Observer-Relational Quantum Logic

A Symbolic Framework for Subjective Collapse and Divergent Realities
Anya Ozmen | Independent Researcher | July 12, 2025

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Abstract

We introduce Observer-Relational Quantum Logic (ORQL), a formal symbolic framework modeling quantum measurement as an observer-dependent process. In ORQL, observers traverse unique paths through an abstract binary information field (Ξ) using individual Sequencer Functions (Ωˢ), producing potentially different measurement outcomes from identical quantum states. This formalism provides a computable alternative to philosophical interpretations, introducing rigorous definitions for observer-specific collapse, measurement divergence (Δ), and information-theoretic reality construction. We demonstrate the framework through computational examples and discuss implications for quantum foundations.

Keywords: quantum measurement, observer-dependent collapse, information theory, quantum foundations, symbolic logic, digital physics

Key Concepts

🌌 The Core Idea

What if reality isn't the same for everyone? ORQL proposes that each observer navigates through an information field (Ξ) along their own unique path, leading to potentially different measurement outcomes even when observing the same quantum state.

🔍 Main Components

  • The Ξ Field: A binary information substrate containing all possible measurement outcomes
  • Observers (Ω): Entities that traverse Ξ based on their history and internal state
  • Sequencer Function (Ωˢ): Determines each observer's unique path through Ξ
  • Divergence (Δ): Quantifies how different observers' realities become over time

💡 Key Results

  • Different observers can legitimately measure different outcomes from the same quantum state
  • Statistical averages still recover the Born rule
  • Observer divergence grows predictably over time
  • The framework is fully computable and can be simulated

🚀 Try It Yourself

Experience ORQL in action with our interactive demo. Watch how two observers measuring the same quantum state diverge over time!

🤝 Join the Research

ORQL is an open framework welcoming contributions and critical discussion. Whether you're interested in the philosophical implications, mathematical extensions, or computational implementations, we'd love to hear from you.

Contact: research@theredko.com