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Re: [Phys-L] long-range forces, short-range couplings



On Wednesday, July 29, 2015 2:23 PM, John Denker <jsd@av8n.com> wrote:



In the context of:

"How can you have a "long-range" force at all, given that special
relativity and basic notions of causality require everything to be
local in space and time?"

  I think this terminology is somewhat misleading. How can "Everything" be local in space and time? One event at a certain definite location - yes. A system of separated events - no. Even a single particle with definite 4-momentum (de Broglie's wave) is a non-local system. And this does not contradict either relativity, or causality.
The argument goes like this:  If A were to cause B via some
nonlocal interaction, i.e. separated by a spacelike interval
in some frame, then in some other frame the effect would
occur before the cause ... violating the most basic notions
of causality.

The causality (causal ordering postulate (COP)) would not be violated, due to the reinterpretation principle (RIP) (see, e.g., the works of Recami, Sudarshan &Co, and my recent work A new paradox in superluminal signaling, arXiv:1506.06721[physics.gen-ph] ) 
Sure, you can define such a distance, and you can have
object A separated by object B by such a distance ... but
then A cannot be the cause of B, nor vice versa.

Yes, but what does it have to do with the distance being obviously non-local characteristic?
The language of cause-and-effect is tricky;  (to put it mildly)
...we can avoid
some of that by saying event A can send /information/ to
any point in its forward light-cone, and not otherwise,
i.e. not to the past, and not to any point at a
spacelike separation.
To me, any system of separated events, be it within or outside of the light cone, is nonlocal - simply because it resides in an extended region of spacetime.                                                                                But these are purely terminological issues. A really interesting question is: How does the model with the intermediate virtual particles kicking A and B away from each other explain the attraction between A and B?
Moses FayngoldNJIT


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