Summary

Formal framework for representing all physically possible quantum timelines as directed acyclic graph (DAG).

Structure: QBU = (V, E) where:

  • V = set of all quantum events
  • E = directed edges indicating temporal/causal ordering
  • Paths through DAG = distinct timelines

Ancestor Event: Ea precedes Eb if all timelines through Eb necessarily pass through Ea.

Pattern Identifiers (PIs): Precise, reproducible patterns selecting timeline subsets:

  • Strong PIs: All matching timelines share common ancestor (strict causal clarity). Examples: genotypes, neural connectomes, specific quantum states.
  • Weak PIs: No common ancestor required (cultural/historical identification). Examples: names, cultural labels, general events.

Operations:

  • Match: Select timelines containing pattern
  • Select: Identify subset matching PI
  • Ancestor/Descendant: Trace causal relationships

Block Universe Relationship: QBU extends classical Block Universe (static 4D spacetime). QBU = vast structure of potentially infinite distinct block universes, each representing unique deterministic timeline. Branching characterizes structural relationships at quantum divergence points, not dynamic progression.

Key Insight: Enables rigorous exploration of causality, counterfactual reasoning, choice by modeling alternative outcomes as equally real, coexisting timelines.

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Cross-References

Notes

  • Foundational formalism for axionic philosophy
  • DAG structure enables computational/mathematical analysis
  • Strong vs Weak PI distinction becomes central methodological tool
  • All later quantum ethics/decision theory builds on this framework