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Equivalence of relativistic causal structure and process terminality · Around

2017

Equivalence of relativistic causal structure and process terminality

Kissinger, Aleks, Hoban, Matty, Coecke, Bob

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In general relativity, `causal structure' refers to the partial order on space-time points (or regions) that encodes time-like relationships.

Recently, quantum information and quantum foundations saw the emergence of a `causality principle'.
In the form used in this paper, which we call `process terminality', it states that when the output of a process is discarded, then the process itself may as well be discarded.
While causal structure and process terminality at first seem to be entirely different notions, they become equivalent when making explicit what the partial order actually encodes, that is, that an event in the past can influence one in its future, but not vice-versa.

Built on

R. Penrose, Physical Review Letters
1965
Earlier work this paper cites.
E. H. Kronheimer and R. Penrose, in
1967
Earlier work this paper cites.
R. Penrose,
1972
Earlier work this paper cites.
S. W. Hawking and G. F. R. Ellis,
1973
Earlier work this paper cites.
D. B. Malament, Journal of Mathematical Physics
1977
Earlier work this paper cites.
J. Pearl,
2000
Earlier work this paper cites.
F. Markopoulou, Classical and Quantum Gravity
2000
Earlier work this paper cites.
R. F. Blute, I. T. Ivanov, and P. Panangaden, International Journal of Theoretical Physics
2003
Earlier work this paper cites.
B. Coecke, in
2005
Earlier work this paper cites.

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