THE KARAHAN FRAMEWORK: COSMIC ORIGINS AND THE UNIFIED PROOF (v10.0) + Python Code

Asil Karahan 07. 04. 2026 THE KARAHAN FRAMEWORK: COSMIC ORIGINS AND THE UNIFIED PROOF (v10. 0) Abstract: The Karahan Framework replaces the singularity-based "Big Bang" with a deterministic model of inheritance. It posits that our universe emerged from the extremal Kerr ring-singularity of a collapsed progenitor system (Parent Universe). This transition is governed by a 1: 19 topological partition of energy, providing a first-principles derivation of the 5% baryonic matter density and a precise resolution to the Hubble Tension. I. Origin via Rotating Inheritance (The Kerr Bounce) The birth of our cosmos is defined as a geometric phase transition of a rotating Kerr singularity. Upon reaching critical torsion density, a dynamic "Bounce" occurs, losslessly transferring the angular momentum of the progenitor system into the expansion of our spacetime. This inherited rotation is formalized as a torsion flux (T_^Kerr\Flux) integrated into the field equations, effectively replacing the need for an external "Inflaton" field. II. Topological Flux Quantization: The 1: 19 Partition Proof To derive the 5% baryonic matter constant from first principles, the extremal Kerr metric (a^* = 1) is analyzed at its physical threshold. In this state, the energy flux is subject to Chern-Simons topology, which quantizes the flow into discrete winding numbers (W). The extreme symmetry breaking at the ring's edge isolates exactly one topological flux quantum (W₄₃₆₄ = 1) for matter condensation (Baryogenesis). The irrotational center (Bypass) carries the remaining 19 quanta (W₁ₘ₏₀ₒₒ = 19), representing the Dark Sector. The Partition Formula: Python code import numpy as np def simulateₖarahanfriedmann (): # Fundamental Starting Conditions (v10. 0) Hₑarly = 67. 3 Omegaₘ₀ = 0. 05 # Baryonic Matter (1: 19 Partition) Omegaₜ₀ = 0. 95 # Torsion Energy (Bypass) jᵢnitial = 0. 185 # Karahan Spin-Damping Factor def calcHₖarahan (a): # Matter Dilution vs. Torsion Evolution rhoₘ = Omegaₘ₀ * (a**-3) rhoₜ = Omegaₜ₀ * (1 + jᵢnitial * (1 - a) ) return Hₑarly * np. sqrt (rhoₘ + rhoₜ) print ("--- Karahan Framework v10. 0: Numerical Proof ---") # Test: Early Phase (0. 1), Expansion (0. 5), Today (1. 0) for a in 0. 1, 0. 5, 1. 0: hᵥal = calcHₖarahan (a) label = "Today (Local) " if a == 1. 0 else "Expansion " if a == 0. 1: label = "Early Universe " print (f"Scale Factor a=a: . 1f | label -> H = hᵥal: . 2f km/s/Mpc") if _ₙame__ == "_ₘain__": simulateₖarahanfriedmann ()