Results
Twenty MFT predictions across particle physics, gravity, and quantum field theory, organised by sector. Each card shows the prediction, the measured value (where applicable), and the agreement. From two MFT-specific inputs ($\beta$, $m_e$) and a derived sextic potential — every entry below.
Particle physics
Mass — calibration on $m_e$
Muon mass ratio
$m_\mu/m_e$ from the $n = 1$ Q-ball mode at $Z = 1$
P4
Mass — calibration on $m_e$
Tau mass ratio
$m_\tau/m_\mu$ from the metastable $n = 2$ Q-ball mode at $Z = 1$
P4
Mass — calibration on $m_W$
Z boson mass
$m_Z/m_W$ from the $n = 1$ vector mode at $Z = 9/5$
P4
Mass — calibration on $m_W$
Higgs boson mass
$m_H$ from the metastable $n = 2$ scalar mode at $Z = 9/5$
P4
Coupling — geometric ratio
Weinberg angle
$\sin^2\theta_W = 1 - (E_W/E_Z)^2$ from Q-ball eigenvalue ratio
P4
Derived identity
Pion decay constant
$f_\pi^2 = V''(\varphi_v)/4 = \delta = 1 + \sqrt{2}$ — silver ratio identity
P8
Mass
Neutral pion $\pi^0$
Lowest-energy mode at $Z = 0$ (no Coulomb binding)
P8
Derived identity
Sigma meson $f_0(500)$
$m_\sigma^2 = V''(\varphi_v) = 4 f_\pi^2 \Rightarrow m_\sigma = 2 f_\pi$
P8
Mass spacings
Hadronic decuplet
Equal spacing from SU(3) rotational quantisation of the $B = 1$ Skyrmion
P8
Derived identity — silver ratio at fourth power
Neutrino mass hierarchy
$\Delta m^2_{32}/\Delta m^2_{21} = \delta^4 - 1 = 16 + 12\sqrt{2}$
P8
Absolute masses from one-loop self-energy
Absolute neutrino masses
$m_{\nu, i} \propto \beta^2 |V(\varphi_i)|\, [\delta(\delta+2)]^{-3/4}$
P8
Structural — emergent
Spin-½ classification
Q-ball internal frequency $\omega^2/m_2$: fermions $\approx 0.93$–0.96, bosons $\approx 0.05$–0.07
P6
Structural theorem
Three families exist
Constrained Morse index: $m_{\text{phys}}(u_n) = \max(0, n-1)$
P3
Structural theorem
Fractional-charge confinement
$\pi_3(SU(2)) \cong \mathbb{Z}$ + finite-energy: only integer $B$ as asymptotic states
P7
Structural theorem
Photon masslessness
Massless transverse mode at $Z = 0, \ell = 1$ in the boson sector — no Coulomb binding
P9 · P11
Quantum field theory
Derived from Weinberg theorem
Electron $g$-factor
$g = 2$ from emergent Lorentz + FR-spin-½ + minimal coupling
P14
All-orders S-matrix equivalence
Electromagnetic form factor
$F_{\text{MFT}}(q) = F_{\text{QED}}(q) + \mathcal{O}(m_e^2/M_{\text{Pl}}^2)$
P14
Closed-form, no counterterms
3D one-loop effective potential
$V_{\text{1-loop}}^{(3D)}(\varphi) = -[V''(\varphi)]^{3/2}/(12\pi)$
P15
Gravity
Six-galaxy spiral fit
Galactic rotation curves
Halo profile shape derived from silver-ratio potential; 2 fit params per galaxy + 1 global $\beta$
P5
PPN parameters via Yukawa screening
Solar System tests
$\omega_{\text{BD}} > 40{,}000$ at $\beta \sim 10^{-4}$
P13
Cross-sector consistency
Same number, three regimes
Gravitational coupling $\beta$
Independent measurements from Solar-System, galactic, and neutrino sectors
P5 · P8 · P13
Same constant, 37 orders of magnitude
Silver ratio universality
$\delta = 1 + \sqrt{2}$ controls neutrino masses, leptons, hadrons, EW bosons, compact objects, halos, cosmology
P9 · P2
What would falsify MFT?
A scientific theory must be capable of being wrong. MFT makes specific structural commitments — not just numerical fits — that experimental discoveries could refute. The most important falsifiers:
A stable or singly-metastable fourth charged lepton
The Family-of-Three Theorem (P3) proves that any $u_n$ with $n \ge 3$ has $m_{\text{phys}} \ge 2$ — multiply unstable. A fourth charged lepton with phenomenology comparable to $e, \mu, \tau$ would refute the theorem and the entire MFT framework.
→ direct refutation of P3
An overlapping fermion–boson $\omega^2$ classification
The 14× gap between fermion $\omega^2/m_2 \approx 0.93$–0.96 and boson $\omega^2/m_2 \approx 0.05$–0.07 (P6) is structural, not coincidental. A new fundamental particle whose Q-ball internal frequency falls in the gap would refute the spin-classification mechanism.
→ refutation of P6
A free fractional-charge particle
The Confinement Theorem (P7) proves that no finite-energy soliton can carry fractional baryon charge — only integer-$B$ asymptotic states are admissible. Discovery of a free fractional-charge particle would refute the theorem.
→ refutation of P7
$f_\pi$ measured to deviate from $\sqrt{\delta} \times 119.67$ MeV
$f_\pi^2 = \delta$ at 0.03% (P8) is a parameter-free identity. A higher-precision measurement of $f_\pi$ revealing a deviation beyond this 0.03% margin would refute the chiral-stiffness closure.
→ refutation of P8 chiral closure
$\Delta m^2_{32}/\Delta m^2_{21}$ measured to deviate from $\delta^4 - 1$
The neutrino hierarchy ratio $\delta^4 - 1 \approx 32.97$ is a parameter-free prediction (P8) at $\delta^4$ — fourth power of the silver ratio. A measurement deviating beyond the current 1.2% margin would refute the V² splitting mechanism.
→ refutation of P8 hierarchy
Galactic halo profiles incompatible with the silver-ratio shape
The MFT halo profile shape is derived from the SBR theorem (P5), not fitted. A galaxy whose rotation curve cannot be reproduced by any choice of two parameters $(\Upsilon, \rho_{\text{scale}})$ within the silver-ratio profile family would refute the structural prediction.
→ refutation of P5 mechanism
Cassini-class violations of $\omega_{\text{BD}} > 40{,}000$
MFT requires $\omega_{\text{BD}} > 40{,}000$ in the Solar-System regime (P13) at $\beta \sim 10^{-4}$. A higher-precision measurement revealing $\omega_{\text{BD}}$ below this bound would force $\beta$ to a value incompatible with the galactic and neutrino fits.
→ refutation of $\beta$ universality
Detection of a fundamental particle with non-trivial $\ell = 2$ shear coupling
MFT's mode-counting argument for $Z_{\text{boson}} = 9/5$ (P8) assumes the $\ell = 2$ shear sector contains no fundamental particles — only the $\ell = 0, 1$ modes appear. Discovery of a fundamental spin-2 quantum (graviton aside) would refute the SO(3) decomposition.
→ refutation of $Z_{\text{boson}}$ derivation
Time variation of $\alpha_{\text{EM}}$
Under $\varepsilon(\varphi) = 1$ (P9), the fine-structure constant is automatically constant in space and time. Detection of variation of $\alpha_{\text{EM}}$ across cosmic time at the part-per-million level or below would force $\varepsilon \neq 1$, opening up problems in the cosmology and neutrino sectors.
→ refutation of $\varepsilon = 1$
Astrophysical evidence of black-hole singularities
MFT predicts no curvature singularity at the centre of a black hole — $\varphi$ saturates at the elastic ceiling $\varphi_v$ (P13). Astrophysical signatures (gravitational-wave merger templates, accretion-disk models, horizon-scale imaging) revealing a true singularity would refute the saturation mechanism.
→ refutation of P13 saturation