Random Causal Set Dynamics and Emergent Gravity: The Universal Quantum Friction Law and the Spacetime Ultraviolet Cutoff
Abstract
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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BibTeX
@misc{la2026random,
title = {{Random Causal Set Dynamics and Emergent Gravity: The Universal Quantum Friction Law and the Spacetime Ultraviolet Cutoff}},
author = {Ngoc Bao La},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23464256},
url = {https://zenodo.org/records/23464256},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Random Causal Set Dynamics and Emergent Gravity: The Universal Quantum Friction Law and the Spacetime Ultraviolet Cutoff
AU - Ngoc Bao La
PY - 2026
DA - 2026/10/19
PB - Zenodo
DO - 10.5281/zenodo.23464256
UR - https://zenodo.org/records/23464256
AB - 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.
ER -