Quantum

How long is a photon?

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Based on a feed excerpt; full article content has not been acquired. Source evidence retrieved 14/10/2026, 12:17:25 UTC.

Briefings

A new arXiv preprint proposes a model using recursive Fourier transforms on dual spaces to resolve the conceptual difficulty of stitching together a photon's emission, absorption, and propagation intervals. The model replaces the Schrödinger equation with a relativistic Klein-Gordon equation, treating space as independent of time and relying on the Fourier transform's invariant phase. This framework aims to make quantum mechanics compatible with special relativity by avoiding the conflict between zero proper time for the photon and finite durations of emission and absorption.

Key points

• The proposed model uses recursive Fourier transforms on dual spaces to describe the life cycle of a photon.
• The model replaces the Schrödinger equation with a relativistic Klein-Gordon equation as an improved framework for quantum mechanics.

Context

This research addresses the conceptual difficulty in 'stitching' together the emission, absorption, and propagation intervals of a photon, which have fundamentally incompatible temporal descriptions. The model is a promising candidate for making quantum mechanics compatible with relativity.

Limitations

The evidence is an untrusted arXiv preprint from October 2026. The model remains a proposed framework with no experimental verification. Specific numerical values, author names, or causal claims are not supported by the provided text.

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