Gap-protected spectral invariants on T^d/Z_2: dimensional rigidity and spectral determination at d = 4
Year: 2026
Type: preprint
Abstract: Preprint of Gap-protected spectral invariants on T^d/Z_2: dimensional rigidity at d = 4. On certain flat orbifolds the spectral projector rank of the covering torus at a finite cutoff decomposes exactly into orbifold-topological invariants and their products; on T^d/Z_2 with the cubic lattice the decomposition exists if and only if d = 4 (dimensional rigidity). The deposit includes the manuscript and supplementary-material PDFs and the scripts reproducing the two computational steps (the substrate-uniqueness sweep and the spectral-radius / Krawtchouk-eigenvalue bound). Python 3 with NumPy, SymPy, mpmath.
Author: Craton, Andrew
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7165388594
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