Superfluid Mass-Energy Densities of Nonlocal Particle and Gravitational Field

Geometrization of Radial Particles in Non-Empty Space Complies with Tests of General Relativity

“…Our main goal was to reinforce spatial flatness for real, non-point matter in a line of the original Entwurf geometrization of fields, rather than to discuss other consequences of the selfcontained SR-GR metric scheme [2,16]. In order to achieve this main goal, we derived quantitative geodesic predictions for Mercury's perihelion precession, Mercury's radar echo delay, and the gravitational light deflection by the Sun in strictly flat three-space without references on the 1915 GR equations at all.…”

“…Record measurements of flat material space beyond the present limit 10 might not be required for confirmation of the residual EM nature of elementary masses under their Einsteintype geometrization. Once chiral symmetry for hadrons was violated at , then this mass-forming symmetry was equally violated in the entire nonlocal structure of the superfluid astroparticle [2] or in its infinite material space. Non-empty Euclidean 3-space does match curved 4D space-time in metric gravitation.…”

“…s Relativity may modify Schwarzschild-type metric solutions based on curved three-space around non-physical point singularities for GR energy-sources [2]. Moreover, the calculated ratio…”

“…Below we accept the ideal global overlap of all elementary energy flows in all points of their joint 3D space, which is associated with the superposition of flat material 3-sections of curved elementary 4D manifolds. We shall rely on superfluid, self-coherent states of extended elementary particle (called the astroparticle due to its infinite spatial distribution [2]) between drag collisions and dissipation events. At the same time, 3D overlap of such self-coherent radial distributions can rarely exhibit, due to drag collisions, summary superfluid states of identical bosons, while 3D energy ensembles of extended fermions can exhibit only ideal summary flows without joint coherent properties.…”

Densities of electron’s continuum in gravitational and electromagnetic fields

“…Being independent from probabilities, the classical theory of continuous fields needs the nonempty space paradigm in order to describe satisfactorily distributed elementary mass of an extended particle. This paradigm reveals the physical meaning of the scalar Ricci curvature in terms of mass densities of a distributed carrier of continuous mechanical inertia and gravitational field [1,2]. Continuous densities of electron's mass and charge can indeed comply with equations of the classical field theory.…”