E8 Phi=5/3 Invariant 240/144 - Zero-Parameter Exact Ratio

Zero-parameter exact ratio from E8 Lie algebra root system. Phi = 240/144 = 5/3 Where 240 = number of roots of E8, 144 = complementary count from SO(16) maximal subgroup branching. This is a pure group theory invariant, no fitted parameters, no S4D factor, no Alpha fitting. This work is part of the CCRT zero-parameter companion series to the CCRT v1.1 one-parameter ansatz (10.5281/zenodo.21109251 v1.1). Formal proof and exact counting provided in the attached PDF. E8 to SO(16) -> SO(7) branching chain. License: CC BY 4.0 Keywords: E8, Phi=5/3, 240 roots, Lie algebra, zero-parameter, exceptional groups

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-16
DOI
https://doi.org/10.5281/zenodo.21398357
Primary Topic
Algebraic structures and combinatorial models
Type
preprint
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preprint

E8 Phi=5/3 Invariant 240/144 - Zero-Parameter Exact Ratio

Amer Mohammad Ahmad Mansour
Zenodo (CERN European Organization for Nuclear Research)
Algebraic structures and combinatorial models
preprint

E8 Phi=5/3 Invariant 240/144 - Zero-Parameter Exact Ratio

Amer Mohammad Ahmad Mansour
preprint en

Abstract

Zero-parameter exact ratio from E8 Lie algebra root system. Phi = 240/144 = 5/3 Where 240 = number of roots of E8, 144 = complementary count from SO(16) maximal subgroup branching. This is a pure group theory invariant, no fitted parameters, no S4D factor, no Alpha fitting. This work is part of the CCRT zero-parameter companion series to the CCRT v1.1 one-parameter ansatz (10.5281/zenodo.21109251 v1.1). Formal proof and exact counting provided in the attached PDF. E8 to SO(16) -> SO(7) branching chain. License: CC BY 4.0 Keywords: E8, Phi=5/3, 240 roots, Lie algebra, zero-parameter, exceptional groups

Zenodo (CERN European Organization for Nuclear Research)
Algebraic structures and combinatorial models
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