Space Technology

By: Chris Boyd
Most text book explanations of relativity require non-intuitive assumptions. This short article explores an alternative shape for space and time which allows production of equations for time dilation which are intuitive and produce results similar to the conventional theory.

We will start with a simplification of space as a one dimensional ring of radius r. Time raised to an unknown power n will be assumed to be the radial dimension outwards from any point on the circle. For a time interval t, the “distance” in time mapped on to our space time diagram will be given by;

D = at^n

Where a is a constant of proportionality relating space to time. And ^ means to the power of.

It is postulated that light travels orthogonally (perpendicular) to time in a straight line or tangent of the circle of space. For an angle p radians, the distance travelled in time is given by:

at^n = r{sec(p)-1}

Therefore;

t = [(r/a){sec(p)-1}]^(1/n)

The distance travelled in space is:

X = Prsec(p)

The velocity of light will be distance divided by time.

C = Prsec(p)/ [(r/a){sec(p)-1}]^(1/n)

It can be shown that for n=2, the velocity of light varies by less than 9% up to angles of 30 degrees, which equates to some 2 billion light years.

An object travelling at less than the speed of light at a velocity v would travel less “distance” in the direction of time. For an angle b, this is given by;

t' = t{1-(sec(b)-1)/(sec(p)-1)}^(1/2)

It can be seen this produces time dilation in reasonable agreement with special relativity.

If we expand our picture to include a third dimension, turning our circle into a sphere, the orthogonal dimension can be regarded as energy or mass. The space, that we observe, curves into this dimension and manifests as energy or mass. Close to mass, space would curve into the energy dimension and thus be analogous to travelling at high velocities in terms of how time passes.

If E is the potential energy of an object or 2MG/r (Where M is the mass causing the curvature into energy, G is the gravitational constant and r is the distance from the object)

The equation for time dilation near mass would be;

t' = t{1-(sec(b)-1)/(sec(cb/E^0.5)-1)}^(1/2)

It would be possible to take this further regarding the nature of mass being a curvature in energy with a finite “length” in time, resulting in an uncertainty in position/time/momentum given by the Heisenberg uncertainty principle. As mass increases, length in time decreases giving a constant uncertainty.  Many other physical phenomena can also be explained. But for this article I think I’ve said enough.