meteor said:
Though I believed that Doubly Special Relativity and Deformed Special Relativity were different things, today I learned that they are the same thing. Sometimes is confusing to have two different names for the same concept
So Doubly deformed special relativity= 2*2 Special relativity= Fourfold Special Relativity?
in case anyone else got confused by this,
special relativity------makes one quantity invariant under transformation, a speed, the speed of light
DSR------makes two quantities invariant, a speed and a length
TSR (alternatively DDSR)------makes three quantities invariant
these are new things and it is hard to establish new unambiguous terminology and we are in a period of slightly chaotic language about them. the term TSR is from Smolin and Jerzy Kowalski-Glikman who are working together on what they call "Triply Special Relativity"
that seems like a reasonable terminology to me because it makes 3 things invariant----three quantities look the same to all observers: the speed of light, the Planck length, and the length scale of the cosmological constant.
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Meteor you remember
John Baez report about the marseille conference in May----he talked not only about Simplicial Gravity (dynamical triangulation) paper of Renate Loll----he also talked about Lee Smolin's interest in MOND.
then it seemed on SPR that only Thomas Larsson had the alertness to notice the Loll paper and everybody on SPR wanted to talk about MOND---so there was this huge noisy conversation about it with everybody giving an opinion
the appeal of MOND is that it gives an alternative way to explain the effects of dark matter and dark energy (you may understand better than I, please correct me if I am missing the point)
now it seems like TSR (or DDSR) gives a way to get the effect of MOND, maybe, so it could explain observational data without postulating dark energy----and maybe using less dark matter too. maybe some dark matter is real stuff actually there and some is just a mond or TSR effect.
so I can understand Smolin interest, if he and Jerzy K-G are working on something that acts like MOND but has (unlike MOND) an elegant basis
that addresses other questions in a less
ad hoc way.