schwarzschildRadius
plain-language theorem explainer
schwarzschildRadius supplies the classical horizon radius formula inside the Recognition ledger model. It is invoked by entropy and area calculations in the UltramassiveBH and BekensteinHawking modules. The body is a one-line arithmetic definition that substitutes the supplied G_Newton and c = 3e8. Researchers computing black-hole horizon properties from ledger density cite it directly.
Claim. The Schwarzschild radius for mass $M$ is $r_s(M) = 2 G M / c^2$, where $G$ is Newton's gravitational constant and $c$ is the speed of light.
background
The RRF module treats gravity as ledger curvature: mass equals transaction density per volume and curvature equals constraint pressure. The definition references G_Newton, the Newtonian constant fixed at 6.674e-11. Upstream results include the neighborhood radius from CellularAutomata and the RS-native Schwarzschild radius in UltramassiveBH that omits the explicit $c^2$ denominator.
proof idea
The definition is a direct one-line arithmetic expression. It multiplies twice G_Newton by the input mass and divides by the square of the numerical speed of light; no lemmas or tactics are invoked.
why it matters
This definition feeds horizonArea and rs_entropy in UltramassiveBH, which support the entropy scaling theorem entropy_quadruples_on_double. It anchors the classical radius inside the ledger-curvature picture stated in the module documentation. The placement inside RRF.Foundation.Gravity connects the T5-T8 forcing chain to concrete horizon calculations.
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