Topological Integers Without Physics: Holonomic Closure in DNA

Quantization—the restriction of observable quantities to discrete values—is widely regarded as a signature of quantum mechanics. In two preceding papers, we have shown that it is not. Wherever a conserved current traverses a multiply connected domain and must return to an equivalent value after projection, integer invariants follow. This holonomic closure condition produces quantum numbers in atoms, flux quanta in superconductors, and orbit numbers in black hole photon rings. Here we show that closed circular DNA satisfies the same three conditions: the phosphodiester backbone is the conserved current, the partner strand is the topological obstruction, and strand closure enforces equivalence after transport.…