Emergence of Space-Time and Gravitation
Walter Smilga
Geretsried, Germany.
DOI: 10.4236/jmp.2013.47129   PDF    HTML     4,646 Downloads   6,555 Views   Citations


In relativistic quantum mechanics, elementary particles are described by irreducible unitary representations of the Poincaré group. The same applies to the center-of-mass kinematics of a multi-particle system that is not subject to external forces. As shown in a previous article, for spin-1/2 particles, irreducibility leads to a correlation between the particles that has the structure of the electromagnetic interaction, as described by the perturbation algorithm of quantum electrodynamics. The present article examines the consequences of irreducibility for a multi-particle system of spinless particles. In this case, irreducibility causes a gravitational force, which in the classical limit is described by the field equations of conformal gravity. The strength of this force has the same order of magnitude as the strength of the empirical gravitational force.

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W. Smilga, "Emergence of Space-Time and Gravitation," Journal of Modern Physics, Vol. 4 No. 7, 2013, pp. 963-967. doi: 10.4236/jmp.2013.47129.

Conflicts of Interest

The authors declare no conflicts of interest.


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