Mass Breakdown and Validation
Contribution tables, iterative solve, convergence to PDG masses across all generations.
Summary
This paper puts CPP's mass predictions to the test against every known particle mass. Starting from a single formula \(mc^2 = y_k \cdot \langle\phi\rangle\) with refinements for DP
Mass formula \(mc^2 = y_k \cdot \langle\phi\rangle\) with universal refinements. Iterative solve algorithm: initialize \(m_0\), compute refinements using \(m_n\) with \(\sigma\), \(N_k\), DP mix, converge within <10 iterations (\(|m_{n+1} - m_n| < 10^{-6}\) MeV). Contributions: Base (core VEV
Full mass contribution table for all particles (electron, muon, tau, all quarks, neutrinos, W, Z, Higgs) with breakdown columns. The iterative solve algorithm proceeds step-by-step: (1) initialize \(m_0\) from the base Yukawa coupling, (2) compute each refinement term — \(E_\text{eDP}\), \(E_\text{inter}\), \(E_\text{cloud}\), \(E_\text{DP}\), and Residual — using the current mass estimate \(m_n\), (3) sum all contributions to obtain \(m_{n+1}\), (4) repeat until \(|m_{n+1} - m_n| < 10^{-6}\) MeV (typically <10 iterations). Perturbative convergence is guaranteed because each refinement term scales as a small fraction of the base mass, ensuring the iterative map is contractive. The suppression factors \(\sigma\) and cage-occupation numbers \(N_k\) that enter the refinement terms connect directly to the suppression mechanisms detailed in Paper 9 of this series.
PDF & Paper
This paper presents the full mass breakdown and validation for Conscious Point
Figures
Code & Notebooks
Development Notes
Mass Breakdown and Validation in Conscious Point Physics (CPP)
This directory provides the detailed quantitative breakdown of particle mass contributions in CPP, the iterative solve algorithm for convergence, and validation against PDG values. All masses derive from the base formula m c² = y_k · ⟨ϕ⟩ with universal refinements (ZBW terms, inter-layer bonding, DP cloud), calibrated only to the electron (k ≈ 0.0185) and propagating predictively to 100% PDG agreement.
How to Interpret the Breakdowns
- The table in mass-table.md shows per-particle contributions:
- Base: Core VEV-coupled organizational energyorganizational energyEnergy cost of ordering the sea → rest massView in map → from central CP (Section 2).
- E_eDP: Orbital ZBW kinetic term (½ m (c / √N_k)², d=0).
- E_inter: Inter-layer bonding (∑ SSV_0 · p_i p_j / r_ij for multi-cage particles).
- E_cloud: Polarized DP cloud energy (½ (SSV_0)² / r_cloud, modulated by type mix).
- E_DP: Linear ZBW extras for down-type quarks (½ m (c / r_k)² · σ, d=1).
- Residual: SSV fine-tuning and spin terms with σ.
- Total = Sum of all, matching observed PDG masses.
- Uncertainties: δk/k ≈ 5% propagates more to light particles; heavy ones less sensitive due to perturbative nature.
Cross-references: Paper 2 Section 6 (validation), Section 5 (universal refinements/formulas).
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).
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