2014
DOI: 10.1016/j.shpsb.2014.07.005
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No superluminal propagation for classical relativistic and relativistic quantum fields

Abstract: A criterion is proposed to ensure that classical relativistic …elds do not propagate superluminally. If this criterion does indeed serve as a su¢ cient condition for no superluminal propagation it follows that various other criteria found in the physics literature cannot serve as necessary conditions since they can fail although the pro¤ered condition holds. The rejected criteria rely on energy conditions that are believed to hold for most classical …elds used in actual applications. But these energy condition… Show more

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Cited by 17 publications
(15 citation statements)
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“…Similarly definitions hold for the chronological (causal) past. The whole causal past of an event p is often interpreted intuitively as the total set of events that could "influence" p, and its whole causal future as those that it could "influence"; it is a surprisingly subtle matter to make this idea precise, however (Earman, 2014). Even when a spacetime does not have a temporal orientation, one can still define the two-place relation of chronological (resp.…”
Section: Standard Geometrical Structurementioning
confidence: 99%
“…Similarly definitions hold for the chronological (causal) past. The whole causal past of an event p is often interpreted intuitively as the total set of events that could "influence" p, and its whole causal future as those that it could "influence"; it is a surprisingly subtle matter to make this idea precise, however (Earman, 2014). Even when a spacetime does not have a temporal orientation, one can still define the two-place relation of chronological (resp.…”
Section: Standard Geometrical Structurementioning
confidence: 99%
“…41 The fact that the null cones determine a topological boundary for the chronological I think Manchak's definition of "local" is superior, as judged by its physical significance in the context of general relativity, to the one I proposed in Curiel (1999, §5), though the latter may still be of interest in purely mathematical contexts, or in contexts of physical investigation that transcend the scope of a single theory. 41 See, however, Geroch (2010) and Earman (2013) for dissenting arguments.…”
Section: Manifest Physicalitymentioning
confidence: 99%
“…Then I will present some general definitions and propositions that allow one to define a notion of (maximal) propagation velocity. At the end of the section, I will turn to a proposal by Geroch (2011) and Earman (2014) to the effect that the sense of propagation velocity given by Geroch's analysis is the salient one in connection with relativity theory.…”
Section: Geroch and Earman On Superluminal Propagationmentioning
confidence: 99%
“…This is not to say that the more principled question is never taken up. In recent work, Geroch (2011) and Earman (2014) have articulated a precise and general account of what it would mean for a physical system to propagate superluminally in relativity theory. 2 More 1 Here I limit attention to cases where the electromagnetic field is treated classically.…”
mentioning
confidence: 99%