Strict spatial flatness has been proved by the Aharonov-Bohm Effect

Would 3D space be non-Euclidean in physical reality then curved metric should destroy the Aharonov-Bohm Effect.Comment: 4 page

Densities of Electron's Continuum in Gravitational and Electromagnetic Fields

Relativistic dynamics of distributed mass and charge densities of the extended classical particle is discussed for arbitrary gravitational and electromagnetic fields. Vector geodesic relations for material space densities are consequences of tensor gravitational equations for continuous sources and their fields. Classical four-flows of elementary material space depend on local four-potentials for charged densities, like in quantum theory. Six electromagnetic intensities can describe satisfactorily only the simplest, potential kind of continuous matter motion.Comment: 7 page

How to test vector nature of gravity

The covariant scheme is proposed to couple gravity and electrodynamics in pseudo-Riemannian four-spaces with electromagnetic connections. Novel dynamics of the extended charge and electromagnetic dilation-compression of its proper time can be tested in non-relativistic experiments. The vector equations acknowledge unified photon waves without metric modulations of flat laboratory space.Comment: 4 pages, Late

Cartesian nature of equal active and passive energies

The Cartesian material space approach to Maxwell's equations reveals the analytical solution of the continuous radial density for the extended elementary charge. Radial charges and their Coulomb fields carry equal passive and active imaginary energies. The Einstein mass-energy formula can be updated for electricity in complex numbers. The Principle of Equivalence works universally for active/passive masses and for active/passive electric charges. Maxwell's equations for complex continuous charges become 4-vector identities for locally paired flows of energies that correspond to the Chinese yin-yang approach to the nature. Cartesian relativistic physics has its own nondual analog of the Einstein Equation, which leads to geodesic equations for the motion of Ricci material densities and to vortex states of the elementary mass-extension. Non-empty space physics modifies the Navier-Stokes equation by kinematic "living forces". This inertial feedback enables a conceptual choice between Newtonian and Cartesian universes (with localized or extended elementary masses, respectively) because of new predictions of pressure and temperature gradients across laboratory flows of liquids and gases

Confined gravitational waves for chiral matter with heat

The GR wave self-heating of geodesic massive bodies with constant thermo-gravimechanical energies increases the brightness-to-charge ratio along spiral radial transitions in the energy-to-energy gravitation. Paired confined gravitons locally warm accelerated matter that suggests the thermodynamical origin of electromagnetic outbursts with oscillating Wien's displacements. Damping of orbital periods by chiral GR waves is more efficient for neutron stars around giant companions than for binary pulsars.Comment: 2 page

Relativistic Quantization of Cooper Pairs and Distributed Electrons in Rotating Superconductors

Relativistic time synchronization along closed integral lines maintains magnetic flux quantization independently from gravitation. All Fermi-volume electrons form time-averaged electromagnetic fields within rotating conductors, while Fermi-surface superelectrons enable flux quantization in SQUID experiments. Inertia is not related to instantaneous self-coherent states of the distributed electric charge and, therefore, the Cooper pair mass can not be measured in principle from magnetic flux quantization.Comment: For physical interpretations of SQUID measurements and Sommerfeld quantizatio

Complex energy flows in non-empty space for double unification of particles with fields and charges with masses

Non-empty space reading of Maxwell equations as local energy identities explains why a Coulomb field is carried rigidly by electrons in experiments. The analytical solution of the Poisson equation defines the sharp radial shape of charged elementary densities which are proportional to continuous densities of electric self-energy. Inward and outward longitudinal waves within the continuous electron reshape its radial energy structure in external fields. Both Coulomb field and radial charge densities are free from energy divergences. Non-empty space of electrically charged mass-energy can be described by complex analytical densities resulting in real values for volume mass integrals and in imaginary values for volume charge integrals. Imaginary electric charges in the Newton gravitational law comply with real Coulomb forces. Unification of forces through complex charges rids them of radiation self-acceleration.Comment: 14 pages, non-empty space solutions, continuous complex charge, unification, non-dual physic

Astroelectrons as Non-Dual Field Solutions

The continuous charge density of the r^{-4} radial astroelectron is found analytically from the Maxwell-Lorentz equations. The electric charge is not a basic concept, but is the nonlinear field distribution associated with the elementary self-energy density. The Poisson equation for the unified field carrier in non-dual electrodynamics locally relates the post-Coulomb potential with the energy-charge density. The local Maxwell equations maintain the global overlap of nonlocal electric energy-charges in the undivided Universe.Comment: 4 page

About the nonlocal particle-field matter

We propose that particles are associated both with localized macroscopic states at point vertices and with extended microscopic states at all vacuum points. The self-fields screen the microscopic particle currents everywhere except at the particle vertex, observed as a point mass/charge carrier of such a nonlocal particle-field object. All vertices are excluded from the microscopic Maxwell-Lorentz and Einstein-type equations for elementary objects with continuous particle densities. The geodesic particle motion depends on a vector force with unified electromagnetic and gravitational components. The advanced gravitational wave, which will never come from infinity at finite times, and the retarded electromagnetic wave are vector anti-waves. Curved pseudo-Riemannian space-time always maintains flat 3D space that is in agreement with the measurements of planetary perihelion precession, gravitational light bending, radar echo delay, and the nearly isotropic 2.73K cosmic microwave background. The developed synthesis of gravity with electrodynamics and the particle with its field corresponds to the predicted way of double unification and the Rainich-Misner criterion.Comment: 26 pages, Late

NASA tests of Einstein's Universe call for non-empty space physics of nonlocal classical matter

LLR and GPB geodetic precessions have tested flatness for Einsten-Infeld-Hoffmann dynamics of distributed relativistic matterComment: Back to "Entwurf" 1913 flatspac