Prospecting a Possible Quadratic Wormhole Between Quantum Mechanics and Plurality

TL;DR

This paper explores formal symmetries between Quadratic Funding and the Born rule in Quantum Mechanics, proposing a new framework called 'Quantum Quartic Finance' to bridge these concepts and suggest future research directions.

Contribution

It introduces 'Quantum Quartic Finance', a novel formalism linking quadratic funding mechanisms with quantum probability rules, opening new avenues for interdisciplinary research.

Findings

Identifies formal symmetries between quadratic funding and quantum probability

Proposes 'Quantum Quartic Finance' as a bridging framework

Suggests potential practical applications and further research directions

Abstract

We illustrate some formal symmetries between Quadratic Funding (Buterin et al., 2019), a mechanism for the (approximately optimal) determination of public good funding levels, and the Born (1926) rule in Quantum Mechanics, which converts the wave representation into a probability distribution, through a bridging formulation we call "Quantum Quartic Finance". We suggest further directions for investigating the practical utility of these symmetries. We discuss potential interpretations in greater depth in a companion blog post.