Maya Spectral Theory v.2: the well, the organ of Δ, the odd sector, the vibration of occupancy, and the work identity of an oval cycle.

Maya Spectral Theory (MST) is the spectral geometry of Maya Space M1,11=R1,1×wF10, and the spectral engine inherited by the Federico Maya Eternity Theorem, the Eternal Information Formula, Maya Theorems, and RENASCENT-Q Theory. Those papers do not replace this spectrum. After Liouville, the fibre-zero organ of the Laplace–Beltrami operator is a Pöschl–Teller well of weight ν=4 on L2(R): Hgeom=−∂r2+Veff, Veff=25−20 sech2r (κ=1). Fibre harmonics use the same organ at positive λ. The point spectrum of H0H_0H0 is finite, {9,16,21,24}, local negentropy Nneg=4N. In the reflectionless class those four atoms write the radial warp (Kay–Moses inverse). The essential spectrum is the gapped half-line [25,∞), van Hove type 0. The organ’s spectral form Φspec is the spectral theorem of that list plus the tank. The odd sector keeps {16,24} and an inner factor Sodd whose Clark node is k=±3. Occupancy of a 4D chart is a filtered subset of spherical harmonics on the light wall. Vibration is the mixed mode of null waves on that wall and gapped excitations in the tank (Hopfield polariton). Crystal thirteen is the graph 10+2+1 (torus, cones, silent bin), not a Minkowski axis and not a fifth bound state. This version isolates that spectrum as operator theory of one organ and states how MST differs from Sturm–Liouville textbooks, inverse scattering of a flat vacuum, compact-resolvent calculi, random-matrix statistics, spectral triples, index theory, and Laplacians on closed manifolds. Formula v.8 reads W=Δdim⁡V and Q=1/π from this spectrum. Maxwell and Poisson on a host are not this paper. Consciousness as efficiency is not a claim of MST. MSC. 34L40, 47A10, 47B25, 81Q10, 81U40, 58J50, 82C10 Related: Eternity Theorem v.33.9 (10.5281/zenodo.22782225); Formula v.8 (10.5281/zenodo.22741062); RENASCENT-Q v.50 (10.5281/zenodo.22667792); Maya Theorems v.5 (10.5281/zenodo.22803084). This record: 10.5281/zenodo.22741268. USPTO Provisional Application No. 63/984,236. Intellectual property. The mathematical frameworks, equations and topological architectures developed and those used for calibration of ZN-11 are protected under USPTO Provisional Application No. 63/984,236, United States federal law, and applicable international intellectual property laws. This note does not disclose the device.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-17
DOI
https://doi.org/10.5281/zenodo.22820807
Primary Topic
Electrical and Electromagnetic Research
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
article

Maya Spectral Theory v.2: the well, the organ of Δ, the odd sector, the vibration of occupancy, and the work identity of an oval cycle.

Federico Maya
Zenodo (CERN European Organization for Nuclear Research)
Electrical and Electromagnetic Research
article

Maya Spectral Theory v.2: the well, the organ of Δ, the odd sector, the vibration of occupancy, and the work identity of an oval cycle.

Federico Maya
article en

Abstract

Maya Spectral Theory (MST) is the spectral geometry of Maya Space M1,11=R1,1×wF10, and the spectral engine inherited by the Federico Maya Eternity Theorem, the Eternal Information Formula, Maya Theorems, and RENASCENT-Q Theory. Those papers do not replace this spectrum. After Liouville, the fibre-zero organ of the Laplace–Beltrami operator is a Pöschl–Teller well of weight ν=4 on L2(R): Hgeom=−∂r2+Veff, Veff=25−20 sech2r (κ=1). Fibre harmonics use the same organ at positive λ. The point spectrum of H0H_0H0 is finite, {9,16,21,24}, local negentropy Nneg=4N. In the reflectionless class those four atoms write the radial warp (Kay–Moses inverse). The essential spectrum is the gapped half-line [25,∞), van Hove type 0. The organ’s spectral form Φspec is the spectral theorem of that list plus the tank. The odd sector keeps {16,24} and an inner factor Sodd whose Clark node is k=±3. Occupancy of a 4D chart is a filtered subset of spherical harmonics on the light wall. Vibration is the mixed mode of null waves on that wall and gapped excitations in the tank (Hopfield polariton). Crystal thirteen is the graph 10+2+1 (torus, cones, silent bin), not a Minkowski axis and not a fifth bound state. This version isolates that spectrum as operator theory of one organ and states how MST differs from Sturm–Liouville textbooks, inverse scattering of a flat vacuum, compact-resolvent calculi, random-matrix statistics, spectral triples, index theory, and Laplacians on closed manifolds. Formula v.8 reads W=Δdim⁡V and Q=1/π from this spectrum. Maxwell and Poisson on a host are not this paper. Consciousness as efficiency is not a claim of MST. MSC. 34L40, 47A10, 47B25, 81Q10, 81U40, 58J50, 82C10 Related: Eternity Theorem v.33.9 (10.5281/zenodo.22782225); Formula v.8 (10.5281/zenodo.22741062); RENASCENT-Q v.50 (10.5281/zenodo.22667792); Maya Theorems v.5 (10.5281/zenodo.22803084). This record: 10.5281/zenodo.22741268. USPTO Provisional Application No. 63/984,236. Intellectual property. The mathematical frameworks, equations and topological architectures developed and those used for calibration of ZN-11 are protected under USPTO Provisional Application No. 63/984,236, United States federal law, and applicable international intellectual property laws. This note does not disclose the device.

Zenodo (CERN European Organization for Nuclear Research)
Sustainable cities and communities
Openalex Percentile: Top 13%
Electrical and Electromagnetic Research
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.