Spectral Selection Rule F: Screening Viable Universe Models Based on a Multi-Level Algebraic-Holographic Framework

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Autores principales: zhou, changzheng, zhou, ziqing
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Publicado: Zenodo 2026
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author zhou, changzheng
zhou, ziqing
author_facet zhou, changzheng
zhou, ziqing
contents <p>The fundamental dilemma of quantum gravity theory lies in the exponentially<br>vast model space; traditional parameter fine-tuning methods lose their predictive<br>power in the face of a string-theoretic landscape with up to 10500 vacua. This<br>paper proposes a new paradigm for screening viable universes based on a multi<br>level algebraic-holographic framework, elevating the selection criterion from fine<br>tuning in a continuous parameter space to the determination of discrete topologi<br>cal types of operator algebras. We introduce four independent spectral invariants<br>Z, Y, T, and C, corresponding respectively to the boundary self-consistency of<br>the low-energy observable universe, the bulk stability of higher-dimensional space<br>time structure, the universality of topological quantum order, and the realizability<br>of quantum computational complexity. By constructing a core triad of quantum<br>spacetime– operator algebra– holographic entropy, supplemented by two extended<br>triads, topology-entanglement-symmetry and complexity-geometry-chaos, a com<br>plete mapping from algebraic structure to physical observables is established. We<br>propose a six-level cascade filtering procedure, which successively applies algebraic<br>structural constraints, Z-constraints, Y-constraints, T-constraints, C-constraints,<br>and the composite holographic correlation constraint. This framework provides<br>quantum gravity with a verifiable mathematical mechanism, allowing the screen<br>ing of viable universe candidates to be freed from parameter accidents and secured<br>by algebraic rigidity.</p>
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publisher Zenodo
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spellingShingle Spectral Selection Rule F: Screening Viable Universe Models Based on a Multi-Level Algebraic-Holographic Framework
zhou, changzheng
zhou, ziqing
quantum gravity; holographic principle; topological order; quantum chaos; spectral invariants; model selection
<p>The fundamental dilemma of quantum gravity theory lies in the exponentially<br>vast model space; traditional parameter fine-tuning methods lose their predictive<br>power in the face of a string-theoretic landscape with up to 10500 vacua. This<br>paper proposes a new paradigm for screening viable universes based on a multi<br>level algebraic-holographic framework, elevating the selection criterion from fine<br>tuning in a continuous parameter space to the determination of discrete topologi<br>cal types of operator algebras. We introduce four independent spectral invariants<br>Z, Y, T, and C, corresponding respectively to the boundary self-consistency of<br>the low-energy observable universe, the bulk stability of higher-dimensional space<br>time structure, the universality of topological quantum order, and the realizability<br>of quantum computational complexity. By constructing a core triad of quantum<br>spacetime– operator algebra– holographic entropy, supplemented by two extended<br>triads, topology-entanglement-symmetry and complexity-geometry-chaos, a com<br>plete mapping from algebraic structure to physical observables is established. We<br>propose a six-level cascade filtering procedure, which successively applies algebraic<br>structural constraints, Z-constraints, Y-constraints, T-constraints, C-constraints,<br>and the composite holographic correlation constraint. This framework provides<br>quantum gravity with a verifiable mathematical mechanism, allowing the screen<br>ing of viable universe candidates to be freed from parameter accidents and secured<br>by algebraic rigidity.</p>
title Spectral Selection Rule F: Screening Viable Universe Models Based on a Multi-Level Algebraic-Holographic Framework
topic quantum gravity; holographic principle; topological order; quantum chaos; spectral invariants; model selection
url https://doi.org/10.5281/zenodo.20091948