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Agent Inaccessibility as a Fundamental Principle in Quantum Mechanics: Objective Unpredictability and Formal
1Phenoscience Laboratories, Novalisstrasse 11, Aufgang F, 10115 Berlin, Germany.
Entropy (Basel, Switzerland)
|December 3, 2020
Summary
Quantum mechanics limits agent access to quantum states. This study proposes "objective ignorance" via uncomputability, offering a new principle for quantum agent inaccessibility.
Area of Science:
- Quantum Mechanics
- Foundations of Physics
- Information Theory
Background:
- The inaccessibility of complete quantum states to experimenters is a known phenomenon.
- Existing interpretations attribute this to quantum indeterminism (intrinsic randomness) or effective ignorance (operational limits).
- A fundamental understanding of the physical basis for agent inaccessibility remains elusive.
Purpose of the Study:
- To investigate the physical underpinnings governing agent inaccessibility in quantum mechanics.
- To explore alternative explanations beyond intrinsic randomness and effective ignorance.
- To propose a new principle, 'objective ignorance,' based on uncomputability.
Main Methods:
- Analysis of self-referential dynamics within ontological quantum mechanics.
- Inclusion of undecidable dynamics and dynamical chaos as formal limits.
- Formalizing uncomputability as a fundamental limit on agent access to quantum information.
Main Results:
- Demonstrates that quantum indeterminism lacks formal proof for quantum random sequences.
- Presents uncomputability of quantum random sequences as a plausible, formal limit.
- Establishes uncomputability as a basis for objective unpredictability and agent inaccessibility.
Conclusions:
- Proposes 'objective ignorance' as an in-principle limit for ontological quantum mechanics.
- Suggests that uncomputability, rather than intrinsic randomness, may fundamentally limit agent access.
- Introduces a novel 'agent-inaccessibility principle' grounded in self-referential and computational limits.