Four inputs. Zero free parameters.
61 orders of magnitude.

The STF is a ghost-free scalar-tensor field derived entirely from theoretical first principles. It couples to the rate of curvature change — not curvature magnitude — placing it in the DHOST Class Ia family. Every prediction follows from the Lagrangian and two derived constants.

I
General Relativity
The Peters formula provides orbital dynamics of compact binary inspirals. The curvature rate 𝒟GR = Ṙ/c² along the binary worldline is computed from GR alone.
→ Orbital dynamics, threshold scale
II
Ghost-freedom
DHOST Class Ia uniquely selects the coupling form ζ/Λ · φS(nμμℛ). Gravitational wave speed cT = c follows from G4X = 0, independently of the coupling.
→ Lagrangian structure fixed
III
Cosmological threshold
The condition 𝒟crit = 𝒟GR, combined with the Compton relation and the characteristic chirp mass Mc = 18.54 M from 10D structure, derives ms uniquely.
→ Field mass ms = 3.94 × 10−23 eV
IV
10D compactification
Gauss-Bonnet breathing-mode reduction on CICY #7447/Z10 (Appendix O of First Principles) derives the coupling constant ζ/Λ through the 50π geometric coefficient: 5 × 10 × π.
→ ζ/Λ = 1.35 × 1011
Field mass ms = 3.94 × 10−23 eV Cosmological threshold  →  τ = ℏ/msc² = 3.32 years
Curvature coupling ζ/Λ = (1.35 ± 0.12) × 1011 10D Gauss-Bonnet compactification (Appendix O)
Activation threshold 𝒟crit = ms · MPl · H0 / 4π² 4π² proved topologically — Hopf torus cup product [Null Cone V0.8, §7]
Activation radius 730 RS before merger T = 3.32 years for Mc = 18.54 M

Every paper on this site is a direct mathematical consequence of the Lagrangian and the two constants above.

First Principles V7.4
8,200 lines  ·  26 appendices  ·  Complete derivation chain
GR → Lagrangian → ms → ζ/Λ → SM constants → EXISTS/HAPPENS
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