The Carry That Cannot Be Named Inside the Register

Not a ToE · Oct 25, 2026 · 35m

Add 1 to 255 in an eight-bit register and every bit flips to zero, with no rule broken. Whether that zero is a modular wrap-around, a silent fault, or a carry into a ninth bit is not something the eight bits can settle. Reading it as a carry is a judgment that steps outside the bit space.

Tom Zahavy's position paper "LLMs Can't Jump" (ICML 2026) reads discovery through Einstein's letter to Maurice Solovine: sense experience, an intuitive jump to axioms, deduction, and back to experience. Much of it holds. Deduction depends on premises already held, data-scarce discovery is poorly described as…