Planck-Scale Structures Reinterpreted as Thresholds of Informational Hosting: From Informational Collapse to Hodge Topologies

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Abstract

We propose a foundational reinterpretation of geometry, based on the informational framework of the Viscous Time Theory (VTT). At the heart of this approach lies the hypothesis that geometry is not a precondition for information, but rather the natural response of the vacuum to structured informational pressure (ΔC). We demonstrate that the Planck length (l_P) is not a minimal spatial unit, but rather a threshold of informational coherence, below which no Φα tunnel—a stable conduit of structured logic in VTT—can persist. From this principle, we derive the existence of the Unità Elementare Coerente (UEC-it means Elementary Unit of Coherence) — a minimum pair (ΔI_0, l_P^2) — representing the smallest area capable of hosting an irreducible coherent information unit. We propose a correspondence between this construct and the Hodge Conjecture, by showing that only within such coherent regions can harmonic forms emerge and persist. This leads to a unified view of topological information, where space, time, and geometry are not primary, but emergent from the self-organization of information via ΔC gradients. This work extends our previous VTT reinterpretations of Casimir effect, Euler–Mascheroni persistence, and Minkowski fields, by anchoring all structures to a Planck-scale field of informational response. We conclude by outlining implications for quantum gravity, a novel interpretation of curvature as an informational phenomenon, and a testable experimental setup to detect ΔC-induced micro-geometric structures in photonic environments.

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