From General Gravity to Einstein's

Details From General Gravity to Einstein's From General Gravity to Einstein's

Jun 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006aipc..841..471j&link_type=abstract

A CENTURY OF RELATIVITY PHYSICS: ERE 2005; XXVIII Spanish Relativity Meeting. AIP Conference Proceedings, Volume 841, pp. 471-4

Physics

Quantum Gravity

Scientific paper

Not only Einstein's general ideas about gravity, but also his specific field equation (E) have been excellently confirmed in astronomy. Hence one also applies it to other macroscopic problems (hydrodynamic stellar models) and to quantum gravity. There, however, (E) can only be tested in a tiny region just off the mass shell K2 = 0 of free gravitons. One nevertheless believes (E) to hold even at `high energies' (the popular expression for large, Lorentz-invariant √|K2|), perhaps for all √|K2| < MPl with Planck's MPl = (8π GNewton)-1/2. We rather accept (E) only as the infrared limit of a more basic equation (W), which involves Weyl's conformal curvature tensor. We cannot justify (W) or specify its behavior at low and high K by observations or experiments; only connections with particle theories can help. We thus have examined the effect of gravity on the infrared structure of the electron. As a most striking and firm conclusion, we find the huge M Pl totally irrelevant at high `energies'. It merely arises in the infrared transition from the general (W) to the well observed (E).

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