Extended special relativity

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cmartinez

Joined Jan 17, 2007
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Importantly, the scientists argue that superluminal objects require descriptions within the field theory framework, meaning their extended special relativity should be logically consistent with past models. "This new definition preserves Einstein's postulate of constancy of the speed of light in vacuum even for superluminal observers," Dragan said. "Therefore, our extended special relativity does not seem like a particularly extravagant idea."
 

nsaspook

Joined Aug 27, 2009
16,276

nsaspook

Joined Aug 27, 2009
16,276
Very interesting ... I guess that Time will either validate or relegate this theory to the annals of mathematical curiosities ....
It's like transversable wormholes. It's possible in theory and yet still impractical for travel or communication because once inside the event horizon you stay even if you 'travel' to the other side.
 

nsaspook

Joined Aug 27, 2009
16,276
" The new theory combines three time dimensions with a single space dimension ("1+3 space-time") "

what...?
It's very simple, you make things up in a mathematically consistent manner.
In order to generalize (3) to the 1+3 dimensional spacetime we introduce an additional pair of spatial dimensions y and z for the "resting" observer, as well as an
extra pair ξ′ and χ′ for the superluminal one. We will also assume that the "transversal" components of the four-position are not affected by the superluminal transformation.
...
In subluminal relativity the worldline of a moving observer coincides with his temporal axis t′ and it uniquely defines the 1 + 3 decomposition of spacetime into time
and space, as the three-dimensional space r′ is orthogonal to the time axis t′. In order to uniquely define the
orientation of the spacial axes r′ additional information
has to be provided. To supplement the missing information one usually assumes that the two moving frames are
mutually unrotated, which is equivalent of saying that
the inverse transformation involves a simple sign flip in relative velocity.
A relevant question that remains to be answered is whether tachyons – understood as localized lumps of energy traveling with superluminal speeds – can physically exist.
 
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