From the Field Sea to Discrete Reality: The Lattice Structure of Spacetime and a Deterministic Quantum Proposal

From the Field Sea to Discrete Reality: The Lattice Structure of Spacetime and aDeterministic Quantum ProposalBedizDepartment of Mathematics Engineering, Yildiz Technical University, Istanbul, Turkey(Dated: May 27, 2026)This paper introduces the “Field Sea” model, a novel theoretical framework aimed at reconcilingGeneral Relativity and the Standard Model by redefining spacetime as a discrete, cellular superfluid lattice rather than a smooth continuum. The lattice is characterized by a fundamental spatialresolution limit of a ≈ 1.03 × 10−11 m, with constitutive nodes possessing an effective thermodynamic mass of mnode ≈ 3.01 × 10−60 kg. Gravitation is formulated as the macro-mechanical strain(uµν) of these lattice joints, which smoothly transitions to the Einsteinian metric tensor (gµν) under weak-field limits. Within this hydrodynamic framework, dark energy emerges as a negativethermodynamic pressure driven by the continuous injection of vacuum nodes (w = −1), while darkmatter represents localized lattice condensation. Bosons are identified as localized acoustic perturbations within the superfluid, and fermions are modeled as self-sustaining topological vortices(Hopfions). Furthermore, the fine-structure constant (α ≈ 1/137.036) is derived through a rigorousgeometric optimization of a Spindle Torus vortex core, establishing a strict spatial locking ratio ofR/a ≈ 0.6718. The apparent absence of Lorentz invariance violation at current collider scales isresolved via a strict superfluidity energy threshold calculated at Ethreshold ≈ 1040 TeV, renderingthe discrete structure of the vacuum invisible to contemporary experimental high-energy physics.