Pattern Field Theory (PFT) — Evidence & Model Comparison
A rigorous, living scorecard for weighing PFT against QFT, GR, and alternatives using Bayesian model comparison. Edit the evidence below; the odds update instantly.
Case for PFT
Case against others
Pi Boot & Pi Tests
Transparent math
Quick Posterior (PFT vs Not-PFT)
Posterior P(PFT | D): 99.9857%
Odds (to 1): 6943×10^0:1
Binary case: O₀ = p/(1−p), Posterior = (O₀·B)/(1+O₀·B)
Case for Pattern Field Theory
- Zero → Something: PFT starts at genuine zero (pure potential), with Pi as the boot protocol instantiating curvature and recurrence.
- Time emergence: Time is field-local and emerges from recursive pattern formation.
- Fractal & prime scaffolding: Accounts for structural recursion across scales.
- “Why these laws”: Laws/constants are outputs of the boot + field dynamics.
- Unified lens: Routes to GR-scale curvature and QFT-scale quanta as field-local patterns.
Evidence Scorecard (edit LRs when new data arrives)
Enter likelihood ratios (LR = P(data|Model)/P(data|Baseline)). Keep tests independent where possible.
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Model Priors
Locked at hostile prior (can edit if you want).
Combined Likelihood (product of LRs)
L(PFT|D) ∝ 2.44e+10
L(QFT|D) ∝ 1.27
L(GR|D) ∝ 8.71
L(Other|D) ∝ 0.60
Unnormalized evidences from the scorecard (assuming independence).
Posterior Probabilities
P(PFT|D)
99.9857%P(QFT|D)
0.0017%P(GR|D)
0.0118%P(Other|D)
0.0008%Case against the Others (Summary)
Quantum Field Theory (QFT)
- Brings: Predictive power for particle interactions; renormalizable gauge theories; the Standard Model.
- Limits: No “why” for fields/couplings; hierarchy & naturalness problems; no gravity unification; dark energy as a constant.
General Relativity (GR)
- Brings: Gravity as geometry; lensing, time dilation, gravitational waves (confirmed).
- Limits: Classical singularities; no quantum integration; adds dark matter/energy phenomenologically; does not derive constants.
Other Frameworks
- Brings: Mathematical richness (strings, loops, etc.).
- Limits: Often start with pre-existing entities; landscape/measure issues; few unique, confirmed predictions beating GR+QFT.
Pi Boot & Pi Tests — Odds Calculator
Two routes: (A) direct likelihood ratio (LR) or (B) p-value → LR mapping.
A) Direct Likelihood Ratio
P(PFT | Pi-data): —
Odds: —
B) Map p-value to LR (rough)
Approx LR ≈ (1−β)/p (conservative when only a p-value is available).
Axiom Notes (for publication)
- Axiom — Pi as Boot Protocol: At zero state (pure potential), the first executable is curvature logic encoded by Pi.
- Axiom — Seed Intelligence Requirement: An initial insertion must carry embedded instruction to evolve structure; finite objects without logic remain inert.
- Axiom — Recursive Upgrade (PRUP): Each universe instantiation constitutes a call to the Pi-protocol; cumulative coherence across instantiations functions as an upgrade log.