Emergent Time from E8: Thermodynamic Arrow, Closed Timelike Curves, theta_QCD and the Recursive Pattern

Four results on the temporal structure of the universe are traced to the algebra of E8, with all dependencies declared. (1) Thermodynamic arrow: maximal E8 symmetry implies vanishing Weyl curvature and minimal gravitational entropy, deriving the past hypothesis (given Penrose's Weyl-curvature hypothesis and the TTOE emergent-metric identification). (2) Closed timelike curves: in the perturbative regime, Kerr CTCs are confined beyond an unstable inner horizon (blueshift instability plus mass inflation) and are non-traversable; TTOE adds a thermodynamic protection layer consistent with Hawking's chronology protection. (3) theta_QCD(bare)=0: the longest element w0=-id of W(E8) — equivalently, all Coxeter exponents odd — forces real adjoints and CP conservation in the gauge sector, with theta=pi excluded via the Dashen phenomenon; the radiative theta_eff fails the nEDM bound through a structural no-go of the 120_H (8-order gap), so strong CP requires external input. (4) The recursive pattern "E8 generates discrete options + external non-adjustable selection" is formalized as a theorem (finiteness, externality, non-adjustability), with six verified instances. Part of the TTOE research programme; results are classified by epistemic status and require independent verification.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-26
DOI
https://doi.org/10.5281/zenodo.22106088
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
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preprint

Emergent Time from E8: Thermodynamic Arrow, Closed Timelike Curves, theta_QCD and the Recursive Pattern

E.U.O.
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
preprint

Emergent Time from E8: Thermodynamic Arrow, Closed Timelike Curves, theta_QCD and the Recursive Pattern

E.U.O.
preprint en

Abstract

Four results on the temporal structure of the universe are traced to the algebra of E8, with all dependencies declared. (1) Thermodynamic arrow: maximal E8 symmetry implies vanishing Weyl curvature and minimal gravitational entropy, deriving the past hypothesis (given Penrose's Weyl-curvature hypothesis and the TTOE emergent-metric identification). (2) Closed timelike curves: in the perturbative regime, Kerr CTCs are confined beyond an unstable inner horizon (blueshift instability plus mass inflation) and are non-traversable; TTOE adds a thermodynamic protection layer consistent with Hawking's chronology protection. (3) theta_QCD(bare)=0: the longest element w0=-id of W(E8) — equivalently, all Coxeter exponents odd — forces real adjoints and CP conservation in the gauge sector, with theta=pi excluded via the Dashen phenomenon; the radiative theta_eff fails the nEDM bound through a structural no-go of the 120_H (8-order gap), so strong CP requires external input. (4) The recursive pattern "E8 generates discrete options + external non-adjustable selection" is formalized as a theorem (finiteness, externality, non-adjustability), with six verified instances. Part of the TTOE research programme; results are classified by epistemic status and require independent verification.

Zenodo (CERN European Organization for Nuclear Research)
Life in Land
Cosmology and Gravitation Theories
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