from Part III - The Arrow of Time and Time-Reversal Invariance
Published online by Cambridge University Press: 28 October 2025
The need to implement time reversal via complex conjugation in quantum theory has always been a bit of a puzzle. Why should i go to –i under temporal reflection when it has no spatiotemporal dimensions? I’ll provide a new insight into this question by showing how the little-appreciated “quantum-looking” classical Schrödinger equation of Schiller and Rosen faces the exact same problem. Since we know how to escape this problem classically, this observation teaches us one way to solve the problem quantum mechanically too. Big picture: if I’m right, the puzzle over quantum time reversal is connected to the interpretation of quantum theory.
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