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I. E. Bulyzhenkov

Publications and source records attributed to I. E. Bulyzhenkov.

17 recordsLinked to original sources

Monistic reduction of Einstein's Equation for self-gravitating field masses

The divergence of relativistic accelerations generates field masses and the corresponding Ricci scalar in the gravitational integral of the Hilbert action. The covariant description of the elastic hierarchy with a specific time flow and Euclidean 3-section in the pseudo-Riemannian manifold is based on the monistic analogue of the Einstein Equation for a field mass with nonlocal inertia and self-gravity. The elastic autodynamics of metrically correlated densities correspond to Bianchi vector identities for material fields of continuous masses. The local time invariant generates a primary reason for scalar mass densities and their local self-acceleration in a nonlocal hierarchy, rather than distant gravitational forces in the dualistic theory of pairwise interactions. Time should be studied experimentally as the (yin) inhomogeneous substance behind the (yang) observable densities of monistic matterspace with elastic hierarchies of nonlocal masses and their slow inelastic exchange.

physics.gen-ph↗

Quantum inertia of non-local matterspace with kinetic and metric counter-stresses

New microscopic geodesics with local balances of kinetic and metric four-potentials can maintain the non-local mass mechanism of continuous matterspace due to positive energies of kinetic micro-oscillations. The monistic pan-unity of the inertial continuum of kinetic energy is quantitatively substantiated by the Lomonosov local push on macroscopic densities in inverse square interactions of visible bodies. The monistic mechanics of inertial fields replaces the dual model of separated particles and their pulling fields or forces at a distance. The positive kinetic pressure of Poincare withstands the metric stress for equilibrium densities and prevents the radial collapse of non-local self-organizations, despite the observed fall of probe (extremely dense) densities in rarefied regions of the correlated continuum of the emerging mass-energy. The four-dimensional geometrization with the inherent sub-symmetries for flat matterspace and adaptive kinetic-metric time can be useful for modeling stationary and auto-pulsing astrosystems, as well as for the modeling of vortex hydrodynamics with non-local feedback and micro-macro-mega-entanglement in the monistic field of quantum inertia.

physics.gen-ph↗

Significance of gyropotentials in metric theory of inertia

The constancy of orbital velocities of peripheral stars in a spiral galaxy points to a potential regime of co-rotation together with the interstellar densities of the galactic disk. The Einstein gyropotential rises to the evolutionary constant of a self-rotating metric profile, while the Newtonian potential falls radially. Gyropotential in vortex self-organizations creates centripetal gyroforces that prevail over Newtonian attraction of probe bodies at large distances from the axis of rotation. For practical verifications, the 1914 geodesic relations of Einstein predict the inverse distance velocities for retrograde stars. For the solar system, gyrometric corrections of Newtonian forces under transitions to the potential circulation in material vortexes can be sought in the Kuiper Belt, the peripheral rings of Saturn and high equatorial orbits around other planets.

physics.gen-ph↗

Gravitational attraction until relativistic equipartition of internal and translational kinetic energies

Translational ordering of the internal kinematic chaos provides the Special Relativity referents for the geodesic motion of warm thermodynamical bodies. Taking identical mathematics, relativistic physics of the low speed transport of time-varying heat-energies differs from Newton's physics of steady masses without internal degrees of freedom. General Relativity predicts geodesic changes of the internal heat-energy variable under the free gravitational fall and the geodesic turn in the radial field center. Internal heat variations enable cyclic dynamics of decelerated falls and accelerated takeoffs of inertial matter and its structural self-organization. The coordinate speed of the ordered spatial motion takes maximum under the equipartition of relativistic internal and translational kinetic energies. Observable predictions are discussed for verification/falsification of the principle of equipartition as a new basic for the ordered motion and self-organization in external fields, including gravitational, electromagnetic, and thermal ones.

physics.gen-ph↗

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.

physics.gen-ph↗

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.

physics.gen-ph↗

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.

physics.gen-ph↗

Electromagnetic origin of mass due to folded pseudo-coordinates

Nullification of the Einstein tensor curvature for the elementary material space with active gravitational field (radial source) and passive field distribution of its inertial particle (radial sink) maintains the conceptual equivalence of collinear active and passive energy-momentum densities of the nonlocal energy-matter carrier in General Relativity (GR). The Ricci scalar curvature in the Lagrangian for electron's material space is related to active and passive real mass densities with residual positive energy, while electromagnetic (EM) active and passive imaginary mass densities produce a traceless energy density. One four-potential in geometrical sink-source identities universally forms gravitational and electromagnetic fields of the complex mass current. EM vector equalities balance anti-collinear four flows of active and passive imaginary masses (called electric charges). Similar GR vector equalities take into account twin coupling of inseparable unlike mass densities existing due to the forth-coordinate symmetry, $ dt = |\pm idx^4/c|$, in the Minkowski four-interval. Two equal pseudo-coordinates $\pm ix^o\equiv \pm x^4 $ serve for equal unlike masses of the same inertial body that results in collinear active and passive four-currents of real masses with net energy-momentum for collisions and measurements. Couples of unlike twin masses can simultaneously radiate-absorb paired vector waves with zero-balanced Poynting flows for real-time observations in the two-body gravitational system. Such paired vector waves form tensor gravitons which cannot be screened by third bodies or intercepted by interferometers.

physics.gen-ph↗

Were the ancient Greeks right that space is continuous material plenum?

All visible bodies are bound dense vertices of overlapping astroparticles with extremely weak r^{-4} radial densities of elementary (and summary) matter beyond human perception and instrumental resolutions. The non-empty material space of the ancient Greeks have mathematical grounds in the self-consistent reading of Maxwell's phenomenology and Einstein's gravitation through continuous radial sources of classical fields.

physics.gen-ph↗

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.

physics.gen-ph↗

Nonlocal Astroparticles in Einstein's Universe

Gravitational probes should maintain spatial flatness for Einsten-Infeld-Hoffmann dynamics of relativistic matter-energy. The continuous elementary source/particle in Einstein's gravitational theory is the r^{-4} radial energy density rather than the delta-operator density in empty-space gravitation. The space energy integral of such an infinite (astro)particle is finite and determines its nonlocal gravitational charge for the energy-to-energy attraction of other nonlocal (astro)particles. The non-empty flat space of the undivided material Universe is charged continuously by the world energy density of the global ensemble of overlapping radial particles. Nonlocal gravitational/inertial energy-charges incorporate Machian relativism quantitatively into Einstein's gravitation for self-contained SR-GR dynamics without references on Newton's mass-to-mass attraction.

physics.gen-ph↗

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.

physics.gen-ph↗

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.

physics.gen-ph↗

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.

physics.gen-ph↗

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.

gr-qc↗