Gravity, Quantum Fields and Quantum Information: Problems with Classical Channel and Stochastic Theories.

Area of Science:

• Theoretical Physics
• Quantum Information Theory
• Quantum Gravity

Background:

• Growing interest in applying quantum information theory (QIT) to quantum gravity.
• Exploration of alternative quantum theories and information-centric frameworks.
• Need to critically assess the validity of QIT in mimicking quantum field theory (QFT).

Purpose of the Study:

• Identify and analyze common problems in QIT-based treatments of quantum gravity.
• Examine the equivalence and limitations of information-theoretic interactions versus QFT interactions.
• Clarify the role and limitations of classical stochastic fields in representing quantum phenomena.

Main Methods:

• Comparative analysis of interaction formalisms between QIT and QFT.
• Investigation of the consequences of replacing quantum fields with classical stochastic fields.
• Examination of conditions under which semi-classical and stochastic theories emerge from quantum origins.

Main Results:

• Information-channel-mediated interactions in QIT are not generally equivalent to QFT interactions.
• Using classical stochastic fields misses essential quantum properties like coherence and entanglement.
• Inconsistencies with general relativity can arise when QIT notions are applied to gravity.
• Semi-classical and stochastic theories can be derived from quantum theories under specific conditions.

Conclusions:

• Current QIT approaches to quantum gravity require careful scrutiny regarding their equivalence to QFT.
• Ignoring quantum coherence and entanglement by using classical approximations leads to incomplete descriptions.
• While semi-classical and stochastic theories have their place, their quantum origins must be understood.