The ideas presented here are not intended to be taken as a unified field theory. The resulting equations are just the natural consequence of an attempt to present the gravitational force and the electromagnetic force in a similar fashion.

In electromagnetism the the expression most generally used for force is the Lorentz Force law, expressed here in cgs units italics represent cgs, normal case represents S.I. units

in the rest frame of the test charge (v = 0) the force law reduces to

One of the primary ideas for cgs units is that the force equation has been naturalized by absorbing the cofactor into the definition of charge. If we write the S.I. form for the electrostatic force equation as

Thus q in cgs units can be written as

So that the electrostatic force has only observable variables in its expression

Now consider the graviational force law

It doesn't seem unreasonable to naturalize this equation by absorbing the cofactor into the definition of mass, like this

where the naturalized force law now becomes

but take special notice of the cofactor it is negative, we are taking the square root of a negative number! The naturalized units of mass are imaginary.

This complication does not exist in the electrostatic force law, since there are both positive and negative electric charges, and by the fact that the force is only attractive when the charges have opposite signs. With mass however, all mass charges have the same sign and yet the force is attractive.

On further observation the naturalized force laws in the rest frame of the system now have a strong resemblance to each other, namely

and

In this form it is clear that the naturalized units of charge and the naturalized units of mass are the same, except one is real and the other imaginary. Let's define a new complex vector that will allow the calculation of the net force directly, call it , where I have written the imaginary component explicitly to reinforce the complex nature of the value.

Note: I have introduced the complex vector dot product ”” in order to keep the net force from having cross terms. This may or may not be reasonable.

Now look at the Lorentz force law, can it be reconstructed with our new complex quantity? Lets try;

where I define , hence is the purely imaginary gravitational field.

From this it would seem that the gravitational field is the imaginary part of the electric field, thus

Here you can see the form for the magnetic field seems to be missing a complex counterpart in the gravitational field. Since the at rest force equations are identicle in form, then my hypothesis is that there exists a magnetic part that is also similar, hence

So now we have a new form of the complex field

with a hypothesised part that is testable as it predicts a relativistic force

or simply

but what is ? Borrowing from the Biot-Savart law in electromagnetics

where is the mass current density.

Time was originally a parameterization that allowed two frames of reference to reconcile their physical laws. According to Einstein, time is not parametric, it is relativistic. This is an effect that results from the laws of of physics mapping with a linear parameter from one frame to another. There is no mandate that the paramaterization must be linear though, so a return to a truly parametric idea of time is feasible if the parameter is allowed to be non-linear. Since the shift in frames of reference is nothing more than deriviatives with respect to the parameterization, ie. velocity, acceleration, etc. Perhaps a self consistant set of physical laws can be written if the parametric relativity is expressed as higher ordered terms to the physical equation.

Investigate the properties of space filling polyhedra with respect to the facet strengths of diamond, assuming that the carbon lattice only has a thin wall with respect to the enclosed volume. ie. a diamond vacuum foam.

Using the methods developed by Japan's Akishima Laboratories create a cylindrical chamber that has at one end a low energy negative potential well and at the other end a crisp high energy potential well. Insert positive ions of the right type - > aneutronic fusion.

If one considers the Minkowski space to be a real dimensional metric, then the Lorentz transformation of special relativity is nothing but a rotation about some orthogonal hyper axis. Consider that this is true, it may be possible to induce a nutation of this rotation about the hyper axis and under the correct conditions induce one of the Minkowski dimensions to rotate into hyper-space.

An efficient method of NEB implementation such that each interpolated image is generated as a bisection of the known hyper-surface energy path way-points. This is a pseudo-serial mechanism that allows for computation of all interpolated images in a more optimal way than allowing each image to traverse the full distance of its orthogonal trajectory.