arXiv:physics/9811055v2 [physics.gen-ph] 15 May 1999 Electrogravity of extended charges I E Bulyzhenkov Institute of Spectroscopy, Russian Academy of Sciences, Troitsk, 142092 Moscow Region, Russia Abstract. Non-dualistic field equations are derived from variation of the intro- duced action for the unified particle-field object located on light cone. The electrodynamic references lead Einstein’s covariant formalism to a self-contained theory, which independently reproduces the nonrela- tivistic limit. Accepting 3D intersections of extended masses, general relativity explains the measured gravitational phenomena under flat three-space and overcomes the conventional difficulties for electromag- netic origin of gravitation. The Einstein-type equation follows directly from the tetrad Maxwell-type equation for the gauge electrogravity. Laboratory tests might be developed to verify the particle-field unifi- cation for the united space-charge-mass continuum with Euclid’s 3D geometry and electromechanical dilation-compression of time. PACS numbers: 04.50.+h, 11.15.-q, 12.10.-g, 74.20.-z 1. Introduction Covariant equations for matter were originally derived for independent carri- ers of mass and charge [1]. But one elementary object N can carry both electric, q N , and gravitomechanical (mass), m N , charges. Gravity or acceleration can lead, for example, to a separation of opposite electric charges within an elec- troneutral medium with free electrons [2,3]. The induced electromagnetic fields under such separation depend essentially on the mass - charge ratio of carriers, while the mass of a carrier is not relevant in Maxwell’s equations. The joint carrier for formally separated gravity and electromagnetism suggests that it is necessary to search for new variables for the classical Lagrangian of charged matter. The immediate task may be to derive at least one dynamic equation including the ratio of electric and gravitomechanical charges of material carriers. The canonical four-momentum P N µ ≡ m N V µ + q N A =N µ seems to be one of the most appropriate notions for description of a charged object N in its four-space with the proper metric tensor g N µν (x) ≡ η µν + g =N µν (x)(g N µν (x) ≡ g µν , for short; η µν = diag(+1, −1, −1, −1)), determined by all external objects K (i.e. K = N, that is noted by = N ). In all our applications the canonical four-momentum P Nµ of an elementary object N at its material point x depends on the elementary gravitomechanical four-momentum p N µ ≡ m N V µ and the elementary electric four-momentum q N A =N µ (with the external electromagnetic 1