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this may have been emphasized at Usenet SPR, I didnt check. I will flag it here in case anyone overlooked it.
=====quote Baez TWF #232====
Second, suppose we let two particles collide and form a new one:
Now our worldlines don't form a submanifold anymore, but if we keep our wits about us, we can see that everything still makes sense, and we get momentum conservation in this form:
exp(p") = exp(p) exp(p')
since little loops going around the two incoming particles can fuse to form a loop going around the outgoing particle. Note that we're getting conservation of the group-valued momentum, not the Lie-algebra-valued momentum - we don't have
p" = p + p'
So, conservation of energy-momentum is getting modified by gravitational effects! This goes by the name of "doubly special relativity"...
====end quote====
I will see if the paste version copies OK
=====quote Baez TWF #232====
Second, suppose we let two particles collide and form a new one:
Code:
p p'
\ /
\ /
\ /
|
|
|
p"
exp(p") = exp(p) exp(p')
since little loops going around the two incoming particles can fuse to form a loop going around the outgoing particle. Note that we're getting conservation of the group-valued momentum, not the Lie-algebra-valued momentum - we don't have
p" = p + p'
So, conservation of energy-momentum is getting modified by gravitational effects! This goes by the name of "doubly special relativity"...
====end quote====
I will see if the paste version copies OK
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