About the Origin of the Division between Internal and External Symmetries in Quantum Field Theory

TL;DR

This paper explores how internal and external symmetries in quantum field theory originate from quantum information principles, proposing that space-time and internal symmetries derive from quantum states represented by fundamental quantum bits.

Contribution

It offers a novel interpretation linking quantum symmetries to information theory, suggesting that both internal and external symmetries can be derived from quantum states of ur objects.

Findings

Space-time symmetries emerge from quantum state representations.

Internal symmetries relate to relations among fundamental quantum objects.

Division between internal and external symmetries can be derived from quantum information principles.

Abstract

It is made the attempt to explain why there exists a division between internal symmetries referring to quantum numbers and external symmetries referring to space-time within the description of relativistic quantum field theories. It is hold the attitude that the symmetries of quantum theory are the origin of both sorts of symmetries in nature. Since all quantum states can be represented as a tensor product of two dimensional quantum objects, called ur objects, which can be interpreted as quantum bits of information, described by spinors reflecting already the symmetry properties of space-time, it seems to be possible to justify such an attitude. According to this, space-time symmetries can be considered as a consequence of a representation of quantum states by quantum bits. Internal symmetries are assumed to refer to relations of such fundamental objects, which are contained within the state of one single particle, with respect to each other. In this sense the existence of space-time symmetries, the existence of internal symmetries and their division could obtain a derivation from quantum theory interpreted as a theory of information.