Bibliographic Citation
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Title | Mapping in inertial frames |
Creator/Author | Arunasalam, V. |
Publication Date | 1989 May 01 |
OSTI Identifier | OSTI ID: 6035249; DE89013320 |
Report Number(s) | PPPL-2619 |
DOE Contract Number | AC02-76CH03073 |
Resource Type | Technical Report |
Resource Relation | Portions of this document are illegible in microfiche products |
Research Org | Princeton Univ., NJ (USA). Plasma Physics Lab. |
Subject | 657003 -- 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 Subject | FIELD 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 Publication | United States |
Language | English |
Format | Pages: 25 |
Availability | NTIS, PC A03/MF A01 - OSTI; 1. |
System Entry Date | 2001 May 13 |
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