Results

What the framework gets right, the prediction that could prove it wrong, and what is still open.

What it reproduces

Gravity. Light bending 1.752″ and the Shapiro delay match (resistance with equal time and space shares). A scalar resistance gives 0″ and a time-only resistance gives 0.876″, so both are excluded. The area law holds in the crossing-wave medium (boundary fit 5× better than volume).
Compact objects. With B taken from the proton and the outward push from the measured strong-force strength (a₄ = 1 − 2α_s/π), the strong force alone gives a heaviest star of only 1.54 to 1.80 M☉, which fails. Adding quark pairing (colour superconductivity) with a gap of 70 to 90 MeV gives M_max = 2.00 to 2.18 M☉, R₁.₄ = 10.8 to 11.5 km and Λ₁.₄ = 440 to 570, which passes both GW170817 (Λ₁.₄ below about 580) and the 2-solar-mass pulsars. (The simpler bag-only form also passes: B = 54 gives 2.07 M☉ and Λ₁.₄ = 550; B = 62 to 70 with a weak wall term gives 2.06 to 2.17 M☉ and Λ₁.₄ = 288 to 400.) The Buchdahl limit of 8/9 marks the switch from under- to over-contained. The ringdown matches Kerr (250 Hz, 4.0 ms), and no echoes are predicted.
The proton. As a bag in containment balance with a pion cloud (its leakage), the proton's quark core has an rms radius of 0.725 fm. The measured pressure inside the proton (JLab 2018) shows the containment balance directly.
Leptons. Three masses from one scale (0.003% accuracy). The shared and relational parts are equal (941.55 MeV each, within 0.35% of the proton mass). Already known, and consistent: the Cabibbo relation √(m_d/m_s) = 0.2242 against 0.2243 measured (Gatto, Sartori and Tonin, 1968).
Cosmology. The contents sum to 100%, giving a flat universe and an age of 13.79 Gyr. The compactness of the Hubble sphere is 1. The dark-energy scale (2.24 meV) lies inside the predicted neutrino mass range.
Quantum structure. Uncertainty is a wave theorem (ΔxΔk = ½). Once the number of colours is known (3, measured), anomaly cancellation fixes the charges at 2/3 and −1/3. Already known, and consistent: the tau lifetime from the muon's, τ_τ = τ_μ · BR · e^{−10S} = 289.7 fs (measured 290.3), which is Fermi's lepton universality written in relational form.

Prediction

Neutrinos. Neutrinos follow the same relational rule as the charged leptons. The rule requires normal ordering, with m₁ = 0.36, m₂ = 8.7 and m₃ = 50.1 meV (sum 0.0592 eV). Inverted ordering is excluded because its sum of at least 0.10 eV exceeds the DESI bound. Note that the sum is only just above the smallest sum normal ordering allows (0.0588 eV), so the distinctive number is the lightest mass, 0.36 meV, which uses one negative square root (as in Brannen's form). JUNO's ordering measurement, or a sum clearly different from 0.059 eV, would falsify this part of the framework.

Quark pairing. Neutron stars need a quark pairing gap of 70 to 90 MeV when B is taken from the proton. Theory estimates 50 to 150 MeV; it has not been measured. A firm gap outside this band (from lattice or effective-theory work, or from neutron-star cooling and mergers) would falsify this part.

Open problems

Quark masses. All six were run to a common scale. The balance angles are scale-independent: 52.15° (up-type) and 48.06° (down-type), against 45° for the leptons. One pattern was tested and dropped: link strengths of 3/6, 4/6 and 5/6 miss the data by about 7 standard deviations. The quark masses stay measured inputs.
Force groups. U(1) × SU(2) × SU(3) match the division algebras (Hurwitz; Dixon; Furey; Connes–Chamseddine). TRPG must show its medium carries the ℂ ⊗ ℍ ⊗ 𝕆 internal structure.
The twist. Derive δ = 2/9; the current conjecture is (2/3)/3.

Scorecard

7 PASS: gravity (resting on Jacobson's argument), conservation, cosmos, checkability (24 of 24 scripts rerun), falsifiability (neutrinos and the pairing gap), consistency, and one written equation (the action above, written out in full).
2 PARTIAL: the force groups (chosen, not derived; 3 colours is measured), and fewer inputs (fewer than the Standard Model by 3, but the quark masses are still measured).
The tally was checked line by line on 14 November 2026. No known measurement contradicts the framework.