Quantum relativity theory and quantum space-time

1984 ◽  
Vol 23 (11) ◽  
pp. 1043-1063 ◽  
Author(s):  
Miklós Banai
Keyword(s):  
Space Time ◽  
Relativity Theory ◽  
Quantum Space ◽  
Quantum Relativity

Сonanical quantum space-time and the arrow time

2020 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
Space Time ◽  
Quantum Space

Сonanical quantum space-time and the arrow time

scholarly journals Quantum space–time and classical gravity

1998 ◽  
Vol 39 (1) ◽  
pp. 423-442 ◽  
Author(s):  
J. Madore ◽  
J. Mourad
Keyword(s):  
Space Time ◽  
Quantum Space ◽  
Classical Gravity

Quantum poincaré group for isotropic quantum space-time

1994 ◽  
Vol 44 (11-12) ◽  
pp. 1101-1107
Author(s):  
Kordian Andrzej Smoliński
Keyword(s):  
Space Time ◽  
Quantum Space ◽  
Poincaré Group ◽  
Poincare Group

scholarly journals A contribution to modern ideas on the quantum theory

1927 ◽  
Vol 115 (770) ◽  
pp. 208-214
Keyword(s):  
Quantum Theory ◽  
Kinetic Energy ◽  
Line Element ◽  
Natural Extension ◽  
Space Time ◽  
Relativity Theory ◽  
Unit Mass ◽  
The World ◽  
Free Particles ◽  
Theory Of Gravitation

The relativity theory of gravitation indicates that space-time is a four dimensional continuum in which the line element is measured by the equation ( ds ) 2 = g mn dx m dx n , (1) the notation being that generally adopted. The world-lines or natural tracks of free particles in this space are geodesics. From (1) we have g mn dx m /ds . dx n /ds = 1, (2) the quantity on the left being an expression corresponding to the kinetic energy of ordinary dynamics for a particle of unit mass. This correspondence is readily appreciated if it be noted that dx m /ds is the natural extension of the velocity, dx m /dt .

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