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This work presents a non-perturbative framework to unify quantum geometry and thermodynamics through recursive number theory.

January 6, 2026Open Access

SDRIS: The Recursive Vacuum

Key Points

This work presents a non-perturbative framework to unify quantum geometry and thermodynamics through recursive number theory.
Developed the Static-Dynamic Recursive Information Space (SDRIS) model defining the universe as a discrete information lattice.
Utilized numerical analysis to quantify vacuum energy suppression and thermodynamic evolution.
Performed geometric projections to correct Planck's Hubble constant measurements.
Quantitative solution to the Cosmological Constant Problem achieved, aligning vacuum energy predictions with observed dark energy values.
Identified geometric factors to resolve Hubble Tension, correcting Planck $H_0$ to fit local Supernovae measurements.

Abstract

Abstract: This work presents the Static-Dynamic Recursive Information Space (SDRIS), a non-perturbative framework that unifies quantum geometry and thermodynamics through recursive number theory. Departing from the assumption of a pre-existing spacetime background, the universe is modeled as a discrete, unfolding information lattice originating from a high-dimensional bulk (N=408) and crystallizing at the Planck scale (N=26). The central contribution is a quantitative solution to the Cosmological Constant Problem. We demonstrate that the discrepancy between the theoretical Planck energy density and the observed vacuum energy (120 orders of magnitude) is a direct consequence of metric scaling. Numerical analysis confirms that the combination of Geometric Inflation (driven by the Golden Ratio) and Topological Damping (driven by Euler's Totient function) results in a cumulative suppression factor of approx. 10^-121. 4. This prediction aligns with the observed value of Dark Energy (10^-120) with remarkable precision. Furthermore, the framework derives the Golden Geodesic, identifying intrinsic quantum spin as the angular momentum required to traverse the orthogonal expansion of the bulk. Additionally, the model resolves the Hubble Tension by identifying a geometric projection factor of (4/) ^1/3, correcting the Planck H₀ value to match local Supernovae measurements. Repository Contents: 109SDRISTheRecursiveVacuum. pdf: The full theoretical paper including derivations and proofs. 109SDRISSimulation. ipynb: Python Jupyter Notebook verifying the thermodynamic evolution and the vacuum energy suppression calculation. 109SDRISVisualization. ipynb: Python Jupyter Notebook rendering the 3D metric unfolding and the Golden Geodesic trajectory. 109SDRISSupplementarySpaceUnfoldingVacuumEnergy. csv: High-precision dataset containing metric radius and energy density for all lattice dimensions from N=409 to N=1.

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