DOOR2-CASIMIR-001 — The Casimir Force Through Door 2: the Divergent Series’ Carrier, Measured in a Lab

WHAT THIS RECORD ISFresh hunt: the most famous “divergent = physical” series handed to DOOR 2 (forward-collapse). The mode sum E ∝ Σn³ diverges; the projected reading is “infinite vacuum energy needing regularization.” The door-2 recovery: forward-collapse through the η/ζ lane — Σn³ → ζ(−3) = 1/120 EXACT (the −1/12 pattern one rank up), giving the closed carrier E/A = −π²ħc/(720a⁴), force |F/A| = π²ħc/(240a⁴). Executed at a = 1 μm: 1.3001e-3 Pa — CONFIRMED by experiment (Lamoreaux 1997, Mohideen 1998+) at the ~1% level. This is the log’s strongest possible door-2 exhibit: the lane-collapsed carrier of a divergent series is not bookkeeping — it is a FORCE MEASURED IN A LABORATORY. The walk==crawl gate passes through the η lane: ζ(−3) = 1/120 via η(−3) = −1/8, conversion exact.

E = (ħcπ²/2a³)Σn³ → ∞ — the divergence read as a crisis, “regularized” by subtraction with the lane unnamed.

Σn³ → ζ(−3) = 1/120 EXACT via the η lane (η(−3) = −1/8; conversion (1−2⁴) checked ✓)
carrier: F/A = −π²ħc/(240a⁴); at a = 1 μm: 1.3001e-3 Pa
MEASURED: Lamoreaux/Mohideen-class experiments confirm to ~1% — the carrier is a laboratory fact
reading: the divergence was the unnamed lane; THM-018’s −1/12 pattern at rank 3, weighed on a torsion balance.

DOOR2-CASIMIR-001 — the Casimir carrier through the η/ζ lane (ENTERED)

2 — SERIES (divergent series in)

ζ(−3) = 1/120 exact · η conversion ✓ · 1.3001e-3 Pa at 1 μm · experiment ~1%

ENTERED · CARRIER_MEASURED — the door-2 exhibit with laboratory confirmation

GREEN (the collapse is exact; the measurement is published record)

Casimir 1948 · Lamoreaux 1997 · Mohideen 1998 · THM-DIVERGENCE-018 · TOOLCHAIN-001 v2