Quantum Rashomon Effect as a Failure of Gluing
Analysis
This paper connects the quantum Rashomon effect (multiple, incompatible but internally consistent accounts of events) to a mathematical concept called "failure of gluing." This failure prevents the creation of a single, global description from local perspectives, similar to how contextuality is treated in sheaf theory. The paper also suggests this perspective is relevant to social sciences, particularly in modeling cognition and decision-making where context effects are observed.
Key Takeaways
- •The paper explains the quantum Rashomon effect as a failure to combine local descriptions into a global one.
- •This failure is mathematically similar to the concept of contextuality in sheaf theory.
- •The perspective is potentially useful in social sciences for modeling context effects in cognition and decision-making.
“The Rashomon phenomenon can be understood as a failure of gluing: local descriptions over different contexts exist, but they do not admit a single global ``all-perspectives-at-once'' description.”