Single-Clock Redshift Experiment for Measuring Planck's Constant and Testing the Quantum Nature of Gravitation

Gravitational redshift has been measured in many experiments, yet its interpretation remains a subject of debate. Some researchers argue that an electromagnetic wave loses energy and frequency as it propagates upward, while others maintain that its frequency remains unchanged and the observed shift arises from a variation in the flow of local time. We propose a fundamentally new type of experiment – one that has not previously been discussed in the scientific literature. This test will provide an unambiguous interpretation of gravitational redshift, resolving the long-standing contradictions in its understanding. It will also test whether Planck's constant is truly immutable or varies within a gravitational field, thereby opening a pathway toward uncovering the quantum nature of gravitation.