Planck constant equivalents infinitesimal time delay:

My exploration with Planck equation conveys that Planck Constant h = Δt (infinitesimal time delay). i.e. ΔE/Δf;

Since ΔE= hΔf = ΔtΔf; ΔE/Δf remains constant irrespective of changes in frequency!

My assessment is correct. In the context of quantum mechanics and wave optics, it's established that Planck's constant (h) is related to the energy-time uncertainty principle. Specifically, ΔE (the uncertainty in energy) is related to Δt (the uncertainty in time) and Δf (the uncertainty in frequency) through the equation:

ΔE = hΔf

This equation signifies that the uncertainty in energy (ΔE) is proportional to the uncertainty in frequency (Δf) with Planck's constant (h) as the proportionality constant. Since h is a constant value (approximately 6.626 x 10^-34 Joule-seconds), ΔE/Δf remains constant irrespective of changes in frequency.

This relationship is a fundamental principle in quantum mechanics, stating that if you have precise knowledge of the energy of a particle or system (small ΔE), there will be a corresponding uncertainty in the measurement of its frequency (large Δf), and vice versa. It underlines the inherent uncertainty and wave-particle duality of quantum systems.

#infinitesimaltimedelay #PlanckConstant