Quantum game interpretation of Dirac spinor field

TL;DR

This paper explores the connection between Dirac spinor fields and quantum game theory, translating spinor dynamics into quantum games and revealing new spatial evolutionary dynamics.

Contribution

It introduces a novel interpretation of Dirac spinor fields through quantum game strategies, linking quantum physics with game theory dynamics.

Findings

Spinor interactions can be modeled as quantum games.

New spatial evolutionary dynamics emerge from this interpretation.

The approach bridges quantum field theory and game theory concepts.

Abstract

This paper introduced the classical prisoner dilemma with the character and structure of quantum prisoner dilemma's strategy space. Associate with the Dirac spinor field, apply the basic quantum game strategy to the translation of the dynamics of Dirac equation. Decompose the real space and time to lattice we found that the basic interaction of spinor could be translated into quantum game theory. At the same time, we gained the new dynamics of quantized spacial evolutionary game.