economics Collision

A simple coin toss is better described by the math of subatomic quantum signals than by the laws of motion.

April 23, 2026

Original Paper

A Quantum-Inspired Informational Model of a Coin Toss: Decoherence and POVM Beyond the Classical Description

Adam Szymański

SSRN · 6528639

The Takeaway

We usually think of a coin flip as a predictable mechanical event governed by gravity and speed. This model treats the flip as a process of information loss called decoherence. It shows that the heads or tails outcome is more about how the coin communicates its state to the world than how it physically spins. Applying quantum math to this everyday object reveals that information is a more fundamental part of reality than physical movement. This shift in perspective could change how we calculate probability in everything from gambling to stock markets.

From the abstract

This article addresses the problem of modeling a coin toss by confronting classical Newtonian physics with information theory and von Neumann's quantum formalism. It is argued that the traditional mechanical approach, while intuitive, fails to account for the complexity of real-world systems, such as landing on soft surfaces. We propose a model based on a two-dimensional Hilbert space, in which the emergence of the third "edge" state does not require expanding the physical basis but is instead h