Conservation of spatial volume and the emergence of gravity and electromagnetism

Abstract

The universe is a structured, logical system obeying many natural laws. This essay proposes an additional law termed the conservation of spatial volume. This refers to spacetime’s ability to be displaced, compressed, expanded, and stretched to conserve geometric volume. In addition, space appears to possess Cauchy-like elasticity characteristics measured by the gravitational constant G. It is postulated that space has qualities of an energy density field, which is termed the “spatial energy field” or SEF in this essay. The SEF in all of its parts is a metric of energy field curvature tensors assigned to every coordinate in spacetime. It is proposed that space resists volume displacement by mass and reacts with a counter-force equal to the object’s inertia mass. This is because the compression of space from the displacement of mass creates a gravitational field. The gravitational field represents an increase in spatial density surrounding the object. An increase in spatial density is measured by the change in permittivity ε, permeability μ, and refractive index n, physical parameters of the vacuum. Thus, gravity would be considered an emergent response of spacetime attempting to conserve its volume by the reciprocal curvature force of space. In regard to electromagnetism, electric and magnetic fields are geometric in origin and, therefore, part of spacetime. It is proposed that spacetime has specific properties related to the emergence of electrical fields via the Poynting vector. This is influenced by electric permittivity εo. Magnetic fields appear to emanate from space based on the Lorentz force. This is influenced by magnetic permeability μo. Both the Poynting vector energy flow and the corresponding Lorentz force are the reaction of space counteracting forces of electricity and magnetism while conserving spatial volume. It appears that electromagnetism could be considered a twisting torsion of spacetime. Space appears to mediate electrical and magnetic fields; it provides a framework for transmitting electromagnetic waves as well as momentum-gravitational waves. Gravity and electromagnetism are related, emerging from a common origin, which appears to be the energy of spacetime itself.