Abstract of Idea:

It may be that given a certain energy density, the gravitational field couples with the electromagnetic field and literally *fluxes* into solid matter. We know in nature this happens all the time so there needs to be a sufficient theory between the gravitational field with is what gives particles their gravitational charge (*that is* mass) -▼φMg=Fg (from Lecture Notes be Sean Carrol) and that which can transmutate from pure electromagnetic energy ΥΥ → e+e- (two gamma production decay into an electron-positron pair.)

This means that GEM-like equations would need to be considered. In order to do this, i required the following work, in which i think i have succesfully described a plausible evaluation/theory of how the process ΥΥ → e+e- could transpire - in compliments of vern :)

The Mathematical Conjecture of GEM-related/similar Equations

For particles before transmutation or (v = c) we can allow the derived equation (from many hours of contemplation):

p(v/c)=(-▼φ*gtβ)² 1

Where φ* is in fact a gradient which measures the energy up to a critical value, so i have also defined it within its own self to have ∂φi=φ(i+1). The critical value or expectation value leads to the flux into mass. If φ* reaches its maximal state which can allow the transmutation to occur, then (v ≤ c) - notice that it is either less or equal. This would mean that the wave function does not necesserily mean that when it reaches the perfect stage for mass-creation that it **always** will.

Eg(v/c)=(-▼φ*gctβ)² 2

Since (c ≠ v) is not true in this form, then the correct way to show the equation is:

Eg(v/c)=(-▼φ*gvtβ)² 3

So in equation 1, we have a description of the related units p, v, g and t, describing the conjectured interpretation of a massless radiation (or atleast can describe it). Equation 2 strictly forbids massless radiation by the signature of Eg (which is gravitational energy). It has to be gravitational because its under the influence of (-▼φ*).

For equation 1 to flux into matter, the matter which is described by equation 3 depend again on the energy state of density of φ*. To measure the critical density, you can express it as an integral with a boundary condition given as Ω. So the flux equation in its fullest form is provided as:

............<∫Ω|i|²>

Eg(v/c)=(-▼∑ V(φ*)gvtβ)² 4

...............n=1

Here, it's slightly different, this time V(φ*) relates to the potential energy density , which is required when summation is involved, because nothing is determinate yet. So (φ*) is an energy scalar field and V(φ*) is the potential energy scalar field.

Note also, that the uppercase summation limit has the form of an amplitude statistical probability. It's quite common in physics to use this method when calculating the statistics of any eigenvalue. When it reaches the critical value, summation stops at (∫Ω|i|²=n_f) and pure energy turns into matter, because of the two transformations given on the right hand sides of equations 1 and 2, expressioned as:

p(v/c) - describing photon energy to

Eg(v/c) - describing gravitational energy (or also inertial energy due to the weak-equivalance principle)

The two transformations though did depend on the energy density transformation of V(φ*). In effect, V(φ*n) contributes to the feasibility of a mass occuring if it reaches a critical density with a minimal energy expectation of 1022KeV, or expressed by a gamma-gamma interaction ΥΥ. It is conjectured that this is considerable enough to call it a high-energy result within the parameters of φ (the gravitational field).

This would inexorably mean that the energy density of V(φ*) decreases as matter speeds up (M_0c^2) - however, this means that as a test particle slows down as V(φ*) increases. This is the perfect ratio in which demonstrates how the decrease of speed from c to v implies on an inertial mass, in accordance with the summation of V(φ*n), concluded itself as an expectation result.

The work which led me to the hypothesis/conjecture above, derived from the results below. I was investigated possible GEM equations (equations which can succesfully describe dimenionsional relationships between gravity and electromagnetism. I came to this first of all:

E=Fq

F=Mg

rearrange

E=Mgq

where Eg is energy due to gravity and q is charge. Then i dimensionally-configured the equation:

-▼φMgvtβ+(v²√ћ(c/G))²=√Mgq(E²/c²-p²) 5

From this geometric look, it yielded an inertial energy E_0 since we have the mass due to gravitational acceleration on the left under the field -▼φMg.

From here, i defined two values, the first equation takes on a small quantized value (the small value is related to the quantized mass charge of ћ=GM²/c in natural units, and the second takes on an extremely large value by rearranging ћc=GM²:

(V²ћ(c/G))²=M²gq(E²/c²-p²) 6

(Vћc)²=GM²gq(E²/c²-p²) 7

The relation between the electromagnetic force can be given as:

M(M/q)g(E²/c²-p²)=(Eg + v X Bg)Mv²ћ(c/G) 8

Since the left-hand side of equation 5 given as -ΔφMgvtβ is superficially similar to the equations p(v/c)=(-▼φ*gtβ)² and Eg(v/c)=(-▼φ*gctβ)² i decided to use them in conjunction of the relative state of φ.