The Heisenberg Limit and the Speed of Light

Kennes D and Sang Y

Published on: 2023-06-10

Abstract

In quantum metrology, the Heisenberg Limit constrains the precision of quantum measurements. Here it is shown that modern experiments which measure the speed of light in a vacuum such asinterferometry, cavity resonance, and other similar techniques do not fully encapsulate the uncertainty associated with the Heisenberg Limit. Although the constancy of the speed of light in a vacuum is a necessary axiom in electromagnetism and relativistic mechanics, maintaining that it is invariant on all scales is fallacious quantum-mechanically. This paper shows that the speed of light in a vacuum must conform to the Heisenberg Limit in order to remain consistent with quantum mechanics.