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Quantum Theory for General Observers

Juanca Carrasco-Martinez

Abstract

The principle of relativity is extended to accommodate observers with quantum properties. This results in a new theory that introduces relative quantization rules and novel uncertainty relations, while also elucidating some interpretational problems present in the current formulation of quantum mechanics.

Quantum Theory for General Observers

Abstract

The principle of relativity is extended to accommodate observers with quantum properties. This results in a new theory that introduces relative quantization rules and novel uncertainty relations, while also elucidating some interpretational problems present in the current formulation of quantum mechanics.
Paper Structure (11 sections, 34 equations)

This paper contains 11 sections, 34 equations.

Table of Contents

  1. Relativity for General Observers.—
  2. An example of a general observer transformation.-
  3. Generalized Galilean Symmetry.-
  4. The Free-Particle description.-
  5. Discussion on "Wigner's friend paradox".-
  6. Interpretational implications for the quantum theory.-
  7. Definitions of the general observer transformation, $\mathscr{T}_s^{s'}$
  8. Compatibility of new quantization rules with $\mathscr{T}_s^{s'}$
  9. Covariance of the new quantization rules
  10. The three-dimensional extension
  11. The algebra of angular momentum