Gravity

OpenOPEN ontology — Doctrine v1.1.4. Not a name, not a horizon, not the electron S³.

Unnamed R_eff

Laboratory constants plus the published Mach book infer a length. Its physical ontology is unresolved.

Last updated: 25 August 2026

Reading this entry

Laboratory constants plus the published Mach book infer the length R_eff ≈ 3.28×10²⁶ m, about 10.6 Gpc, and the page carries that length unnamed. Inverting R_eff = √6 c/H₀ on the same book returns H₀ ≈ 68.97, the M13 dual of the placed splice.

What this is used for

Use this page for the inferential formula R_eff = α·(3/8)·ℏ²/(G·m_e²·m_p), for the dual H₀ ≈ 68.97, and for the geometric eigenvalue ω₂ = √6 c/R carried with the modelled lock ω₂ = H₀.

Walk through

Before any Hubble dual, mixed-mass closure with k₁ = 3/8 reads R_eff = α·(3/8)·ℏ²/(G·m_e²·m_p) ≈ 3.28×10²⁶ m, about 10.6 Gpc. Inverting R_eff = √6 c/H₀ returns H₀ ≈ 68.97, the M13 dual of that length. An FLRW translation written beside this length is Ω_k = −1/6, and expansion at H₀ makes |Ġ/G| = H₀ equal to 928 times the quoted lunar-laser half-width for both G ∝ 1/R and G ∝ R at fixed mass. The spin-2 eigenvalue is ω₂ = √6 c/R, recorded as geometry, and the lock ω₂ = H₀ stays [M]. The electron comparison is Compton/R_eff ∼ 10⁻³⁹, and the page carries R_eff as this inferred unnamed length.

Before any Hubble dual, mixed-mass closure with the Green-book value reads

About 10.6 Gpc. Inverting R_eff=√6 c/H₀ returns H₀≈68.97 — the M13 dual, not a second derivation.

What it cannot currently be called

FLRW curvature radius — implies , rejected as a CMB statement.
Expanding S³ scale factor — if the radius expands at , then is 928 times the quoted lunar-laser half-width (M12), for and for at fixed mass. A stationary container does not write .
Theorem-grade spin-2 coherence length — the eigenvalue is geometry [E]; the lock is not derived.
Particle or event horizon — no identification banked.
The electron's — Compton / , not . Present fails as independent F2 .

Correct posture

Live with unnamed . Any new proposal must explain both stationarity and the ~√6 Hubble match together. Do not mint from this length.

Source Documents

The primary research documents underlying this page. All files are freely viewable and downloadable. They represent the working research as written — including integrity tags, equations, and finding IDs.

Documents open in the CPT Research Library — a formatted viewer for all source research files.