Joint Institute for Nuclear Research Relativistic ... - Index of - JINR

LOBACHEVSKY GEOMETRY TRUE SENSE AND ”LOBACHEVSKY
GENERAL EDUCATION” URGENCY IN HIGH ENERGY PHYSICS
E.G. Bubelev
Joint Institute for Nuclear Research, Dubna, Moscow reg., Russia
E-mail: e.g.bubelev@gmail.com
”Lobachevsky geometry true sense ...”, about which Henry Poincaré wrote century
earlier 1 , consists in that it is an internal 2 (i.e. natural) geometry of the known
Lobachevsky velocity space (LVS) which is a base for phase space (PS) of high energy
physics (HEP). As the internal geometry it conserves all symmetries of particles’
mutual transformations, as well known so as unknown ones being searched else. The PS
pseudo-Euclidean representation used commonly in HEP breaks contrarily all symmetries
beside the simplest ones. That is why an extraction physically meaningful information
from especially valuable multiparticle data without usage of all LVS symmetries
in HEP (the most expensive fundamental science) hardly exceeds 3-5%. With (technically
caused) incompleteness of these data it doesn’t permit to reconstruct statistically
in LVS all evolution footprints of particles in their interactions. The lust is a unique
possible way for ”exploring complexity” and interaction law of particles (according to Ilya
Prigogine 3 ). That is why now sharper than semicentury ago 4 stands in HEP a large
Informational–educational problem. It consist of ”non-Euclidean information” scientific
community about Lobachevsky geometry as the theory of HEP L-invariants −
true physical quantities and ”Lobachevsky general education”, i.e. mass teaching
HEP physicists in domains: Lobachevsky L-group of motions and symmetries in the
Lobachevsky velocity space (LVS) L 3 , the internal Lobachevsky–Euclidean geometry
L 3
⊗ m of HEP experimental results, LVS method and Lobachevsky invariant (factually
absolute) multidimensional statistic in L 3 . The necessity, problems and different aspects
ofthisgeneraleducationasscientific–educational partoftheProject”Lobachevskyvelocity
space in high energy physics” (LoVeHEP) was told by me at four MCE (Mathematics.
Computer. Education) International conferences (2004–2012) and at many ISHEPP seminars
in Dubna 5 . The aim of this Project is the mass usage of Lobachevsky geometry as
the HEP physicists’ main working tool for magnification of HEP informational output by
1–1.5 degree which would help to justify all HEP multimilliard $$ cost.
References
[1] H. Poincaré, Rapport sur les travaux de M.Hilbert (1899–1903) Coll. On grounds of
geometry. GITTL, Moscow, 452 (1955) (in Russ.)
[2] E.G.Bubelev,Int.Sem.140 th Anniv.H.Poincaré,Protvino,Russia,1994.Proc.IHEP,219(1995)
[3] G.Nicolis,I.Prigogine,Explor.complex.Introd.,W.H.Freeman&Company/NewYork(1989)
[4] N.A.Chernikov, Intern.Th.Phys.Wint.Sch.,JINR, Proc.R-1772, Dubna, 3,151(1964)
[5] E.G.Bubelev et al.,Math.Comp.Educ., Theses 11, add.issue (2004); 15, 51,52 (2008)
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