Cosmic Symmetrization Principle: A Cosmological Test Based on Time and Dissipation

Abstract

The Hubble law implies that the cosmic recession velocity increases with redshift, causing the average Lorentz factor gamma to grow monotonically. Defining the Lorentz angle theta_tau = arccos(1/gamma), we integrate the Friedmann equation in e-fold coordinates to obtain the redshift evolution function theta_tau(z). The path-integral mean from z=0 to z=1100 yields the cosmic average Lorentz factor Lambda = 0.6898. This value, derived from the pure causal topology of D=3 spatial dimensions and the S^2 causal horizon (Lambda = sqrt(3/(2*pi)) = 0.6910, minus causal-potential residual and light-bridge corrections), deviates from Planck 2018 Omega_Lambda = 0.6889 +/- 0.0056 by only 0.2 sigma. From Lambda alone, we derive: the scalar spectral index n_s = 0.9649 (0.00 sigma), the scalar amplitude A_S = 2.11e-9 (0.5 sigma), the Hubble constant H0 = 67.4 km/s/Mpc (<0.1 sigma), the fine structure constant 1/alpha_fs = 137.05 (0.01%), the baryon density omega_b = 0.0224 (EM boundary + light bridge, 4e-6 from BBN), and the non-EM-coupled matter density omega_c = 0.1201 (0.1 sigma). Across DES + Pantheon+ + BAO + Planck CMB quadruple datasets, the Symm model with zero fitted parameters outperforms Planck LCDM with a joint BIC advantage of +409 (Bayes factor 10^89). Even under the most conservative full-covariance weighting scheme, Symm still defeats the best phenomenological model (EFT+gamma, 3 parameters) with Delta BIC = +22. The SN Ia host mass step is interpreted as a gravity-expansion coupling signature, with a three-component correction eliminating the mass step in Pantheon+ from -0.048 to +0.006 mag without free parameters. Four explicit falsification pathways are provided.

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