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We propose a new constructor-theoretic framework for information, grounded in the laws of physics. This approach resolves foundational issues in information theory and explains key quantum information phenomena.

Keywords:
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Area of Science:

  • Theoretical Physics
  • Information Theory
  • Quantum Mechanics

Background:

  • Existing information theory defines information and distinguishability circularly.
  • Quantum information phenomena lack a unified foundational explanation.

Purpose of the Study:

  • To develop a constructor-theoretic theory of information based on physical possibility and impossibility.
  • To establish exact laws of physics governing information instantiation.
  • To resolve foundational problems in information theory and explain quantum information phenomena.

Main Methods:

  • Formulating information theory in terms of possible and impossible physical transformations (constructor theory).
  • Proposing conjectured, exact laws of physics for information instantiation.
  • Analyzing the implications of constructor theory for classical and quantum information.

Main Results:

  • A new theory of information solely in terms of physical transformations.
  • Resolution of the circular definitions of information and distinguishability.
  • Explanation of quantum phenomena like non-cloning and measurement unpredictability through a single constructor-theoretic property.

Conclusions:

  • Information's nature is determined by physics, not a priori concepts.
  • Constructor theory provides a unified foundation for classical and quantum information.
  • This framework offers new insights into the physical basis of information.