Kondrashov, Sergei
(2025)
Minimal Causal-Informational Model of Emergent Space-Time (MCIMES).
[Preprint]
Abstract
Quantum mechanics and general relativity require unified theoretical treatment, particularly regarding the cosmological constant’s observed value (≈ 10−123 in Planck units). This paper presents the Minimal Causal-Informational Model of Emergent Space-Time (MCIMES), which establishes quantum information as the fundamental entity underlying emergent space-time geometry. The model adopts quantum structural realism as its interpretive framework, implemented through rigorous category theory formalism. MCIMES is mathematically constructed on an abstract interaction graph, represented as a monoidal category CA with functorial mappings to physical observables. The system’s dynamics are governed by a variational principle of minimal information loss, expressible through natural transformations between functors.
The framework demonstrates how metric properties, Lorentzian signature, and causal structure emerge from quantum correlations without presupposing space-time. Topological invariants, particularly Betti numbers bp of the interaction graph, play a crucial role in quantifying universal properties of space-time fluctuations and thermodynamic behaviour. From this background-independent formulation, Einstein’s equations emerge in the continuum limit as the optimal configuration that minimizes information loss.
Quantitatively, MCIMES predicts a dark energy equation of state parameter w =
−0.97 ± 0.01, a cosmological constant value Λtheor = (1.9 ± 0.7) × 10−123, and black
hole entropy with logarithmic quantum corrections of the form
. The coefficient in the logarithmic term is topologically protected and
universal for four-dimensional space-time. These predictions are testable through next generation cosmological observations by 2030-2035 and analog quantum experiments. While the current model has limitations in connecting to the Standard Model and computational implementation, MCIMES provides a comprehensive information theoretic framework for quantum gravity with specific, falsifiable consequences.
| Item Type: |
Preprint
|
| Creators: |
|
| Keywords: |
quantum information; emergent space-time; background independence; information loss; entropic time; quantum structural realism; Lorentzian signature; causal structure; cosmological constant; category theory; monoidal categories; functorial mappings; natural transformations; interaction graph; tensor networks; Hilbert spaces; von Neumann entropy; mutual information; Betti numbers; topological invariants; variational principle; dark energy equation of state; logarithmic corrections to black hole entropy; 1/f noise spectrum; scalar-tensor correlations; quantum metric fluctuations; quantum corrections to Einstein's equations; minimal information loss principle; discrete covariance; thermodynamic limit; topological quantification; experimental testability; analog quantum experiments; loop quantum gravity; string theory; causal dynamical triangulations; asymptotic safety; holographic principle; AdS/CFT correspondence |
| Subjects: |
Specific Sciences > Physics > Quantum Gravity |
| Depositing User: |
Mr. Sergei Kondrashov
|
| Date Deposited: |
08 Apr 2025 14:31 |
| Last Modified: |
08 Apr 2025 14:31 |
| Item ID: |
25024 |
| Subjects: |
Specific Sciences > Physics > Quantum Gravity |
| Date: |
8 April 2025 |
| URI: |
https://philsci-archive.pitt.edu/id/eprint/25024 |
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