Quantum Predictions
This program's central quantum claim is unusual among the predictions on this site: it isn't a new number to go look for, but a derivation that the exponent in the standard Born rule (probability ∝ |ψ|²) must be exactly 2 — reproducing standard quantum mechanics exactly, rather than predicting a deviation from it.
Born-rule exponent is exactly 2, not merely close to 2
internally checkedP(i) = |cᵢ|^p, with p = 2 forced by local additivity + normalization
- Required parameters
- None beyond standard finite-dimensional quantum state normalization
- Predicted result
- No deviation from standard Born-rule statistics in any regime — the theory reproduces textbook quantum mechanics exactly where its hypotheses (dim ℋ ≥ 3) hold
- Competing (standard) prediction
- Standard quantum mechanics (same prediction) — the derivation's interest is explanatory, not distinguishing
- Required instrument/data
- None distinguishes this from standard QM by construction; the qubit case (dim ℋ = 2) is the one regime where the derivation's own hypothesis doesn't apply and is left unaddressed
Falsification criterion: Any confirmed experimental deviation from |ψ|² statistics in dim ≥ 3 systems would falsify both this derivation and standard quantum mechanics itself.
See the check for this claim →