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Title Mapping in inertial frames
Creator/Author Arunasalam, V.
Publication Date1989 May 01
OSTI IdentifierOSTI ID: 6035249; DE89013320
Report Number(s)PPPL-2619
DOE Contract NumberAC02-76CH03073
Resource TypeTechnical Report
Resource RelationPortions of this document are illegible in microfiche products
Research OrgPrinceton Univ., NJ (USA). Plasma Physics Lab.
Subject657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation ;657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics; MINKOWSKI SPACE-- MAPPING; COMMUTATION RELATIONS;EIGENVALUES;GALILEI TRANSFORMATIONS;LORENTZ INVARIANCE;LORENTZ TRANSFORMATIONS;PARITY;QUANTUM OPERATORS;RELATIVITY THEORY;SPACE-TIME;T INVARIANCE;WAVE FUNCTIONS
Related SubjectFIELD THEORIES;FUNCTIONS;GENERAL RELATIVITY THEORY;INVARIANCE PRINCIPLES;MATHEMATICAL OPERATORS;MATHEMATICAL SPACE;PARTICLE PROPERTIES;SPACE;TRANSFORMATIONS
Description/Abstract World space mapping in inertial frames is used to examine the Lorentz covariance of symmetry operations.^It is found that the Galilean invariant concepts of simultaneity (S), parity (P), and time reversal symmetry (T) are not Lorentz covariant concepts for inertial observers.^That is, just as the concept of simultaneity has no significance independent of the Lorentz inertial frame, likewise so are the concepts of parity and time reversal.^However, the world parity (W) (i.e., the space-time reversal symmetry (P-T)) is a truly Lorentz covariant concept.^Indeed, it is shown that only those mapping matrices M that commute with the Lorentz transformation matrix L (i.e., (M,L) = 0) are the ones that correspond to manifestly Lorentz covariant operations.^This result is in accordance with the spirit of the world space Mach`s principle.^Since the Lorentz transformation is an orthogonal transformation while the Galilean transformation is not an orthogonal transformation, the formal relativistic space-time mapping theory used here does not have a corresponding non-relativistic counterpart.^12 refs.
Country of PublicationUnited States
LanguageEnglish
FormatPages: 25
AvailabilityNTIS, PC A03/MF A01 - OSTI; 1.
System Entry Date2001 May 13

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