[4th edition (August 2026)] No conclusion has changed. Following Paper 149, the origin of the half-integer exponents has been rewritten from the deter

This paper is a comparison table listing how representative formulas of mechanics and astrophysics look once the Yamagishi patches (m = 4π, G = 4π) ar

Substituting the Yamagishi gravitational patch G_geom = 4π = Vol(S²), obtained from the n = 2 uniqueness theorem, into Newtonian gravity and Poisson’s

This paper formally integrated E²=(4πc²)²+(4πvc)² with respect to the speed of light c and, on the strength of the resulting (16π²/5)c⁵, claimed a &qu

This paper examines the geometric constant 32π² common to the instanton topological charge density q(x) of quantum chromodynamics and the Pontryagin d

We rewrite the self-gravitational potential energy of a uniform sphere, U = -(3GM²)/(5R), using M = (4)/(3)π R³ ρ and the Yamagishi mass patch ρ = 4π

The Adler–Bardeen theorem (1969) states that the coefficient of the chiral anomaly is fixed at one loop and receives no corrections from higher orders

Substituting the Yamagishi patches M = 4π and G = 4π into Kepler’s third law T² = (4π²/GM)a³ cancels the 4π² of the numerator against the 16π² of the

We substitute the Yamagishi mass patch m=4π into the basic equations of Newtonian mechanics. First: Newton's second law becomes F=4π a. Second: m

We give a geometric reformulation of the plasma frequency _p = √((n e²)/(m ₀)) by applying the Yamagishi patch m=4π (from the n=2 uniqueness theorem,