Low energy world Sergej Schuwalow 19 September 2016
Low energy world Sergej Schuwalow, 19 September 2016 DESY Hamburg 29 th FCAL Workshop Tel Aviv 1
Minimization principle l l At ground state – minimal possible phase space to accommodate maximum states Example: digital memory to keep numbers 0 -999 binary system: 10 digits x 2 = 20 hardware states; decimal system: 3 digits x 10 = 30 hardware states; system on the base 1000: 1 digit x 1000 = 1000 states has minimum at n=e (Euler constant) For the cold world with infinite degrees of freedom the ground state is a space with exactly 19 September 2016 e dimensions 29 th FCAL Workshop Tel Aviv 2
Large distances l l Pointlike charge (or any source with long range field) – integral converges at small distances (no need for renormalization), but diverges at large distances Additional assumption: to minimize overall fields energy the space becomes 3 D at large distances (still e. D at small distances). Field energy converges everywhere, and has wide minimum at the certain e. D – 3 D transition distance What are the properties of such a world? 19 September 2016 29 th FCAL Workshop Tel Aviv 3
Properties - 1 e. D – 3 D transition requires extra complementary dimension, “bridge” between e. D and 3 D, that exists in 3 D , but not in e. D l time l Ratio of this new dimension to space dimension in 3 D is precisely defined and has units of (inverse) speed universal speed – world constant l Both time and universal speed appear together and exist only at low energy and large distances 19 September 2016 29 th FCAL Workshop Tel Aviv 4
Properties - 2 l How e. D space looks from the point of view of 3 D observer? With decreasing of distance the time becomes undefined, “uncertain”… uncertainty principle, quantum mechanics l Is e. D space necessarily symmetric (“subdimensions” are equal)? If not: 3 generations of “building blocks” Low limit on lightest generation masses Left-handed and right-handed sets Exact mass relationship between generations CPT conservation, C, P and T violations 19 September 2016 29 th FCAL Workshop Tel Aviv 5
Properties - 3 l Cosmology: Inflation at high energy Particle-antiparticle asymmetry Accelerating expansion of the universe 19 September 2016 29 th FCAL Workshop Tel Aviv 6
Open questions (few of many) What is the principle behind e. D asymmetry? What are elementary particles? 1 d geometrical objects in e. D asymmetric space? Could string theory help? How particles are interacting/decaying? Do we have free parameters at all? Challenge for theory: formalism in asymmetric fractal space, especially for e. D case 19 September 2016 29 th FCAL Workshop Tel Aviv 7
Thank you for you attention. Questions? I hope you have a lot… 19 September 2016 29 th FCAL Workshop Tel Aviv 8
- Slides: 8
