Resolving the Vacuum Catastrophe: Holographic Bit-Density and the Cosmological Constant

Cody Hudock Hudock

doi:10.59973/ipil.345

Authors

Cody Hudock Hudock nformation Physics Institute, Gosport, Hampshire, United Kingdom, www.informationphysicsinstitute.org

DOI:

https://doi.org/10.59973/ipil.345

Keywords:

Vacuum Catastrophe, Cosmological constant, Holographic principle, Infodynamics, MEI principle, Landauer's principle, Dark Energy, information theory

Abstract

The quantum vacuum zero-point energy exceeds the observed Dark Energy density by ∼ 10¹²⁰. We present a heuristic framework in which spacetime is a discrete substrate constrained by holographic bounds and Dark Energy arises as the Landauer erasure cost of maintaining spatial geometry. Combining the Cohen-Kaplan-Nelson (CKN) holographic bound with the Landauer erasure cost at the CMB temperature yields a bare vacuum density ρ_bare ≈ 2.07×10⁻²⁷ kg/m³—within a factor of ∼ 4 of the Friedmann critical density, with no fitted parameters. The residual factor is determined by the dimensionless ratios TCMB/TP and H0tP (equation 11); its proximity to ln(57) ≈ 4.04, where N = 57 is the Standard Model chiral degree-of-freedom count, is noted but not derived. Casting the thermodynamic suppression of Dark Energy by matter as an interacting dark
energy model, the framework predicts a quintessence equation of state (w > −1) at all epochs. The perturbative
estimate gives w₀ ≈ −0.75; a companion osmotic-pressure derivation refines this to w₀ = −0.983. Both lie within current observational bounds and will be tested by Stage IV experiments.

References

[1] Weinberg, S. (1989). The cosmological constant problem. Rev. Mod. Phys., 61(1), 1–23.

[2] Cohen, A. G., Kaplan, D. B., & Nelson, A. E. (1999). Effective field theory, black holes, and the cosmological constant. Phys. Rev. Lett.,82(25), 4971.

[3] Landauer, R. (1961). Irreversibility and Heat Generation in the Computing Process. IBM J. Res. Dev., 5(3), 183–191.

[4] Hudock, C. (2026). Symbiotic Infodynamic Equilibrium: An Ontology-First Consolidation of the Framework, its Derivations, and its Empirical Status. Preprint. https://doi.org/10.5281/zenodo.19207037

[5] Fixsen, D. J. (2009). The Temperature of the Cosmic Microwave Background. Astrophys. J., 707(2), 916.

[6] Vopson, M. M. (2019). The mass-energy-information equivalence principle. AIP Advances, 9(9), 095206.

[7] Hudock, C. (2026). Objective Thermodynamic Collapse: Resolving the Quantum Measurement Problem via Infodynamic Bandwidth Saturation. Preprint. https://doi.org/10.5281/zenodo.19337535

[8] Planck Collaboration (2020). Planck 2018 results. VI. Cosmological parameters. Astron. Astrophys., 641, A6.

[9] Bousso, R. (1999). A Covariant Entropy Conjecture. JHEP, 1999(07), 004.

[10] Bekenstein, J. D. (1973). Black holes and entropy. Phys. Rev. D, 7(8), 2333.

[11] Li, M. (2004). A model of holographic dark energy. Phys. Lett. B, 603(1-2), 1.

[12] Gibbons, G. W., & Hawking, S. W. (1977). Action integrals and partition functions in quantum gravity. Phys. Rev. D, 15(10), 2752.

[13] Workman, R. L. et al. (Particle Data Group) (2022). Review of Particle Physics. PTEP, 2022(8), 083C01.

[14] Hudock, C. (2026). The Gompertz Universe: A Decay-Driven Cosmological Lifecycle from Information Capacity Bounds. Preprint. https://doi.org/10.5281/zenodo.19864791

[15] Hudock, C. (2026). Galactic Kinematics as a Test of the Symbiotic Infodynamic Equilibrium Framework: Rotation Curves, the Radial Acceleration Relation, and a Kinematic Constraint on H0. Preprint. https://doi.org/10.5281/zenodo.19830752

[16] Wetterich, C. (1995). The cosmon model for an asymptotically vanishing time varying cosmological “constant”. Astron. Astrophys., 301, 321–328.

[17] Amendola, L. (2000). Coupled quintessence. Phys. Rev. D, 62(4), 043511.

[18] Amelino-Camelia, G. (2002). Relativity in space-times with short-distance structure governed by an observer-independent (Planck-ian) length scale. Int. J. Mod. Phys. D, 11(01), 35–59.

[19] LHAASO Collaboration (2023). A TeV-band observation of the GRB 221009A. Science, 380(6652), 1390–1396.