What question did this study set out to answer?

To prove that the horizontal effective metric coefficient converges to two ($A_H \to 2$), completing the isotropic Lorentzian geometry in the Cosmochrony framework.

August 16, 2026Open Access

Asymptotic su(2)-Isotropy of the Effective Quadratic Form and the Identification AH = 2

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To prove that the horizontal effective metric coefficient converges to two ($A_H \to 2$), completing the isotropic Lorentzian geometry in the Cosmochrony framework.
Derived mathematical proofs based on the asymptotic character-independence of O-series spectral observables ($\\sigma_c(n) \to \\sigma_*(n)$ as $q \to \infty$).
Applied the uniqueness of the $\mathfrak{su}(2)$-invariant quadratic form on $\operatorname{Sym}^2(V_\rho)$ alongside numerical confirmations evaluated for $q \leq 211$.
Demonstrated that asymptotic character-independence forces the effective form on $H_{\mathrm{eff}}$ to transform as a scalar under the $\mathfrak{su}(2)$ action.
Identified $A_H = 2$, matching the Casimir eigenvalue $A_Z = 2$ and establishing the full metric $g^{\mu\nu} = \mathrm{diag}(-A_\tau, 2, 2, 2)$ conditional on O-series universality and bridge non-obstruction.

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Implication

Theoretical proof demonstrates asymptotic su(2)-isotropy of the effective quadratic form, establishing an isotropic Lorentzian metric in the Cosmochrony framework.

Cite This Study

Jérôme Beau (2026) studied this question.

synapsesocial.com/papers/6a817a91f2fb91fc834ae770 https://doi.org/10.5281/zenodo.21947523

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Implication

Theoretical proof demonstrates asymptotic su(2)-isotropy of the effective quadratic form, establishing an isotropic Lorentzian metric in the Cosmochrony framework.

Asymptotic su(2)-Isotropy of the Effective Quadratic Form and the Identification AH = 2

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Implication

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Asymptotic su(2)-Isotropy of the Effective Quadratic Form and the Identification AH = 2

Key Points

Discussion

Implication

Cite This Study

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