Paper M: FSC Self-Consistent Cosmology — Derivation of Cosmic Composition and Hubble Constant from Symmetry Principles

Abstract We present the Four-Sector Cosmology (FSC) as a fully self-consistent frame-work that derives the observed cosmic composition (ΩI,ΩII,ΩIII) and the Hubbleconstant H0 from symmetry principles alone, without borrowing any observed valuesas input. Starting from CPT symmetry (ΩIV,ini = 0.25), U(1) symmetry breaking(VVEV = 0.5177), and the fixed-point condition λ∗= H∗0 , FSC predicts ΩI = 0.049,ΩII = 0.268, ΩIII = 0.683, and H∗0 = 68.41 km s−1 Mpc−1. A hidden conservationlaw, (ρI + ρIV ) ∝ a−3, is analytically derived and shown to be independent of thedecay constant λ. The self-consistent Hubble constant H∗0 = 68.41 km s−1 Mpc−1lies between the Planck value (67.40) and the SH0ES value (73.00), providing anindependent FSC prediction that accounts for 18% of the observed Hubble tension.