Everything below is true until you check.
Five things the universe will show you, but not while you are looking. Each note is unmeasured. Press one to measure it. It will not be the same afterward. Neither will you, technically.
observable 01 · position, momentum
[ unmeasured. both readings true. press to collapse. ]
observable 02 · spin
[ unmeasured. both readings true. press to collapse. ]
observable 03 · polarization
[ unmeasured. both readings true. press to collapse. ]
observable 04 · entanglement
[ unmeasured. both readings true. press to collapse. ]
observable 05 · superposition
[ unmeasured. both readings true. press to collapse. ]
Fair objection: if the state was unknown before the measurement, how does anyone know the measuring changed it?
Because the universe left fingerprints. Run the double slit with no path detector: interference. Add a detector at the slits: the interference dies. Same slits, same light. The only new ingredient was the asking.
Because the asking can be unasked. In the eraser experiments, the which-path record is destroyed after the particle has already flown, and the interference comes back, as if the question had never been raised. Whatever collapse is, it books its charges to the question, not to the flight.
Because the choice can come late. In the delayed versions, whether to ask is decided after the particle is committed. The pattern still obeys the decision. The universe grades the exam after the answers are in and never gets caught changing them.
Because the sums only work that way. Take collapse out of the equations and the predictions stop matching the detectors. Put it back and they match to eleven decimal places. Whatever is going on, the arithmetic votes for it.
appendix · instruments of the asking
- position cloud chambers, wire detectors, photographic plates: places a particle deigns to leave a mark
- momentum diffraction gratings and time-of-flight: inferred from the wavelength, never grabbed
- energy spectra, photomultipliers, calorimeters: caught on the way in or the way out
- spin Stern-Gerlach magnets, split spectral lines: the menu, made visible
- polarization filters and birefringent crystals: the insisting, in solid form
- entanglement coincidence counters and Bell tests: agreement, audited
- whole states tomography, and weak measurement: asking so quietly it barely counts
this page arrived in superposition. observables collapsed by you so far: 0 of 5. the record is permanent, and it is kept on both sides of the screen. leaving does not help. neither does another device. nobody warned you. the universe does not issue warnings.