Programming relativity and gravity via the fine structure constant alpha for use in Planck scale Simulation Hypothesis modeling

Abstract

The Simulation Hypothesis proposes that our universe resembles a computer simulation. Described here is a method for programming relativity and gravity at the Planck scale that uses Planck time (the simulation clock-rate) and dimension-less geometrical objects (in lieu of the laws of physics). It is based around an expanding (the origin of c) 4-axis hyper-sphere and particles that oscillate between an electric wave-state and a mass (unit of Planck mass per unit of Planck time) point-state. Particles are assigned a spin axis which determines the direction in which they are pulled by this hyper-sphere (pilot wave) expansion, thus all particles travel at, and only at, the velocity of expansion c, however only the particle point-state has definable co-ordinates within the hyper-sphere. Photons are the mechanism of information exchange, as they lack a mass state they can only travel laterally (in hypersphere co-ordinate terms) between particles and so this hypersphere expansion cannot be directly observed, relativity then becomes the mathematics of perspective translating between the absolute (hypersphere) and relative motion (3D surface space) co-ordinate systems. A discrete fine structure constant `pixel' lattice is assigned as the gravitational space. Units of \hbar c `physically' link particles into orbital pairs. In these pairs the point states orbit each other at the speed of light in hyper-sphere co-ordinates giving precession while also simulating time dilation. The actual gravitational orbit is the averaged sum of these underlying orbital pairs at unit time. Thus is it possible to update all gravitational motion for the universe simulation in real time (Planck time) on a serial processor. A 14.6 billion year old Planck unit (black-hole) universe has similar parameters to the CMB (cosmic microwave background). The Casimir force is a measure of the background radiation density.