodo (CERN European Organization for Nuclear Research)
North American Menopause Society (US)
Quantum Mechanics and Non-Hermitian Physics
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

TUM : CROSS-SCALE DUALITY BETWEEN MACROSCOPIC CLIFFORD GEOMETRY AND NON-HERMITIAN SPECTRAL OPERATORS - Zero Free Parameters Framework - Authoritative Version v1.1 — Mohamed Nour kayad, Sebastián Berón · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS