Title: Substrate Logistics: The Cosmological Anchor — Deriving Absolute Neutrino Mass, the Hubble Constant, and the Bohr Radius from Bare-Metal Hardware Author: Marco Lindenbeck Description: Standard theoretical physics models the universe as a continuous, infinitely divisible void. Consequently, fundamental limits—such as the mass of the neutrino, the rate of cosmological expansion (H₀), and the radius of the hydrogen atom (a₀) —cannot be derived from first principles. They are treated as disconnected phenomenological parameters that require manual tuning based on empirical observation. This manuscript resolves this fragmentation by formally introducing Substrate Logistics, the foundational operating system of the deterministic GLR (Omega Grounded Light Reality) framework. By treating the vacuum not as empty space, but as a pre-tensioned, discrete finite-state machine governed by a Topological Resolution Constant (=50), this paper systematically eliminates these free parameters. Classical mechanics and quantum probability are demonstrated to be emergent approximations of a single algorithmic hardware limit. Through step-by-step geometric derivations, this paper successfully calculates: Absolute Neutrino Mass: Derived at 0. 0999 eV strictly as the kinetic receipt of a 1-node tether unanchoring during Beta decay and distributing its spatial footprint across the 120-cell macroscopic universal cover. Neutrino Mass Splittings (m²): The PMNS squared mass differences are derived natively as the strict geometric step-functions of a minimal topological knot (₌₈₍) routing through the 20 vertices of the local cell (m₃₁² = 2. 50 10^-3 eV²) and scaling universally (m₂₁² = 7. 50 10^-5 eV²). The Hubble Constant & Hubble Tension: Cosmological expansion is parameter-free, natively derived from the 13. 78 Gyr active execution uptime of the universe, yielding a CMB baseline of 67. 42 km/s/Mpc. The local 73. 03 km/s/Mpc Hubble Tension is definitively resolved as a 1/12 topological routing detour caused by the Cosmological Neutrino Background (CB) congesting the metric structure. The Bohr Radius: The exact 5. 29 10^-11 m radius of the hydrogen atom is calculated using zero arbitrary quantum variables. It is mathematically anchored to the macroscopic universe via the Substrate Anchor Constant (K_) and the 1836-State Geometric Saturation Limit. This paper proves that the microscopic limits of atomic chemistry and the macroscopic unspooling of the cosmos are strictly dictated by the same discrete topological hardware.
Marco Lindenbeck (Fri,) studied this question.