The 1‑Second Invariant and the Galactic Census of Intelligent Life

This paper derives an estimate for the number of intelligent civilizations in the Milky Way galaxy using the 1‑second invariant discovered in the Genesis Project framework. Unlike traditional approaches that rely on empirical exoplanet statistics, this derivation proceeds from first principles: the 1‑second invariant emerges from fundamental constants at the quantum scale (proton, electron), manifests in human metrology (the 2‑cubit pendulum), and is encoded in celestial dynamics (Earth‑Moon‑Sun eclipse geometry). The Moon is identified as a cosmic metric—its formation and orbital configuration are not random but participate in the same resonant structure that yields the second. Using the 400:1 eclipse ratio encoded in 86,400, combined with recent constraints on large‑moon formation around terrestrial planets, we calculate the probability that a given planetary system satisfies all conditions for the invariant to manifest. The result yields an estimate of N ≈ 100,000 communicative civilizations in the galaxy—a number derived not from astronomical censuses but from the structure of physical law itself.