relativistically

Put more technically, the state space of an elementary system must not contain any relativistically invariant subspaces, i.e., it must be the state space of an irreducible representation of the relevant invariance group.

Archive 2009-02-01

The physical justification for linking up irreducible representations with elementary systems is the requirement that “there must be no relativistically invariant distinction between the various states of the system” (Newton & Wigner 1949).

Archive 2009-02-01

If the state space of an elementary system had relativistically invariant subspaces then it would be appropriate to associate these subspaces with elementary systems.

Archive 2009-02-01

The requirement that a state space has to be relativistically invariant means that starting from any of its states it must be possible to get to all the other states by superposition of those states which result from relativistic transformations of the state one started with.

Archive 2009-02-01

You have to have morals to use them relativistically.

Think Progress » Bush Official Dan Bartlett Admits Authorizing Offshore Oil Drilling Will Be Unlikely To Win Over Any GOP Votes

However, for the reasons explained above, this does not entail that there can be no "relativistically invariant distinction between the various states of the system".

Archive 2009-02-01

I agree that the UNESCO statement is relativistically stupid.

There Are No Superior Or Inferior Cultures « Unambiguously Ambidextrous

Time may bend and warp most amazingly when relativistically factored into more than 3 spatial dimensions, but only if we don't factor it as a naturally orthogonal modifier to all of them.

A Third Choice (ID Hypothesis)

Not only that, but we did it for $49.95, relativistically, so to speak.

Stevie, at work

Not only that, but we did it for $49.95, relativistically, so to speak.

Archive 2009-04-01