OPH · 64k
V17·Act IV · Quantum centrepiece

Born weights as integer counts

A beam of 179 tokens hits an analyser and splits into bins. Every token is countable and the ratio is exact.

The relation on screen

Weights are integer record counts. The Born rule is a ratio of counted things, with nothing continuous in the middle.

Symbols

number of committed records with outcome k
frequency, exact rational
loading record population

what to look for · The ratio is exactly rational at every stage, and converges without a fit.

Consensus to physics

  1. 01a finite population of 179 record configurations exists, split 111 / 68 by record class
  2. 02a measurement context refines each configuration into L sub-configurations by an exact integer branch rule
  3. 03every sub-configuration deterministically records one outcome
  4. 04the outcome's frequency is a ratio of two integers, and that ratio equals Tr(rho F)

In standard physics

Stern-Gerlach, with every particle counted

The Born rule without a probability postulate. No random number is drawn anywhere in the code path: probability appears as counting over an exhaustive deterministic ensemble, and the counts land exactly on the quantum weights.

boundary · This does not derive Hilbert space, and the phase operation behind the rotated contexts is a declared architecture operation.