Abstract

The non-empty space approach to Maxwell’s equations reveals the analytical solution with the continuous radial density of the extended astroparticle. The principle of equivalence works universally for active/passive masses and for active/passive electric charges. The Maxwell equations for complex continuous charges become four-vector identities for locally-compensated flows of active (yang) and passive (yin) energies. The Einstein formula for relativistic mass-energy can be supplemented by the imaginary energy of electricity. Cartesian relativistic physics should have its own non-dual analog of the Einstein equation.

Highlights

  • Cartesian physics [1,2] of material space is currently described only in qualitative terms and without quantitative predictions of specific phenomena for the theory verification/falsification procedure

  • The nonlocal reading of extended electric and inertial charges may be useful for those researchers who would like to look at the world holism and Cartesian nonlocality beyond the operator procedures of quantum mechanics

  • The interference energy densities of bipoles can be justified for electrodynamics and gravitation only from calculations, but not from direct observations and measurements. Another universal law of this Cartesian physics for the system of continuous material fields is the exact compensation of post Coulomb/Newton active energies (12) by the self-action of passive charged densities from (11) in their relativistic potential (10):

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Summary

Introduction

Cartesian physics [1,2] of material space is currently described only in qualitative terms and without quantitative predictions of specific phenomena for the theory verification/falsification procedure. Material bodies cannot be replaced, according to Aristotle’s logical proof, with a completely empty, intangible place outside the continuous space-plenum Descartes followed this logical avenue and eventually offered his vortex mechanics for the spatial transport of variable energy charges. Our initial idea is that the science motto ‘Nullius in verba’ may coherently replace the supposed empty space (between the localized charges) with the Aristotle space plenum of charged material fields This will assist to give up the unnecessary concept of Newton’s point-like particles and to modify the old building of classical electrodynamics by strong field analytical solutions without energy divergence. The nonlocal reading of extended electric and inertial charges may be useful for those researchers who would like to look at the world holism and Cartesian nonlocality beyond the operator procedures of quantum mechanics. Fundamental thought experiments and universal dialectical ideas should dominate the further evolution of relativistic physics and its mathematical support

Coulomb Fields within Continuous Astrocharges
Maxwell Equations Are Quantitative Identities for Paired Energy Flows
Discussion
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