The three fundamental forces of nature are not random accidents but are built into the math of prime numbers.
The Standard Model's gauge group and its three coupling constants can be derived from a specific mathematical structure involving the prime number seven. This suggests that the strength of electromagnetism and the nuclear forces are rooted in an elegant arithmetic system. Scientists have traditionally viewed these forces as arbitrary values that just happened to be right for life to exist. This discovery implies that the universe has a much deeper mathematical logic than we ever realized. It provides a new path for unifying all of physics by following the logic of prime number theory. It shows that the laws of nature are written in the most basic language of math.
Arithmetic Structure of the Three Gauge Forces in the Standard Model and the Bost-Connes System
SSRN · 6723462
We show that the local factor of the Bost-Connes C*-algebra at the prime p=7 precisely describes the Standard Model gauge group (U(1) x SU(2) x SU(3)) modulo Z6 via the CRT decomposition, and yields the three gauge coupling constants through spectral trace ratios (Born values: 1/alpha_s = 8.7, 1/alpha_EM = 126, 1/alpha_W = 29.2; after virtual-process corrections: 1/alpha_s = 8.49, 1/alpha_EM = 137.036, 1/alpha_W = 29.60, all within 0.1% of experiment), with the Weinberg angle sin2(theta_W) = 0.