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)

Prior P(PFT): Evidence factor B = Π LRᵢ:

Posterior P(PFT | D): —

Odds (to 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 values)

Enter likelihood ratios (LR = P(data|Model)/P(data|Baseline)). Keep tests independent where possible.

#	Test / Evidence	Group	LR: PFT	LR: QFT	LR: GR	LR: Other	Include

Model Priors

Edit and click “Normalize”.

P(PFT): P(QFT): P(GR): P(Other):

Combined Likelihood (product of LRs)

L(PFT|D) ∝ 1

L(QFT|D) ∝ 1

L(GR|D) ∝ 1

L(Other|D) ∝ 1

Unnormalized evidences from the scorecard (assuming independence).

Posterior Probabilities

P(PFT|D)

—

P(QFT|D)

—

P(GR|D)

—

P(Other|D)

—

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

LR (PFT vs Null):

Prior P(PFT):

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).

p (Null): Power (1−β):

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.