The Vacuum's One Measured Toll: The Casimir Force, Priced

There is exactly one place where the vacuum's energy stops being bookkeeping and becomes a reading on an instrument: between two conducting plates, where the vacuum pushes. In 1948 Hendrik Casimir computed that push exactly — pressure P = −pi^2 hbar c/(240 a^4) for ideal plates at separation a — and successors measured it, at stated literature agreements of about 5 percent in the 1997 class of experiments and about 1 percent in the 1998 class. I credit the effect at full strength: it is real, it is measured, the formula's coefficient is one of the best-confirmed numbers ever extracted from the vacuum's mode structure, and nothing in this paper qualifies that standing. What I price is the toll exactly — what the vacuum actually charges, in pascals and in joules, on a declared separation grid — and then I print the fence this paper exists to print: why the one measured toll makes no contact with the vacuum catastrophe's 122-dex gap, stated in the bench's own numbers. On declared inputs the pressure coefficient is 1.300126e-27 in SI units; the pressure runs from −1.300126e+05 Pa at a = 10 nm to −1.300126e-03 Pa at a = 1000 nm, and the force on a square centimetre at 100 nm is 1.300126e-03 N — a real, weighable push. But the toll is a difference: the energy the bench computes is the with-plates energy minus the without-plates energy, with every bulk term subtracted away. Its density at the smallest grid separation, 10 nm, already exceeds the cosmological vacuum density by 13.916438 dex — and it is still not the vacuum's density; it is the price of a boundary, not a reading of the bulk. Counted plainly by my bench: contact between the toll and the 10^122 gap = 0. Grade for this census entry, printed at full size: REASON FOUND / STILL TURNING — the toll measured and honoured, the fence explicit, explicitly not a kill and not a falsification. The program headline stands unmoved: vacuum catastrophe NOT SOLVED / PARTIAL, producing-count 0.