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This rigorous theorem definitively rules out a classical description for massless quanta like photons by showing that covariance principles conflict with defining their behavior as classical particles. The work establishes a new axiomatic framework clarifying the fundamental boundary between quantum and classical realms in relativistic theory, independent of specific physical systems. This advances foundational understanding of how field descriptions emerge from second-quantized mechanics rather than particle trajectories.

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Researchers Find Massless Quanta Lack a Classical Particle Limit

Quantum ZeitgeistJune 15, 20266 min read

No classical particle limit for massless quanta Until now, attempts to reconcile quantum mechanics and classical physics permitted the possibility of massless particles behaving predictably, like familiar photons. However, a rigorous new theorem demonstrates this cannot be so, definitively ruling out a classical description for these fundamental quanta. While classical fields may still emerge from quantum origins, the idea of a classical massless particle is now formally excluded.

A fundamental limit to understanding massless quanta as classical particles has been identified by Riccardo Falcone and Simon Fuchs at the Academy of Sciences. Falcone and Fuchs prove a "no-go" theorem demonstrating that the requirement of covariance, a key principle in physics relating to symmetry, conflicts with the conditions necessary for defining classical behaviour in massless particles. The work develops a new axiomatic framework for examining the relationship between quantum and classical physics, independent of specific physical systems, and sharply clarifies the boundary between the quantum and classical realms by ruling out the existence of classical counterparts to particles like photons or gravitons. Investigations into the classical…

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