Published October 19, 2026 | Version v4

Random Causal Set Dynamics and Emergent Gravity: The Universal Quantum Friction Law and the Spacetime Ultraviolet Cutoff

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The inconsistency between the continuum of general relativity and quantum mechanics necessitates a discrete spacetime structure at the microscopic scale. However, traditional lattice theories inherently violate Lorentz invariance. In this study, we demonstrate that a Random Causal Set model based on a Poisson distribution preserves statistical Lorentz symmetry, transforming anomalous dispersion into a quantum wavefront blurring effect (decoherence). By establishing an effective interaction field between neutral scalar particles and the discrete node structure, we discover a Universal Quantum Friction Law. Specifically, the decay width of the Higgs boson and the anomaly of the π⁰ both converge, identifying the exact spacetime ultraviolet cutoff at Λ_SVL ≈ 1.2 × 10⁷ GeV. This energy scale not only aligns with the Majorana mass generation scale in the Type-I Seesaw mechanism, but also sits exactly on the razor's edge of experimental Kaon mixing bounds. Furthermore, we propose a framework of Emergent Gravity wherein the Planck scale (10¹⁹ GeV) is merely a macroscopic statistical illusion, while fundamental spacetime is truly discrete at 10⁷ GeV. This theoretical framework provides specific empirical predictions verifiable by next-generation observatories and interferometers.

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