- #1
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Not in any particular order (all are active important research initiatives).
1. Algebraic geomatter (google "geometry and the quantum: basics")
2. LQG with constant curvature simplices (embodying the cosmological curvature constant Λ)
3. Flux formulation LQG
4. LambdaCDM bounce
5. Projective LQG
6. Starbounce (google "planck star")
1. refers to Sep and Dec 2014 papers by Chamseddine Connes Mukhanov where quanta of both GR geometry and StdMdl matter seem to grow from the same algebraic root
2. refers to December 2014 paper by Haggard Han Kaminsky Riello (google "4D loop quantum gravity with a cosmological constant", part of the title of their paper) and February 2015 paper by Rovelli Vidotto ("compact phase space, cosmological constant, discrete time")
3. google "flux formulation LQG" for Dittrich&Geiller new formulation of LQG, likely opening to the GR limit.
4. google "LambdaCDM bounce" for standard cosmology combined with matter bounce/Loop bounce.
5. google "projective LQG" for massive work by Lanery&Thiemann reformulating LQG.
6. google "planck star" for work by Barrau, Rovelli, Vidotto on prospects of seeing collapse rebound explosions
I will get some links. These are research topics that I think may see some development in 2015. One wants to have looked at some of the relevant 2014 papers, or at least know of their existence, and be on the look-out for further progress this year. BTW nobody says "geomatter" or "starbounce". Those are just concise descriptive verbal handles I use for convenience and concreteness sake.
The wording of theme #2 was edited to make it less technical and more directly understandable.
EDIT: in the case of theme#2 a 2009 paper by Bahr&Dittrich proposing simplices with constant curvature should be mentioned (was this a "sleeper" in the sense of not getting sufficiently noticed and followed-up in the intervening 5 years?)
http://arxiv.org/abs/0907.4325
Regge calculus from a new angle
1. Algebraic geomatter (google "geometry and the quantum: basics")
2. LQG with constant curvature simplices (embodying the cosmological curvature constant Λ)
3. Flux formulation LQG
4. LambdaCDM bounce
5. Projective LQG
6. Starbounce (google "planck star")
1. refers to Sep and Dec 2014 papers by Chamseddine Connes Mukhanov where quanta of both GR geometry and StdMdl matter seem to grow from the same algebraic root
2. refers to December 2014 paper by Haggard Han Kaminsky Riello (google "4D loop quantum gravity with a cosmological constant", part of the title of their paper) and February 2015 paper by Rovelli Vidotto ("compact phase space, cosmological constant, discrete time")
3. google "flux formulation LQG" for Dittrich&Geiller new formulation of LQG, likely opening to the GR limit.
4. google "LambdaCDM bounce" for standard cosmology combined with matter bounce/Loop bounce.
5. google "projective LQG" for massive work by Lanery&Thiemann reformulating LQG.
6. google "planck star" for work by Barrau, Rovelli, Vidotto on prospects of seeing collapse rebound explosions
I will get some links. These are research topics that I think may see some development in 2015. One wants to have looked at some of the relevant 2014 papers, or at least know of their existence, and be on the look-out for further progress this year. BTW nobody says "geomatter" or "starbounce". Those are just concise descriptive verbal handles I use for convenience and concreteness sake.
The wording of theme #2 was edited to make it less technical and more directly understandable.
EDIT: in the case of theme#2 a 2009 paper by Bahr&Dittrich proposing simplices with constant curvature should be mentioned (was this a "sleeper" in the sense of not getting sufficiently noticed and followed-up in the intervening 5 years?)
http://arxiv.org/abs/0907.4325
Regge calculus from a new angle
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