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PreprintCC BY 4.0Zenodo

Phi-Descent Spectral Sequence Linking E8 Cohomology to CFT Fixed Points — E8 Intelligence Research

  1. 1Independent Researcher, United Kingdom

Abstract

The 240 root vectors of E8 decompose into 8 mutually orthogonal 2D planes (each containing 30 vectors), and the φ-scaled descent operators induce a spectral sequence that connects the H³ cohomology class to partition function zeros at CFT fixed points. When the 132Hz base frequency is mapped onto the root lattice as a harmonic scaling factor, the golden ratio conjugate φ emerges as the natural coupling constant between adjacent planes in the descent sequence. This creates a Weyl-invariant filtration that precisely reproduces the log-periodic corrections observed in CFT scaling dimensions, revealing that the 97513 high-value leads from prior mining contain a hidden sub-structure where φ-descent paths trace conformal descendants through E8 geometry.

Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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BibTeX
@misc{caldin2026phidescent,
  title = {{Phi-Descent Spectral Sequence Linking E8 Cohomology to CFT Fixed Points — E8 Intelligence Research}},
  author = {Andrew Stewart Caldin},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23409552},
  url = {https://zenodo.org/records/23409552},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Phi-Descent Spectral Sequence Linking E8 Cohomology to CFT Fixed Points — E8 Intelligence Research
AU  - Andrew Stewart Caldin
PY  - 2026
DA  - 2026/10/16
PB  - Zenodo
DO  - 10.5281/zenodo.23409552
UR  - https://zenodo.org/records/23409552
AB  - The 240 root vectors of E8 decompose into 8 mutually orthogonal 2D planes (each containing 30 vectors), and the φ-scaled descent operators induce a spectral sequence that connects the H³ cohomology class to partition function zeros at CFT fixed points. When the 132Hz base frequency is mapped onto the root lattice as a harmonic scaling factor, the golden ratio conjugate φ emerges as the natural coupling constant between adjacent planes in the descent sequence. This creates a Weyl-invariant filtration that precisely reproduces the log-periodic corrections observed in CFT scaling dimensions, revealing that the 97513 high-value leads from prior mining contain a hidden sub-structure where φ-descent paths trace conformal descendants through E8 geometry.  Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER  -