scholarly journals Physical Justifications and Possible Astrophysical Manifestations of the Projective Theory of Relativity

Universe ◽  
2019 ◽  
Vol 5 (1) ◽  
pp. 13
Author(s):  
Jacques L. Rubin

The ‘projective theory of relativity’ is a theory developed historically by Oswald Veblen and Banesh Hoffmann, Jan Arnoldus Schouten and David van Dantzig. This theory differs radically from Kaluza-Klein/conformal type theories of spacetime, although it shares with these theories geometric aspects in five-dimensional spaces. The peculiarity of the projective geometries involved in this theory was that it is based on spaces coordinated by five so-called ‘homogeneous coordinates.’ Since then, no physical observables could be ascribed to these five homogeneous coordinates and, in particular, during the elaboration of this theory which consequently fell completely into oblivion. We will present how this projective theory of relativity can be fully justified physically from the causal structures and localizing protocols involved in so-called ‘relativistic localizing systems’ that extend ‘relativistic positioning systems.’ We explain the correspondence between ‘homogeneous coordinates’ of the projective theory of relativity and the physical observables defined in relativistic localizing systems. Then, possible astrophysical manifestations will be presented based on projective effects, invariance of interactions, or observations with respect to projective transformations.

Although there are some changes in method and in some places in the notation in this paper, which make it differ somewhat from the two papers I and II recently published in these ‘Proceedings,’ the same principle and object underlie it, and we may regard it as paper III of the series. It is believed that the alterations made and the manner of introducing the quantum equations make the presentation in the present form more elegant and that the theory is more satisfactory as a unitary theory. The quantum equations are made to emerge from a rather simple conception of a matrix length, of which the square may be identified as the square of the length of the theory of relativity. We begin with a discussion of the geodesics in a five-dimensional continuum and make certain changes both in the constants and in the point of view regarding the nature of the path of the electron in this space. The effect is to remove a difficulty with regard to the Kaluza-Klein cylindrical type of space.


2010 ◽  
Vol 25 (32) ◽  
pp. 2727-2743 ◽  
Author(s):  
WEI XU ◽  
LIU ZHAO ◽  
BIN ZHU

A five-dimensional Einstein spacetime with (non)vanishing cosmological constant is analyzed in detail. The metric is in close analogy with the four-dimensional massless uncharged C-metric in many aspects. The coordinate system, horizons and causal structures, relations to standard form of de Sitter, anti de Sitter and Minkowski vacua are investigated. After a boost and Kaluza–Klein reduction, we get an exact solution of four-dimensional Einstein–Maxwell–Liouville theory which reduces to a solution to Einstein–Liouville theory in the limit of zero boost velocity and to that of Einstein–Maxwell–dilaton theory in the case of zero cosmological constant.


2007 ◽  
Author(s):  
Ralf Mayrhofer ◽  
Michael R. Waldmann ◽  
York Hagmayer
Keyword(s):  

Author(s):  
Leemon B. McHenry

What kinds of things are events? Battles, explosions, accidents, crashes, rock concerts would be typical examples of events and these would be reinforced in the way we speak about the world. Events or actions function linguistically as verbs and adverbs. Philosophers following Aristotle have claimed that events are dependent on substances such as physical objects and persons. But with the advances of modern physics, some philosophers and physicists have argued that events are the basic entities of reality and what we perceive as physical bodies are just very long events spread out in space-time. In other words, everything turns out to be events. This view, no doubt, radically revises our ordinary common sense view of reality, but as our event theorists argue common sense is out of touch with advancing science. In The Event Universe: The Revisionary Metaphysics of Alfred North Whitehead, Leemon McHenry argues that Whitehead's metaphysics provides a more adequate basis for achieving a unification of physical theory than a traditional substance metaphysics. He investigates the influence of Maxwell's electromagnetic field, Einstein's theory of relativity and quantum mechanics on the development of the ontology of events and compares Whitehead’s theory to his contemporaries, C. D. Broad and Bertrand Russell, as well as another key proponent of this theory, W. V. Quine. In this manner, McHenry defends the naturalized and speculative approach to metaphysics as opposed to analytical and linguistic methods that arose in the 20th century.


1988 ◽  
Vol 156 (9) ◽  
pp. 137-143 ◽  
Author(s):  
Anatolii A. Logunov ◽  
Yu.V. Chugreev

1988 ◽  
Vol 155 (7) ◽  
pp. 517-527 ◽  
Author(s):  
Ya.B. Zel'dovich ◽  
Leonid P. Grishchuk

1985 ◽  
Vol 146 (8) ◽  
pp. 655 ◽  
Author(s):  
I.Ya. Aref'eva ◽  
I.V. Volovich
Keyword(s):  

2012 ◽  
Vol 2 (3 - 4) ◽  
pp. 117
Author(s):  
Jeison Daniel Salazar Pachón ◽  
David Armando Chaparro Obando ◽  
Nicolás Tordi

<p>El presente estudio examinó  la confiabilidad de los registros de dos sistemas de posicionamiento global (<em>global positioning systems  </em>[GPS]), Garmin310XT y FRWDB600,  sobre  las distancias  recorridas a diferentes  velocidades,  tras un protocolo a pie y otro  en bicicleta realizados  en una pista atlética.  Esta información se comparó con el trayecto  real de recorrido, hecho a partir  del cálculo: <em>ritmo de recorrido (r) = distancia recorrida (d) x tiempo  de recorri- do, </em>y se controló con un metrónomo Sport Beeper. Los participantes fueron dos jóvenes de edad  media  22 años  ± 1, activos  físicamente. En los resultados, se observaron diferencias  entre los registros de ambos sistemas GPS; el protocolo a pie Garmin tuvo un porcentaje de concordancia de 101,1%, mientras que FRWD presentó  103%. En el protocolo en bicicleta se obtuvo 103,4% y 101,6%, respectivamente. Se concluyó  que el uso de GPS es más fiable cuando  las velocidades  de desplazamiento humano son bajas  o moderadas  para  el sistema Garmin  (7-14 km/h), ya que al ser más altas la fiabilidad  de la información podría  ser menor, mientras  que el sistema FRWD presentó  mayor confiabilidad en velocidades moderadas (14-22 km/h).</p>


2011 ◽  
Vol 1 (2) ◽  
pp. 117
Author(s):  
Jeison Daniel Salazar Pachón ◽  
David Armando Chaparro Obando ◽  
Nicolás Tordi

El presente estudio examinó  la confiabilidad de los registros de dos sistemas de posicionamiento global (<em>global positioning systems  </em>[GPS]), Garmin310XT y FRWDB600,  sobre  las distancias  recorridas a diferentes  velocidades,  tras un protocolo a pie y otro  en bicicleta realizados  en una pista atlética.  Esta información se comparó con el trayecto  real de recorrido, hecho a partir  del cálculo: <em>ritmo de recorrido (r) = distancia recorrida (d) x tiempo  de recorrido, </em>y se controló con un metrónomo Sport Beeper. Los participantes fueron dos jóvenes de edad  media  22 años  ± 1, activos  físicamente. En los resultados, se observaron diferencias  entre los registros de ambos sistemas GPS; el protocolo a pie Garmin tuvo un porcentaje de concordancia de 101,1%, mientras  que FRWD presentó  103%. En el protocolo en bicicleta se obtuvo 103,4% y 101,6%, respectivamente. Se concluyó  que el uso de GPS es más fiable cuando  las velocidades  de desplazamiento humano son bajas  o mo- deradas  para  el sistema Garmin  (7-14 km/h), ya que al ser más altas la fiabilidad  de la información podría  ser menor, mientras  que el sistema FRWD presentó  mayor confiabilidad en velocidades moderadas (14-22 km/h).


Sign in / Sign up

Export Citation Format

Share Document