The Algebraic Bridge: A Geometric Boundary Constraint Framework for Topological Mass, Vacuum Stiffness (\zeta), and Discrete Temporal Tallies

Zenodo Record Identifier: zenodo.8492026-AB Document Classification: Technical Memorandum & Theoretical Preprint Date: August 2026 Abstract This paper presents a non-standard theoretical framework attempting to unify Quantum Field Theory (QFT) and General Relativity (GR) through a Geometric Boundary Constraint model, termed the "Algebraic Bridge." By replacing point-particle paradigms with topological light-traps, introducing a vacuum stiffness constant (\zeta), and treating time as a discrete internal tally (T), we resolve foundational scaling artifacts such as the Cosmological Constant Problem and mass generation without invoking Higgs field coupling. Furthermore, we integrate a discrete hexagonal lattice stabilized by a Mod 9 invariant, operating under a 7-cycle periodic break to prevent thermal runaway at the 5184 frequency threshold.