NON-PERTURBATIVE QUANTIZATION OF MULTIVERSAL INVARIANTS VIA THE EXCEPTIONAL SPECTRAL RESIDUES OF HIGHER-WEIGHT MOCK-AUTOMORPHIC L-FUNCTIONS AND ARITHMETIC ERGODICITY

Mathematical Applications of Science Fiction We present a rigorous derivation of the non-perturbative quantization of topological invariants associated with the moduli space of Calabi–Yau threefolds, referred to as the Multiversal Manifold. By lifting the automorphic constraints to the space of higher-weight harmonic Maass forms, we construct a generalized mock-automorphic L-function. We show that the exceptional spectral residues of this function along the critical line encode the discrete energy spectra of trans-temporal vacuum states. Furthermore, we prove an Arithmetic Ergodicity Theorem for the coefficients of these mock forms under the action of the Hecke algebra, establishing a Quantum Unique Ergodicity result for the associated shadow operator. This framework resolves the holomorphic anomaly within background-independent string field theory and provides a canonical isomorphism between the cohomology of the temporal sheaf and the kernel of the shadow operator.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-12-30
DOI
https://doi.org/10.5281/zenodo.18098574
Primary Topic
Geometry and complex manifolds
Type
article
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article

NON-PERTURBATIVE QUANTIZATION OF MULTIVERSAL INVARIANTS VIA THE EXCEPTIONAL SPECTRAL RESIDUES OF HIGHER-WEIGHT MOCK-AUTOMORPHIC L-FUNCTIONS AND ARITHMETIC ERGODICITY

Zen Revista, 10 MFC
Zenodo (CERN European Organization for Nuclear Research)
Geometry and complex manifolds
article

NON-PERTURBATIVE QUANTIZATION OF MULTIVERSAL INVARIANTS VIA THE EXCEPTIONAL SPECTRAL RESIDUES OF HIGHER-WEIGHT MOCK-AUTOMORPHIC L-FUNCTIONS AND ARITHMETIC ERGODICITY

Zen Revista, 10 MFC
article en

Abstract

Mathematical Applications of Science Fiction We present a rigorous derivation of the non-perturbative quantization of topological invariants associated with the moduli space of Calabi–Yau threefolds, referred to as the Multiversal Manifold. By lifting the automorphic constraints to the space of higher-weight harmonic Maass forms, we construct a generalized mock-automorphic L-function. We show that the exceptional spectral residues of this function along the critical line encode the discrete energy spectra of trans-temporal vacuum states. Furthermore, we prove an Arithmetic Ergodicity Theorem for the coefficients of these mock forms under the action of the Hecke algebra, establishing a Quantum Unique Ergodicity result for the associated shadow operator. This framework resolves the holomorphic anomaly within background-independent string field theory and provides a canonical isomorphism between the cohomology of the temporal sheaf and the kernel of the shadow operator.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 19%
Geometry and complex manifolds
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NON-PERTURBATIVE QUANTIZATION OF MULTIVERSAL INVARIANTS VIA THE EXCEPTIONAL SPECTRAL RESIDUES OF HIGHER-WEIGHT MOCK-AUTOMORPHIC L-FUNCTIONS AND ARITHMETIC ERGODICITY — Zen Revista, 10 MFC · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS