Discrete Physics and the Dirac Equation
arXiv:hep-th/9603202 · doi:10.1016/0375-9601(96)00436-7
Abstract
We rewrite the 1+1 Dirac equation in light cone coordinates in two significant forms, and solve them exactly using the classical calculus of finite differences. The complex form yields ``Feynman's Checkerboard''---a weighted sum over lattice paths. The rational, real form can also be interpreted in terms of bit-strings.
LaTex 16 pages, 10 figures. To obtain a copy, send e-mail to [email protected]
Cited by in corpus (24)
- The Dirac equation as a quantum walk: higher dimensions, observational convergence
- Non-Commutative Worlds
- Entwined Paths, Difference Equations and the Dirac Equation
- Physics Without Physics: The Power of Information-theoretical Principles
- Noncommutativity and Discrete Physics
- Path-integral solution of the one-dimensional Dirac quantum cellular automaton
- Discrete Feynman propagator for the Weyl quantum walk in 2+1 dimensions
- Information-Based Physics: An Observer-Centric Foundation
- Quantum Mechanics and the Principle of Least Radix Economy
- Non-commutative Calculus and Discrete Physics
- A geometrical derivation of the Dirac equation
- Majorana Fermions and Representations of the Braid Group
- Lattice two-point functions and conformal invariance
- Limits of fractality: Zeno boxes and relativistic particles
- Mechanical Systems that are both Classical and Quantum
- Statistical Mechanics and the Ghosts of Departed Quantities
- Cellular automaton ontology, bits, qubits, and the Dirac equation
- Iterants, Fermions and the Dirac Equation
- Quantum Mechanical Motion of Relativistic Particle in Non-Continuous Spacetime
- Superposition as a Relativistic Filter
- Notes on The Feynman Checkerboard Problem
- Non-Commutative Worlds -- A Summary
- A New Construction for Spinor Wave Equations
- The Dirac Equation and the Majorana Dirac Equation