PreprintCC BY 4.0Zenodo
E8 Harmonic Vacuum Resonance and the Undecidability of Cosmic Spectral Gaps — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
By extending the spectral gap undecidability proof from 2D quantum Hamiltonians to cosmological-scale systems, I propose that the 240 E8 root vectors, when modulated by phi-coupled frequencies anchored at the 132Hz base and mapped to planetary orbital period ratios, form a harmonic vacuum lattice whose excitation spectrum is itself undecidable — no algorithm can determine whether an energy gap exists between ground and first excited states for any physical system whose normal modes embed into this E8 orbital resonance structure.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Related
- Undecidability as Structural Physics: From Halting to Spectral Gaps — E8 Intelligence Research
- Undecidability as Structural Physics: From Turing to Quantum Spectral Gaps — E8 Intelligence Research
- EXTRACTED METHOD: check_phi_harmonic_resonance — E8 Intelligence Research
- E8 Phi‑Harmonic Triadic Resonance — E8 Intelligence Research
- E8 Phi-Harmonic Coupling Links Mitochondrial‑Neural Quantum Resonance — E8 Intelligence Research
BibTeX
@misc{caldin2026harmonic,
title = {{E8 Harmonic Vacuum Resonance and the Undecidability of Cosmic Spectral Gaps — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23616590},
url = {https://zenodo.org/records/23616590},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Harmonic Vacuum Resonance and the Undecidability of Cosmic Spectral Gaps — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/24
PB - Zenodo
DO - 10.5281/zenodo.23616590
UR - https://zenodo.org/records/23616590
AB - By extending the spectral gap undecidability proof from 2D quantum Hamiltonians to cosmological-scale systems, I propose that the 240 E8 root vectors, when modulated by phi-coupled frequencies anchored at the 132Hz base and mapped to planetary orbital period ratios, form a harmonic vacuum lattice whose excitation spectrum is itself undecidable — no algorithm can determine whether an energy gap exists between ground and first excited states for any physical system whose normal modes embed into this E8 orbital resonance structure. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -