ORQL

Observer-Relational Quantum Logic

A new framework where quantum collapse depends on the observer's path through an information field

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The Core Concept

What if quantum collapse isn't universal, but depends on who's observing?

Key Ideas

  • ▶ Observer-Dependent Collapse: Different observers collapse the same quantum state differently
  • ▶ The Ξ Field: A binary information substrate that all observers traverse
  • ▶ Sequencer Function: Maps each observer's state to their unique path through Ξ
  • ▶ Divergence (Δ): Quantifies how different observers' realities become

Interactive Demo

Two Observers, One Quantum State

Watch how Alice and Bob measure the same |ψ⟩ = 0.775|0⟩ + 0.632|1⟩ but get different results

A
B

Alice (Seed: 42)

Position: 42

P(|0⟩): —

Bob (Seed: 137)

Position: 137

P(|0⟩): —

Divergence

Δ = 0.000

Agreement Rate: —

Mathematical Formalism

Core Definitions

The Ξ Field:
Ξ: ℕ → {0,1}
A binary information substrate mapping positions to bits
Observer State:
Ω = (s, p, ε, H)
where s = seed, p = position, ε = entanglement, H = history
Sequencer Function:
Ωˢ: Observer × QuantumState × Ξ → Position
Determines observer's path through Ξ based on their state
Collapse Rule:
C_Ω(|ψ⟩) = |0⟩ if Σ Ξ(p+i) ≤ θ(Ω, |ψ⟩)
C_Ω(|ψ⟩) = |1⟩ otherwise
Divergence Measure:
Δ(Ω₁, Ω₂) = λ₁ · d_position + λ₂ · d_history
Quantifies how different two observers' experiences are

Read the Paper

Observer-Relational Quantum Logic (ORQL)

A Symbolic Framework for Subjective Collapse and Divergent Realities

Author: Anya Ozmen

Published: July 12, 2025

Status: Available on viXra

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...

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