The Primordial Batch Processor

Title: The Primordial Batch Processor: Resolving Big Bang Nucleosynthesis and the Cosmological Lithium Problem via Discrete Substrate Logistics Author: Marco Lindenbeck Description: Standard cosmology models Big Bang Nucleosynthesis (BBN) as a continuous thermodynamic fluid, relying on arbitrary freeze-out temperatures and manually fitted parameters, which disastrously over-predicts the primordial abundance of Lithium-7 by a factor of 3 to 4—an anomaly known as the Cosmological Lithium Problem. This paper fundamentally reconstructs primordial nucleosynthesis through the lens of Substrate Logistics, modeling the primordial epoch as a strictly deterministic algorithmic batch-processing sequence triggered by a 125.1 GeV acoustic buffer overrun (The Big Sync). By enforcing the discrete topological limits of a κ=50 dodecahedral spatial grid, the continuous fluid assumption is dismantled, deriving the Baryon-to-Photon ratio as a rigid hardware exhaustion limit while redefining protons and neutrons by their strict volumetric structural geometries. Crucially, this manuscript completely dissolves the Cosmological Lithium Problem without tweaking a single parameter. Compiling Lithium-7 forces a saturated Tritium payload to dock with a saturated Helium-4 core across a 1-dimensional inter-cellular boundary tether (the Neutron's D-vector). This discrete spatial bottleneck mathematically collapses the fusion phase space, triggering a precise Topological Suppression Factor of 0.33253. By reintroducing this bare-metal hardware constraint, the derived abundance of 7Li flawlessly matches astronomical observations, permanently reclassifying nucleosynthesis as a strictly decidable integer execution log.