About the Lorentz invariance of Planck constant

Is it proved experimentally that the planck constant is invariant in the moving system?
If that experiment exists, would you show me that in detail?

Theory of Relativity (Special - I assume you're not asking about General Relativity here) says Planck's constant is the same in any inertial frame.

There isn't just a single experiment to cover this, rather the fact that SR works in all cases tested so far.

Admittedly many important cases haven't been tested; for instance, no one's actually done experiments in a spaceship going near speed of light.

Perhaps if you expand on your question a more satisfactory answer would be possible.

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Is it proved experimentally that the planck constant is invariant in the moving system?
The value of Planck's constant has never been observed to change with the seasons, even though every physics lab on earth is at rest in a completely different inertial frame in June and in December.

vanhees71 and bhobba