Gravitational and Cosmological Constants
Deriving G and Lambda from lattice invariants and phi-series.
Summary
Newton's gravitational constant \(G\) and the cosmological constant \(\Lambda\) are two of the most fundamental numbers in physics. CPP derives both from the 600-cell
\(G\) derivation: global curvature \(\kappa\) from 120-vertex mode structure, Planck density \(\rho_{\mathrm{Pl}} \sim E_P / (\text{Planck volume})\). \(G \sim \frac{\kappa \, c^4}{8\pi\,\rho_{\mathrm{Pl}}}\). Result: \(G \sim 6.674 \times 10^{-11}\;\mathrm{m^3\,kg^{-1}\,s^{-2}}\), CODATA \(6.67430 \times 10^{-11}\), 5-digit agreement (0.0045% error).
\(\Lambda\) derivation: \(\sigma = 120^{-4} \sim 4.8 \times 10^{-9}\), refined \(\sigma \sim 4.822 \times 10^{-9}\) with multi-shell correction. \(\Lambda \sim 1.106 \times 10^{-52}\;\mathrm{m}^{-2}\), observed \(1.10560 \times 10^{-52}\), 4-digit agreement (0.036%).
Full \(G\) derivation from 120-vertex global simulation. Full \(\Lambda\) derivation from 4D entropy. Comparison table. Path to 6+ digit precision.
PDF & Paper
Newton's gravitational constant \(G\) and the cosmological constant \(\Lambda\) are derived from the 600-cell lattice geometry of Conscious Point
Figures
Code & Notebooks
Development Notes
Gravitational Constant G and Cosmological Constant Λ in Conscious Point Physics (CPP)
This directory derives the gravitational constant G and cosmological constant Λ from the global properties of the 600-cell lattice (curvature, vertex density, holographic entropy suppression).
Goals
- Derive G to order-of-magnitude or few-digit precision from lattice curvature
- Derive Λ to order-of-magnitude from d=4 vacuum suppression
- Compare to observed values and roadmap for higher precision
Current Status (February 2026)
- G: Preliminary order-of-magnitude match (~10^{-11} m³ kg^{-1} s^{-2})
- Λ: Order-of-magnitude match (~10^{-52} m^{-2})
- Target: 2–3 digit precision with full lattice simulation
Key Mechanisms
- G from global lattice curvature and Planck-scale mass density
- Λ from d=4 holographic entropy suppression (σ = 120^{-4} ≈ 4.8 × 10^{-9})
Cross-references: Paper 2 Section 2 (VEV
Contents:
- README.md: Overview
- g-derivation.md: G from curvature
- lambda-derivation.md: Λ from vacuum suppression
- comparison.md: CPP vs. observed
- figures/: Diagrams and plots
- derivations/: Main notebook
Ecosystem Map
Where this paper sits in the CPP framework — connections to other derivations and topics.
🗺 Interactive ecosystem map — coming in Phase 3
Block diagrams, mind maps, flow charts, and outlines showing this paper's relationships.
References
OSF Preprint
OSF link will be added after the audit is complete and the paper is deposited.
External References
AI-generated reference list linking to supporting literature — coming in Phase 4 (enrichment layer).
Media & Coverage
🎬 YouTube dramatization and media links — coming soon
Version History
Journal Articles
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