Physics has approximately 26 “fundamental” constants. Nobody knows why they have the values they have. In HAQUARIS, there is only ONE truly fundamental constant — the Fedeli Constant \(\mathcal{F}_C\). All others are derived from it and from dodecahedral geometry.
1. The Fedeli Constant
The minimum quantized circulation in Space. All vortices have \(\Gamma = n \cdot \mathcal{F}_C\).
\(\mathcal{F}_C\) does not measure energy, mass, time, or length. It measures STRUCTURE: the minimal topological cell through which Space can close upon itself.
2. The Five-Level Hierarchy
Level 0: The Foundation
\(\mathcal{F}_C\) — the only truly fundamental constant. Everything else derives from it.
Level 1: Geometric Pure Constants
| Constant | Value | Origin |
|---|---|---|
| \(N_\alpha\) | 136.757 | Dodecahedral Seal \((2\pi)^2\sqrt{12}\) |
| \(\pi\) | 3.14159… | Circular geometry |
| \(\varphi\) | 1.618034… | Pentagon (from \(p = 5\)) |
| \(\sqrt{2}, \sqrt{3}\) | — | Dimensional projections |
Level 2: Derived Physical Constants
| Constant | Meaning | Derivation |
|---|---|---|
| \(\alpha\) | Fine-structure constant | \(1/N_\alpha\) + dodecahedral correction |
| \(c\) | Speed of light | Space elasticity = \(\sqrt{K_\text{Space}/\rho_\text{Space}}\) |
| \(\hbar\) | Planck constant | \(\mathcal{F}_C \cdot m_e\) (NOT fundamental!) |
| \(m_e\) | Electron mass | Minimum stable vortex mass |
| \(G\) | Gravitational constant | \(\kappa/(4\pi\rho_0)\) — emergent |
Level 3: Conversion Constants
\(k_B\), \(e\), \(\varepsilon_0\) — unit conversions, not fundamental physics.
Level 4: Composite Constants
Stefan-Boltzmann, Bohr radius, Rydberg — all combinations of Level 2 constants.
3. The Universal Exponent Formula
where \(\sigma = \pm 1\) and \(\tau \in \{-1, 0, +1\}\)
| Constant | \(\sigma\) | \(\tau\) | Exponent | Error |
|---|---|---|---|---|
| \(\hbar\) | +1 | 0 | 9.0773 | 0.003% |
| \(m_e\) | −1 | −1 | 8.7506 | 0.005% |
| \(G\) | −1 | +1 | 8.6370 | 0.01% |
Three constants, three values of \((\sigma, \tau)\). All from the same formula.
4. Light Speed: Why \(c\)?
Like the speed of sound in a medium: determined by stiffness over density.
\(c\) is NOT a universal speed limit for everything. It is the limiting velocity of reorganization of Space. Space itself can move faster than \(c\) — only particles (configurations of Space) cannot.
5. Planck Constant: Not Fundamental
Product of topological circulation and minimum vortex mass. NOT fundamental — it is composite.
6. Gravitational Constant: Emergent
From this, \(G = \hbar c / M_P^2\). The gravitational constant is the ratio between drainage coupling and Space equilibrium density — an emergent quantity, not a fundamental one.
7. The Structural Constant K = 300
Governs Space resistance to deformation. Determines Mercury’s precession with 0.00003\(\sigma\) precision.
8. The Scorecard
| Prediction | Accuracy |
|---|---|
| \(\alpha^{-1}\) | 0.39 ppb |
| \(\hbar\) exponent | 0.003% |
| \(m_e\) exponent | 0.005% |
| \(G\) exponent | 0.01% |
| Muon mass | 5.7 ppm |
| Tau mass | 8.6 ppm |
| Proton mass | 18.8 ppm |
| W boson mass | 5.8 ppm |
| \(\sin^2\theta_W = 3/13\) | 0.19% |
| CMB temperature | 0.004% |
One constant. One geometry. All of physics.
The Fedeli Constant is to HAQUARIS what the speed of light is to relativity — except that \(c\) is derived from it.