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2021

A Future-Input Dependent Path Integral for Quantum Mechanics

Donadi, Sandro, Hossenfelder, Sabine

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We here put forward a new path-integral over Hilbert space and show that it reproduces quantum mechanics exactly.

This approach works by optimizing the generating functional under a variation of the final state; it is hence an example of a future-input dependent theory.
The benefit of this method is that entangled states appear in the paths directly, and the generating functional can be modified to also include wave-function collapse.

A Future-Input Dependent Path Integral for Quantum Mechanics · Around

Built on

K. B. Wharton, N. Argaman,
Original
1906
Earlier work this paper cites.
R. P. Feynman,
1948
Earlier work this paper cites.
V. Vedral, et al. ”Quantifying entanglement.” Physical Review Letters
1997
Earlier work this paper cites.

Similar

H. Ollivier and W. H. Zurek,
2001
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M. Horodecki,
2001
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S. Donadi, S. Hossenfelder,
Original
2010
Cited alongside, same era.
A. G. Green, C. A. Hooley, J. Keeling and S. H. Simon,
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Cited in the paper.
N. Tyagi, K. Wharton,
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Cited in the paper.
J. R. Hance, S. Hossenfelder,
Original
Cited in the paper.

Then

L. S. Schulman,
2012
Later among the works it cites.
S. Hollands and K. Sanders,
Original
2018
Later among the works it cites.

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