Main /

# HomePage

This is a wiki for me to explore discrete models of fundamental physics, especially models of relativistic quantum mechanics as described by the Dirac equation and spinors.

## Why discrete physics models?

- The concept of a continuum seems rather complicated to build up out of discrete elements, requiring methods like the Dedekind cut or Cauchy sequences.
- Many physics theories have ultraviolet divergences that might be solved if there is a small distance cutoff
- The Planck length would be a natural candidate for something like a minimum length because it can be built entirely from fundamental constants like {$G$}, {$\hbar$}, and {$c$}.
- Discrete models could describe a wealth of phenomena, so that a continuum may not be needed
- Even if discrete models don't properly describe physics on a fundamental level it could be a useful exercise to explore ideas that COULD be applicable in continuous settings as well

## Why start with *relativistic* quantum theory?

- It's possible that understanding QM from a discrete standpoint can only be done in a relativistic model. Relativity requires spin and helicity. Those may needed

These pages will be divided between self-education and exploration of my own toy models. The goal is that by looking at an overview of the ideas I've played around with I might gain some general insights.

## Education:

- Collection of links on the Dirac equation
- Collection of links on spinors
- Collection of links on helicity? / chirality / parity nonconservation
- Collection of links related to the Feynman checkerboard
- Collection of links related to graphene
- Collection of links related to holography?
- Collection of links related to "coarse graining"

## My own models I've been learning from

- One dimensional bit string model
- Two dimensional square model?
- Hexagonal pseudolattices