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Bohmian mechanics [1] is a deterministic interpretation of QM that's empirically equivalent to traditional quantum theory. However, it requires non-locality (in
by svedlin 14y ago
Bohmian mechanics [1] is a deterministic interpretation of QM that's empirically equivalent to traditional quantum theory. However, it requires non-locality (instantaneous action across vast distances).
From a recent paper [2]:
"Bohmian mechanics reproduces all statistical predictions of quantum mechanics, which ensures that entanglement cannot be used for superluminal signaling. However, individual Bohmian particles can experience superluminal influences."
This paper [3] referenced in the Ars Technica article shows that finite superluminal velocities (c < v < inf) can be exploited to achieve superluminal signalling.
Very interesting result. I assume BM is still consistent with this. The paper does mention BM:
"Bohmian mechanics and the collapse theory of Ghirardi, Rimini, and Weber [...] reproduce all tested quantum predictions, [however] they violate the principle of continuity mentioned above (otherwise they would not be compatible with no-signalling as our results imply)."
The principle of continuity described in the paper:
"In both cases, we expect the chain of events to satisfy a principle of continuity: that is, the idea that the physical carriers of causal influences propagate continuously through space."
"Clearly, one may ask whether infinite speed is a necessary ingredient to account for the correlations observed in Nature or whether a finite speed v, recovering a principle of continuity, is sufficient."
Actions can happen instantaneously under BM ("infinite speed"), so BM is still consistent with QM and doesn't allow FTL communication.
[1] http://en.wikipedia.org/wiki/De_Broglie%E2%80%93Bohm_theory http://en.wikipedia.org/wiki/De_Broglie%E2%80%93Bohm_theory
[2] http://arxiv.org/pdf/1207.2794.pdf http://arxiv.org/pdf/1207.2794.pdf
[3] http://www.nature.com/nphys/journal/vaop/ncurrent/full/nphys2460.html http://www.nature.com/nphys/journal/vaop/ncurrent/full/nphys...