Gravity

OpenThe expanding G∝1/R reading is ruled out by the quoted bound. G remains an input. The join of the coasting profile to the stationary radius stays open.

Varying G — The M12 Bound

If G∝1/R and that radius expands at H₀=68.973, then Ġ/G=−7.054×10⁻¹¹ yr⁻¹. That rate is 928 times the quoted Müller half-width 7.6×10⁻¹⁴ yr⁻¹. A stationary container does not write Ġ=0.

Last updated: 19 October 2026

Reading this entry

The varying-G page keeps the placed Genesis splice, evaluated at CODATA G, and then scores the expanding reading G ∝ 1/R. With Ṙ/R = H₀ the algebra gives Ġ/G = −H₀ = −7.054×10⁻¹¹ yr⁻¹, a factor 928 above the quoted Müller half-width.

What this is used for

Use this page to carry the placed splice into a rate, to compare Ġ/G = −H₀ with 7.6×10⁻¹⁴ yr⁻¹, and to read the lunar and astronomical-unit figures that sit beside a stationary container with Ṙ₀ = 0.

Walk through

The page writes the placed splice G = (3α)/(8√6) × ℏ² H₀ / (c m_e² m_p). At CODATA G, named as K = c⁴/G, the evaluation is 68.973054 on codata_2022 and 68.9730537 on codata_2018; printed 68.97305 is that rounding, and baseline 68.973 with the coefficient 3/8 stay [P]. If G ∝ 1/R with Ṙ/R = H₀, then Ġ/G = −H₀ = −7.054×10⁻¹¹ yr⁻¹, a ratio 928 to 7.6×10⁻¹⁴ yr⁻¹, while G ∼ c²R/M_U has Ġ/G = +Ṙ/R. With Ṙ₀ = 0 the container sits off the Hubble flow. The cited lunar residual is (3.83±0.04) − (3.82±0.07) = 0.01±0.08 cm yr⁻¹, beside naive drifts of 2.712 cm yr⁻¹ and 10.55 m yr⁻¹ against the ceiling 0.0015 m yr⁻¹, factor 7035.

The placed splice

The relation that emits from laboratory , or from , is the placed splice [M packaging]. At CODATA , named as , the evaluation is 68.973054 km s⁻¹ Mpc⁻¹ on codata_2022 and 68.9730537 on codata_2018 [E algebra]. The printed 68.97305 is that rounding. The emitted Hubble number and the coefficient 3/8 stay [P]. remains that input. The formula is not a derivation of a varying .

Placed splice [M packaging]. Evaluation [E algebra]. Not a mint of laboratory G.

The expanding reading

If and , then .

[E algebra] of the baseline and the quoted Müller half-width.

That expanding reading is ruled out by the quoted bound. The monomial with fixed has the opposite sign, . Both monomials are unpaid.

What a stationary container does

keeps the leftover container off the Hubble flow. It does not write , because is an input. The lunar residual of the cited figures is minus cm yr⁻¹, which is cm yr⁻¹. A naive Hubble drift of the Moon is 2.712 cm yr⁻¹. A naive Hubble drift of the astronomical unit is 10.55 m yr⁻¹, against a quoted ephemeris ceiling 0.0015 m yr⁻¹, a factor 7035. Those comparisons use the cited numbers. They do not compute a new CPT drift.

Inside a time-independent refractive index the orbital scale rate is zero at every radius. The depth of the Earth or the Moon inside a vacuole radius does not write that rate. The join of the coasting profile to the stationary radius stays open.

Status

M12 rules out against the quoted lunar-laser half-width. The stationary lock does not enforce . Hole 5 stays open. No token.

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