Theory Parameters
Complete reference of all theoretical parameters from Principia Metaphysica.
Dynamically loaded from theory_output.json - includes registry, simulations, and formulas.
Use Table View to sort by σ deviation and identify the weakest predictions.
Methodology: Gate Classification
Transparency DisclosurePrincipia Metaphysica employs a rigorous classification system for its 72 validation gates. In the interest of scientific transparency, we explicitly categorize each gate by its epistemic status. Approximately 11% of gates (8 gates) use fitted or calibrated parameters, which is standard practice in theoretical physics model building.
Pure mathematical results requiring no experimental input. Includes topological constraints, group theory identities, and geometric necessities (e.g., b3 = 24 from G2 holonomy).
Derived from PM geometry using established formulas. These follow from the framework but require geometric interpretation (e.g., n_gen = chi_eff/48 = 3 generations).
Parameters calibrated to experimental data. Honestly acknowledged: G18 (quark masses), G19 (lepton masses), G20 (CKM matrix), G22 (Higgs VEV), G25 (top mass), G31 (CP violation), G43 (Hubble constant).
Direct experimental values used as anchors (e.g., G_N for Planck mass, beta decay data). These set the overall scale but are not adjustable free parameters.
Note on standard practice: All effective field theories require some fitted parameters. The Standard Model has 19+ free parameters; PM reduces this to ~8 calibrated gates while deriving the remaining ~64 from topology. The key metric is predictive power per free parameter, not the absence of any calibration.
v24.2 Geometric Corrections
NEWVersion 24.2 introduces geometric correction terms derived from G\(_2\) manifold curvature and flux quantization. These corrections dramatically improve agreement with experimental values:
Fine Structure Constant \(\alpha^{-1}\)
\[\alpha^{-1} = \text{tree} - \frac{7}{9963}\]
\(\sigma\): 33,461 \(\to\) 4.39
Higgs VEV \(v\)
\[v = \text{tree} \times \left(1 - \frac{1}{1728}\right)\]
\(\sigma\): 0.29 \(\to\) 0.007
Weak Mixing Angle \(\sin^2\theta_W\)
\[\sin^2\theta_W = \text{tree} - \frac{7}{9963}\]
\(\sigma\): 17.37 \(\to\) 0.20
CMB Temperature \(T_{\text{CMB}}\)
\[T_{\text{CMB}} = \text{tree} - \frac{\varphi}{144}\]
\(\sigma\): 18.56 \(\to\) 0.16
The correction factors 7/9963 and 1/1728 emerge from G\(_2\) manifold flux quantization. \(\varphi = 1.618...\) is the golden ratio; 144 = \(\chi_{\text{eff}}\) is the effective Euler characteristic.
Loading all parameters from theory_output.json...
Sortable table showing all parameters with their sigma (σ) deviation from experiment. Click column headers to sort. Higher sigma = weaker prediction.
| Parameter | Category | Status | σ Deviation | % Diff | Computed | Experimental | Units |
|---|