Contrastive analysis of two energy gradients in the ultra-strong magnetic fields

Abstract

The paper aims to apply the complex-octonions to explore the variable gravitational mass and energy gradient of several particles in the external ultra-strong magnetic fields. J. C. Maxwell was the first to introduce the algebra of quaternions to study the physical properties of electromagnetic fields. Some scholars follow up this method in the field theories. Nowadays, they employ the complex-octonions to analyze simultaneously the physical quantities of electromagnetic and gravitational fields, including the field potential, field strength, field source, linear momentum, angular momentum, torque, and force. When the octonion force is equal to zero, it is able to deduce eight independent equilibrium equations, especially the force equilibrium equation, precession equilibrium equation, mass continuity equation, and current continuity equation. In the force equilibrium equation, the gravitational mass is variable. The gravitational mass is the sum of the inertial mass and a few tiny terms. These tiny terms will be varied with not only the fluctuation of field strength and of potential energy, but also the spatial dimension of velocity. The study reveals that it is comparatively untoward to attempt to measure directly the variation of these tiny terms of gravitational mass in the ultra-strong magnetic field. However it is not such difficult to measure the energy gradient relevant to the variation of these tiny terms of gravitational mass. In the complex-octonion space, the gravitational mass is a sort of variable physical quantity, rather than an intrinsic property of any physical object. And this inference is accordant with the academic thought of `the mass is not an intrinsic property any more' in the unified electro-weak theory.

References in corpus (28)

• Test of the Equivalence Principle Using a Rotating Torsion Balance
• Test of Equivalence Principle at $10^{-8}$ Level by a Dual-species Double-diffraction Raman Atom Interferometer
• Test of Einstein Equivalence Principle for 0-spin and half-integer-spin atoms: Search for spin-gravity coupling effects
• Theoretical Aspects of the Equivalence Principle
• Electromagnetic fields in curved spacetimes
• Octonionic Electrodynamics
• Declining rotation curves of galaxies as a test of gravitational theory
• Quantum Test of the Equivalence Principle and Space-Time aboard the International Space Station
• Generalized Octonion Electrodynamics
• Octonic Electrodynamics
• Composite system in noncommutative space and the equivalence principle
• Tests of the universality of free fall for strongly self-gravitating bodies with radio pulsars
• Correlative methods for dual-species quantum tests of the weak equivalence principle
• Tests of the Einstein Equivalence Principle using TeV Blazars
• Generalized Split-Octonion Electrodynamics
• Quaternion Gravi-Electromagnetism
• Quaternions, Lorentz Group and the Dirac Theory
• Forces in the complex octonion curved space
• Satellite Eötvös Test of the Weak Equivalence Principle for Zero-Point Vacuum Energy
• The Equivalence Principle in a Quantum World
• Axial anomaly and the triality symmetry of octonion
• Determination of the Equivalence Principle violation signal for the MICROSCOPE space mission: optimization of the signal processing
• Dynamic of astrophysical jets in the complex octonion space
• Test of the Equivalence Principle in the Dark Sector on Galactic Scales
• Expanded solar-system limits on violations of the equivalence principle
• Quaternion Octonion Reformulation of Grand Unified Theories
• Electroweak-Higgs Unification and the Higgs Boson Mass
• Gravitational mass and energy gradient in the ultra-strong magnetic fields

Cited by in corpus (4)

• Quaternionic approach on the Dirac-Maxwell, Bernoulli and Navier-Stokes equations for dyonic fluid plasma
• Precessional angular velocity and field strength in the complex octonion space
• Torques and angular momenta of fluid elements in the octonion spaces
• Frequencies of astrophysical jets and gravitational strengths in the octonion spaces