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Quantum theory with bold operator tensors.

Lucien Hardy1

  • 1Perimeter Institute, 31 Caroline Street North, Waterloo, Ontario, Canada N2L 2Y5 lhardy@pitp.ca.

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Summary
This summary is machine-generated.

This study introduces bold operator tensors for a new quantum theory formulation. This operational approach to quantum field theory is manifestly covariant and naturally handles apparatus uses.

Keywords:
operational physicsoperator tensorsquantum theory

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Area of Science:

  • Quantum physics
  • Theoretical physics
  • Mathematical physics

Background:

  • The standard formulation of quantum theory often relies on time evolution.
  • A covariant formulation is desirable for quantum field theory.

Purpose of the Study:

  • To present a novel formulation of quantum theory using bold operator tensors.
  • To develop a manifestly covariant approach suitable for quantum field theory.

Main Methods:

  • Representing quantum operations as apparatus uses.
  • Associating operator tensors with apparatus uses.
  • Developing rules for combining operator tensors to yield probability distributions.

Main Results:

  • The formulation reproduces the standard quantum formalism under physicality constraints.
  • Symbolic and diagrammatic representations for calculations are provided.
  • The approach is manifestly covariant, avoiding temporal foliation.

Conclusions:

  • Bold operator tensors offer a new framework for quantum theory.
  • This formulation provides a natural starting point for operational quantum field theory.
  • The manifest covariance is a key advantage for theoretical physics research.