Lie-admissible approach to ''extended relativity. '' I. Nonlinear velocity, mass, and charge transformations

Journal Article · Sun Nov 01 04:00:00 EST 1987 · Hadronic J.; (United States)

OSTI ID:6917765

Animalu, A O.E.

A new approach to the ''extended relativity'' principle proposed by Recami, Mignani, and others, in which the speed of light (c) is invariant with respect to both subluminal (vc) linear generalized Lorentz transformations in vacuum, is presented, in order to take into account some novel nonlinear velocity transformations (v, V) ..-->.. (v', V'), associated with changes in motion at the interface between vacuum and a deformable hadronic medium, envisaged in Santilli's notion of quarks as mutations of physical leptons (''eletons'') inside hadrons. The new approach demands a generalization of the usual ralation (vV = c/sup 2/) between subluminal and superluminal inertial frames or objects to the (Lie-admissible) form (vV = c/sup 2/ = V'/sup 2/-v'/sup 2/), which is tantamount to a principle of relativistic invariance in velocity space.

• Research Organization: Department of Physics and Astronomy, University of Nigeria, Nsukka, Nigeria
• OSTI ID: 6917765
• Journal Information: Hadronic J.; (United States), Journal Name: Hadronic J.; (United States) Vol. 10:6; ISSN HAJOD
• Country of Publication: United States
• Language: English

Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPOSITE MODELS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
GELL-MANN THEORY
GENERAL RELATIVITY THEORY
GEOMETRY
LEPTONS
LIE GROUPS
LORENTZ TRANSFORMATIONS
MATHEMATICAL MODELS
MATHEMATICS
NONLINEAR PROBLEMS
PARTICLE MODELS
POSTULATED PARTICLES
QUARKS
RELATIVITY THEORY
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
TACHYONS
TRANSFORMATIONS