SIMPLE GENERALIZATIONS OF LORENTZ TRANSFORMATIONS AND THEIR IMPLICATIONS FOR HIGH ENERGY EXPERIMENTS

2005 ◽  
Vol 20 (26) ◽  
pp. 5989-6006 ◽  
Author(s):  
DANIEL T. SCHMITT ◽  
JONG-PING HSU
Keyword(s):  
Reference Frames ◽  
High Energy ◽  
Space Time ◽  
Decay Length ◽  
Lorentz Transformations ◽  
Lorentz And Poincaré Invariance ◽  
Inertial Frames ◽  
Accelerated Lifetime ◽  
Time Transformations ◽  
Accelerated Frames

Based on Lorentz and Poincaré invariance, we discuss reference frames with constant-linear-accelerations and their generalized space–time transformations with minimal departure from the Lorentz transformations. The requirement of limiting four-dimensional symmetry of the Lorentz and Poincaré groups assures that the generalized transformations reduce to the Lorentz transformations in the limit of zero acceleration. This suggests that the space–time coordinates xμ of accelerated frames are as meaningful as those of inertial frames. A flexibility and "gauge invariance" of the time for noninertial frames are discussed. These properties and the changes in the space–time of accelerated frames are shown graphically, including singularities and horizons. Physical implications of various accelerated transformations related to accelerated lifetime or decay-length dilations are predicted for experimental test.

THE DEVELOPMENT OF THE GRAVITATIONAL AND YANG–MILLS FIELDS, AND THE TREATMENT OF ACCELERATED FRAMES

2005 ◽  
Vol 20 (32) ◽  
pp. 7485-7504 ◽  
Author(s):  
JONG-PING HSU ◽  
DANA FINE
Keyword(s):  
Quantum Gravity ◽  
Flat Space ◽  
Physical World ◽  
Space Time ◽  
Yang Mills ◽  
Inertial Frames ◽  
Theory Of Gravity ◽  
Mills Field ◽  
Time Transformations ◽  
Accelerated Frames

We discuss ideas and problems regarding classical and quantum gravity, gauge theory of gravity, and space–time transformations between accelerated frames. Both Einstein's theory of gravity and Yang–Mills theory are gauge invariant. The invariance principles are at the very heart of our understanding of the physical world. This paper attempts to survey the development and to reveal problems and limitations of various formulations to gravitational and Yang–Mills fields, and to space–time transformations of accelerated frames. Gravitational force and accelerated frames are two ingredients in Einstein's thought in the period around 1907. Accelerated frames are difficult to define and are not well developed. However, one cannot claim to have a complete understanding of the physical world, if one understands flat space–time physics only from the viewpoint of the special class of inertial frames and ignores the vast class of noninertial frames. The paper highlights three aspects: (1) ideas of gravity as a Yang–Mills field, first discussed by Utiyama; (2) problems of quantum gravity, discussed by Feynman, Dyson and others; (3) space–time properties and the physics of fields and particles in accelerated frames of reference. These unfulfilled aspects of Einstein and Yang–Mills' profound thoughts present a challenge to physicists and mathematicians in the 21st century.

scholarly journals Transformation Groups for a Schwarzschild-Type Geometry in f(R) Gravity

2016 ◽  
Vol 2016 ◽  
pp. 1-8
Author(s):  
Emre Dil ◽  
Talha Zafer
Keyword(s):  
Reference Frames ◽  
Inertial Frame ◽  
Flat Space ◽  
Space Time ◽  
Transformation Groups ◽  
Coordinate Transformations ◽  
Cartesian Coordinates ◽  
Curved Space ◽  
Inertial Frames ◽  
Accelerated Frames

We know that the Lorentz transformations are special relativistic coordinate transformations between inertial frames. What happens if we would like to find the coordinate transformations between noninertial reference frames? Noninertial frames are known to be accelerated frames with respect to an inertial frame. Therefore these should be considered in the framework of general relativity or its modified versions. We assume that the inertial frames are flat space-times and noninertial frames are curved space-times; then we investigate the deformation and coordinate transformation groups between a flat space-time and a curved space-time which is curved by a Schwarzschild-type black hole, in the framework of f(R) gravity. We firstly study the deformation transformation groups by relating the metrics of the flat and curved space-times in spherical coordinates; after the deformation transformations we concentrate on the coordinate transformations. Later on, we investigate the same deformation and coordinate transformations in Cartesian coordinates. Finally we obtain two different sets of transformation groups for the spherical and Cartesian coordinates.

scholarly journals Relativistic Reference Frames in Astrometry

1986 ◽  
Vol 7 ◽  
pp. 101-102
Author(s):  
C A Murray
Keyword(s):  
Coordinate System ◽  
Reference Frames ◽  
Inertial Frame ◽  
Space Time ◽  
Clock Time ◽  
Local Inertial Frame ◽  
Incoming Photon ◽  
Inertial Frames ◽  
Spatial Coordinates

Astrometry can be defined as the measurement of space-time coordinates of photon events. For example, in principle, in classical optical astrometry, we measure the components of velocity, and hence the direction, of an incoming photon with respect to an instrumental coordinate system, and the clock time, at the instant of detection. The observer’s coordinate system at any instant can be identified with a local inertial frame. In the case of interferometric observations, the measurements are of clock times of arrival of a wavefront at two detectors whose spatial coordinates are specified with respect to instantaneous inertial frames.

scholarly journals On the Lorentz Transformations of Momentum and Energy

2003 ◽  
Vol 18 (29) ◽  
pp. 2019-2027 ◽  
Author(s):  
M. Toller
Keyword(s):  
Mass Shell ◽  
Energy Parameter ◽  
Preceding Paper ◽  
Cosmic Ray ◽  
High Energy ◽  
Lorentz Transformations ◽  
Ultra High Energy ◽  
Inertial Frames

Motivated by ultra-high-energy cosmic ray physics, we discuss all the possible alternatives to the familiar Lorentz transformations of the momentum and the energy of a particle. Starting from natural physical requirements, we exclude all the possibilities, apart from the ones which arise from the usual four-vector transformations by means of a change of coordinates in the mass-shell. This result confirms the remark, given in a preceding paper, that, in a theory without preferred inertial frames, one can always define a linearly transforming energy parameter to which the GZK cutoff argument can be applied. We also discuss the connections between the conservation and the transformation properties of energy–momentum and the relation between energy–momentum and velocity.

scholarly journals SPACE-TIME TRANSFORMATIONS IN THE UPPER XINGU AND UPPER RIO NEGRO

2015 ◽  
Vol 5 (3) ◽  
pp. 699-724
Author(s):  
Geraldo Andrello ◽  
Antonio Guerreiro ◽  
Stephen Hugh-Jones
Keyword(s):  
Social Organization ◽  
Social Life ◽  
Space Time ◽  
Unequal Distribution ◽  
Rio Negro ◽  
The People ◽  
The Social ◽  
Esoteric Knowledge ◽  
Spatio Temporal ◽  
Time Transformations

Abstract The multi-ethnic and multilingual complexes of the Upper Rio Negro and the Upper Xingu share common aspects that frequently emerge in ethnographies, including notions of descent, hierarchical social organization and ritual activities, as well as a preference for forms of exogamy and the unequal distribution of productive and ritual specialties and esoteric knowledge. In this article we investigate how the people of both regions conceive of their humanity and that of their neighbours as variations on a shared form, since in both regions ritual processes for negotiating positions and prerogatives seems to take the place of the latent state of warfare typical of the social life of other Amazonian peoples. In this article we will synthesize, for each region, the spatio-temporal processes that underscore the eminently variable constitution of collectivities, seeking, in conclusion, to isolate those elements that the two regions have in common.

scholarly journals GHOST COHOMOLOGIES AND HIDDEN SPACE–TIME SYMMETRIES

2007 ◽  
Vol 22 (13) ◽  
pp. 2441-2459 ◽  
Author(s):  
DIMITRI POLYAKOV
Keyword(s):  
Space Time ◽  
Vertex Operators ◽  
Superstring Theory ◽  
Global Space ◽  
Brst Invariance ◽  
Time Transformations

We observe and study new nonlinear global space–time symmetries of the full ghost + matter action of RNS superstring theory. We show that these surprising new symmetries are generated by the special worldsheet currents (physical vertex operators) of RNS superstring theory, violating the equivalence of superconformal ghost pictures. We review the questions of BRST-invariance and nontriviality of picture-dependent vertex operators and show their relation to hidden space–time symmetries and hidden space–time dimensions. In particular, we relate the space–time transformations, induced by picture-dependent currents, to the symmetries observed in the 2T physics approach.

scholarly journals Space-time transformations of the Born-Infeld gauge field of a D-brane

2011 ◽  
Vol 84 (2) ◽  
Author(s):  
Roberto Casalbuoni ◽  
Joaquim Gomis ◽  
Kiyoshi Kamimura
Keyword(s):  
Gauge Field ◽  
Space Time ◽  
Time Transformations
Sign in / Sign up

Export Citation Format

Share Document