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Topological Casimir Tension, the Truncated Photon Paradox, and Optical Metric Engineering

Authors: Aksman, Michael;

Topological Casimir Tension, the Truncated Photon Paradox, and Optical Metric Engineering

Abstract

We present a self-contained hydrodynamic derivation demonstrating that the modern vacuum and its emergent quantum properties are deterministic macroscopic consequences of a discrete topological vorton manifold embedded in a continuous superfluid. By evaluating the mechanical equilibrium between pairwise fluid expansion, entropic screening, and topological Casimir tension, we select a stable Heegner lattice bounded at N = 861. We derive the internal fluid parameters, revealing a pairwise interaction scale converging on the Golden Ratio (∼ 1.618 eV). We compare three photon models—continuous QFT, the Rukan-Gulla-Skaar truncated state, and the DSM-861 vorton photon—demonstrating that this rigid arithmetic manifold natively resolves the ultraviolet infinities of QFT via a deterministic enstrophy collapse cutoff. Finally, we establish the theoretical framework for OpticalMetric Engineering. Drawing a direct topological homology to laser-induced toggle switching in van der Waals ferromagnets, we prove that intense optical vortices (Orbital Angular Momentum ℓ = 72) apply direct mechanical torque to the vacuum. By mapping the thermodynamic race between optical shear injection and the 2.56-femtosecond vorton relaxation time, we define the exact threshold for inducing stable gravitational metric deformations (δg00) without triggering catastrophic vacuum melting.

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