Executive Summary
Fourth chapter establishes methodology framework for distinguishing truth from numerology. Following Popper's The Logic of Scientific Discovery — only falsifiable theories constitute scientific knowledge.
Requirements
| Requirement |
Priority |
Status |
| Popper's razor implemented |
P0 |
[ ] |
| Zero-free-parameter constraint ({φ, π, e}) |
P0 |
[ ] |
| Monte Carlo methodology defined |
P0 |
[ ] |
| Banks-Zaks null result as falsification channel |
P0 |
[ ] |
| 8 strongest formulas table vs CODATA 2022 |
P0 |
[ ] |
| Philosophical interlude (2-3 pages) |
P0 |
[ ] |
| Minimum 18-22 pages |
P0 |
[ ] |
Implementation Plan
Complete 7 sections defining methodology for testing Trinity framework predictions against experimental data.
Technical Details
Monte Carlo Protocol
Run 10^5 permutations testing random formulas against 256,000 search space.
Banks-Zaks Falsification
For N_f = 12 quark flavors: α_BZ = 0.754 ≠ φ⁻³/2 = 0.1180. Framework is testable.
Zero-Free-Parameter Argument
Only constants {φ, π, e} and integer exponents allowed. No fit parameters.
8 Strongest Formulas
Complete table comparing 42 strongest formulas to CODATA 2022 with relative errors.
Sources
- Popper, The Logic of Scientific Discovery — falsifiability
- Kuhn, The Structure of Scientific Revolutions — paradigms
- Banks-Zaks literature — null result
Deliverables
with complete methodology sections
Closes: #39
Executive Summary
Fourth chapter establishes methodology framework for distinguishing truth from numerology. Following Popper's The Logic of Scientific Discovery — only falsifiable theories constitute scientific knowledge.
Requirements
Implementation Plan
Complete 7 sections defining methodology for testing Trinity framework predictions against experimental data.
Technical Details
Monte Carlo Protocol
Run 10^5 permutations testing random formulas against 256,000 search space.
Banks-Zaks Falsification
For N_f = 12 quark flavors: α_BZ = 0.754 ≠ φ⁻³/2 = 0.1180. Framework is testable.
Zero-Free-Parameter Argument
Only constants {φ, π, e} and integer exponents allowed. No fit parameters.
8 Strongest Formulas
Complete table comparing 42 strongest formulas to CODATA 2022 with relative errors.
Sources
Deliverables
with complete methodology sections
Closes: #39