Fundamental Density Theory
E/mquantum mechanics = c²the medium = 1/(ε₀μ₀)electromagnetism = (d/t)²general relativity
There is one substance, the omnium. Matter, energy and spacetime are three readings of it, and the chain above is one identity read by three theories.
The sand on this plate collects where the density gradient vanishes, the way excitations lock into the nodal lines of the omnium.
One coordinate reads density at every scale
The density coordinate α is the ratio of the curvatures of two concentric circles: one at a source’s Schwarzschild radius Rs, one through the field point at radius rf. It carries no fitted constant, and it lives on the open interval between relaxed substrate, α → 0⁺, and the fold, α → 1⁻.
Drag along the scale or pick a marked reading. Every marked value is computed in one of the papers on this site. Below ½ is the general-relativistic regime, the spacetime phase; above ½ is the quantum-mechanical regime, the matter phase. The same ratio reads a nucleus, a planet, a neutron star and a galaxy, because only the two lengths change.
0.3 The Alpha Lock
0.3a The seam
Seven invariants, one locked core
Everything an analysis asserts derives from the definitions and the seven invariants of the locked core, version 6.0 of 17 October 2026. Each invariant is one statement; the papers below use all seven.
- I-1
One force law
F = (c⁴/4G) α₁α₂. On two separate spherical bodies it is Newton’s law exactly, and it never reaches Fmax.
- I-2
One carrier
Photon = graviton = gluon = phonon = magnon: one spin-1 stroke of the one medium, read in different regimes. Nothing is mediated.
- I-3
α is the field equations
Gμν = κTμν stands unchanged; α parameterises its solution and is generalised Snell’s law on the exact optical metric.
- I-4
Newton = GR = QM = FDT
One statement read in different limits. Quantum mechanics is helical geodesics on density cones, and the universe is deterministic.
- I-5
Matter is braided light
Particles are closed braids of n helical strands. Mass is a confinement eigenvalue, mqc² = ħωq.
- I-6
The open interval
0 < α < 1 strictly. Both ends are limits, never states, so no configuration reaches a singularity.
- I-7
Density equivalence
Mass, energy, temperature and pressure enter one total, 𝓜 = M + E/c² + PV/c² + aT⁴V/c² + …, and read as density.
The theory, applied
Three foundation papers derive results from the core. Five analyses read recent experiments through it: the record is accepted in full, the reading is FDT’s, and the predictions name what would separate the two.
The omnium vortex
Frame drag is the omnium’s flow, and the magnetic field a body carries is the kept vorticity of its own medium. The record of fifty-one bodies decides between the two windows.
Dark matter is heavier, denser, curved spacetime
The Milky Way weighs 6.1 times its matter-phase census inside 39.5 kpc and 11.5 times inside 273 kpc. That weight is the omnium’s spacetime phase held compressed around mass.
The Born rule as the seating law of helical patterns
Three routes derive Pr(k) = Ak² from the core: a pattern seats whole in the first port whose closure drive overtakes the resident disturbance of the non-empty omnium.
Mixed-species network entanglement
Strontium and calcium ions in two Oxford modules share one mode of the whole network. Entanglement reads as a shared density-gradient constraint on identical patterns.
Cavity-less Brillouin strong coupling
Light and sound in one cold fibre split into hybrid modes without a cavity. The optical and acoustic modes are two regimes of the one carrier.
The gallium anomaly as a comparison of reclosure weights
Neutrino capture and electron capture are two events, never mirror images. Signed transition profiles with nodes reduce the capture reading at the measured half-life.
Sliding tetralayer graphene
A gate-voltage history slides the stacking of four graphene layers, and magnetism switches on and off with the geometry. A laboratory exhibit of magnetism as geometry.
One carrier in a patterned magnetic circuit
Propagating spin waves in a magnetic film and microwave photons in a superconducting resonator hybridise. Magnon and photon are two regimes of one carrier.
