Monistic Field Theory
A unified field theory in which matter and space are not separate entities — both are configurations of a single three-dimensional elastic medium. From a derived sextic potential and two MFT-specific inputs, the framework produces three particle generations, all masses to sub-percent accuracy, the Weinberg angle, the pion decay constant, the neutrino mass hierarchy, galactic rotation curves, cosmological expansion without $\Lambda$, and emergent Lorentz invariance — all related by the silver ratio $\delta = 1 + \sqrt{2}$.
The single claim
Matter and space are not separate entities. What we call "matter" is space in a state of localised contraction. What we call "empty space" is the same medium in its relaxed state.
Everything in MFT follows from this. Particles are localised contractions (solitons). Galactic halos are extended contraction profiles around baryonic matter. Cosmological expansion is the relaxation of the medium in low-density regions. Gravity is the metric response of the medium to local contraction. Electromagnetism is a directional polarisation mode of the same medium.
There is no separate substance for matter and no separate substance for spacetime. The contraction field $\varphi(\mathbf{x})$ describes the local state of the one underlying medium.
What it produces
From two MFT-specific inputs — the gravitational coupling $\beta$ and the energy calibration $m_e$ — and a sextic potential whose shape is forced by the Symmetric Back-Reaction theorem, MFT produces:
Derived identity
Pion decay constant
$f_\pi^2 = V''(\varphi_v)/4 = \delta = 1 + \sqrt{2}$
Derived identity
Neutrino mass hierarchy
$\Delta m^2_{32}/\Delta m^2_{21} = \delta^4 - 1 = 16 + 12\sqrt{2}$
Mass ratio
Weinberg angle
$\sin^2\theta_W = 1 - (E_W/E_Z)^2$ from Q-ball ratio
Structural theorem
Three families of matter
Constrained Morse index admits exactly three admissible Q-ball modes
Six-galaxy spiral fit
Galactic rotation curves
Halo profile shape derived from silver-ratio potential — not assumed
All-orders S-matrix equivalence
Electron form factor
$F_{\text{MFT}}(q) = F_{\text{QED}}(q) + \mathcal{O}(m_e^2/M_{\text{Pl}}^2)$
These are six of twenty headline results across particle physics, gravity, and quantum field theory. The full Results dashboard →
The silver ratio
The number $\delta = 1 + \sqrt{2} \approx 2.414$ — the silver ratio — appears in fourteen independent manifestations across MFT. It is not chosen. It is the unique fixed point of the gravitational self-consistency condition: the only algebraic number for which the elastic medium's own gravitational back-reaction leaves its potential landscape invariant.
The same constant governs physics across 37 orders of magnitude in mass: from neutrinos at $\sim 10^{-2}$ eV to galactic halos at $10^{12}\,M_\odot$. The pion decay constant equals $\delta$. The neutrino mass hierarchy ratio is $\delta^4 - 1$. The vacuum stiffness ratio is $4\delta$. The barrier-to-vacuum energy ratio is $1/\delta^2$. Every one of these is an algebraic consequence of a single condition $\lambda_4^2 = 8 m_2 \lambda_6$ on the potential.
Two inputs
The Standard Model has roughly 19–25 free parameters; $\Lambda$CDM adds another six. MFT operates with two MFT-specific inputs:
- $\beta \approx 1.016 \times 10^{-4}$ — the gravitational coupling. Fixed by Solar-System tests. The same $\beta$ produces galactic halos ($\Sigma\chi^2/\text{dof} = 1.17$) and absolute neutrino masses (best-fit $\beta = 1.016 \times 10^{-4}$, agreement with galactic fit to 1.6%).
- $m_e = 0.511$ MeV — the electron mass. A single energy-scale anchor for all of microphysics.
Everything else — the potential parameters, the silver ratio, the sector Coulomb couplings $Z_{\text{lep}}, Z_{\text{down}}$, the coupling function $F(\varphi) = F_0 e^{\beta\varphi}$, all the mass predictions — is derived.
Where to start
The site is organised around different reader paths. Pick the entry point that matches what you're looking for:
Status
The 16 papers (P0–P15) are published on Zenodo under the always-current corpus DOI 10.5281/zenodo.19343255. MFT is presented as a candidate framework with concrete, falsifiable predictions across multiple sectors. Three open problems define the current frontier:
- The PMNS mixing matrix (mechanism known, extraction in progress)
- Quantitative cosmological fitting and the Hubble tension
- SU(3) colour selection from elastic mode-counting
Several earlier open problems have been resolved in the corpus: spin-½ classification (P6), renormalisability (P15), the pion decay constant (P8), neutrino masses (P8), and the coupling function $F(\varphi)$ (P2). See the falsifiability section for what experimental discoveries would refute the theory.
Author
MFT is the work of Dale Wahl, an independent researcher. Correspondence: drwahl6913@gmail.com.
Source code for this site, all numerical scripts, and LaTeX sources for every paper are available on GitHub. The site is hosted as static GitHub Pages content; corrections, suggestions, and feedback are welcome via email or GitHub issues.