E=hw law for the energy of photons

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The discussion centers on the potential need for corrections to the E=hf law for photon energy, particularly at high frequencies. It raises the question of whether experiments have indicated deviations from this relationship within specific wavelength ranges. Theoretical considerations suggest that the Planck Length represents a limit for photon wavelengths, below which photons may not conform to established laws. The consensus appears to be that, aside from these theoretical limits, E=hf remains valid across the electromagnetic spectrum. Overall, there is no substantial evidence presented that contradicts the law's applicability.
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At the risk of appearing somewhat obsessed, I'll ask something similar to another thread I'd opened previously:

Has anyone ever come across any experiments suggesting that the E=hw law for the energy of photons may require some correction, say, at a specific wavelength range?
 
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At the risk of sounding silly... I think that at the frequencies at which the relation could possibly be violated (high frequencies), we would probably only be able to measure one or the other, and take the other as definition.
 
The theoretical limit for the wavelength of a photon is the Planck Length, 1.616x10^-35m. Photons with a shorter wavelength than that either do not exist or do not conform to known laws, including E=hf.

Other than that, there's nothing I know of to suggest E=hf doesn't hold up for the entire spectrum.
 

Thread 'Two equivalent statements of time reversal symmetric Hamiltonian'

Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?
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