The space-time metric

In deriving a new Gravitational Tensor in a four dimensional Lorentzian space-time manifold, gravity is made compatible with the four dimensional Lorentzian electromagnetic vector potential. Having done that facilitates the development of a conversion formula between the new gravitational potential and a modified electromagnetic vector potential. This in turn, provides the platform for expressing inertia mass in terms of electromagnetic components, namely the E&M vector potential A. This conversion formula between gravity and electromagnetism describes a path for defining in fundamental terms the very fabric of space-time. Furthermore, it brings to light an understanding of the nature of the space-time metric and it's interaction with matter and energy fields. This also brings about a natural compatibility and continuity between space, matter and energy, or simply space-matter/energy. Where matter and energy is an extension of space-time itself. In other words, matter and energy is made up of the same underlying space-time stuff.

The metric of space-time can be defined in terms of an E&M potential between neighboring points a Planck distance apart. The points can be considered infinitely small point-particles extremely close to one another. These point-particles interact with neighboring spatial particles in a four dimensional space-time manifold. As matter and energy move across a point in space-time, the point-particles move closer or further apart from each other according to the matter or energy present. This spring like behavior is similar to molecules in the ocean, producing wave like characteristics much greater than their separation distance in that vicinity. Hence, harmonic waves produced in that vicinity are associated, in terms of size, with the matter and energy present in the local space-time manifold and not associated with the Planck distance separating the point-particles.Thus, the wave characteristics, or harmonics produced in the space-time structure is closely related to the matter and energy fields produced in that local space.

One approach when defining the superstructure that is known as the spacetime continuum is to define a three dimensional spatial structure upon which we map a fourth temporal component known as time relative to changing spatial parameters within a local spacetime metric. The spatial components that are mapped over with a comparable time component relative to certain boundary parameters allow an inextricable and interwoven relationship between these four dimensional components. The composition of the underlying superstructure known as the spacetime continuum (Universe) can help explain how inflation occurs, where the majority of mass exist within the universe and how the present matter, not associated with spacetime itself, can play an important role in compressing the universe back onto itself in what is known as the "big crunch".