OPH · 64k
V18·Act IV · Quantum centrepiece

Collapse as conditioning, on 65,536 real records

Click a measurement button. Superposed branches shimmer until the outcome is read; the inconsistent branches evaporate, and the re-read sits rock still.

The relation on screen

Conditioning on a record removes the records that disagree with it. That operation is a projection followed by renormalisation.

Symbols

projector onto outcome k
state as a weighted record population
loading 65,536 records

what to look for · Nothing is destroyed on screen, only excluded. The remaining pile is the post-measurement state.

Consensus to physics

  1. 01the viewer chooses an outcome by clicking a measurement button
  2. 02each committed record carries a projector onto its record class
  3. 03conditioning on the chosen outcome is the Luders update rho -> P rho P / Tr(rho P)
  4. 04re-reading returns the same value with probability one

In standard physics

The measurement postulate, measured

On the full 65,536-record population: projector idempotence error exactly 0.0, projectors commute, Luders conditioning idempotent, repeat-read stability exactly 1.0, probabilities summing to exactly 1.0.

boundary · Commuting projectors mean this is a single-context record structure. Non-commutativity is what V19 and V20 address, and it is weaker.