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Quantum mechanics contains exactly two ways a state can change: a rotation that is reversible, deterministic and always running, and a projection that keeps one component and deletes the rest. A lesson for philosophers and theologians on what the geometry fixes about wave function collapse — its shape, its weights, its basis, even the impossibility of dating it — and the one question it leaves open. … Continue readingCollapse Is Not a Rotation
Join two quantum systems and their state spaces multiply rather than add, and almost nothing in the product comes apart again into a state for each half. A lesson on entanglement for philosophers and theologians: what Bell actually ruled out, why entangled is not the same as non-local, and why the honest claim is a failure of supervenience rather than a disappearance of the parts. … Continue readingThe Parts Do Not Determine the Whole
Classical physics uses complex numbers constantly and can always discard them at the end. Quantum physics cannot, and the reason is exact: take the real part of a classical solution and you still have a solution — take the real part of a wavefunction and you have nothing. A lesson for philosophers and theologians on what F = ma actually claims, and what quantum mechanics does and does not license. … Continue readingThe i Is in the Equation