Quantum Mechanics Without Planck's Constant

Hua Ma

To reveal the physical nature of Planck's constant, an analytic expression of Planck's constant is presented, and based on this expression, the De Broglie's relation and the expression of momentum operator are derived.To calculate Planck's constant, the shielding effect of the fundamental interaction is introduced, and found that Planck's constant can be calculated for the fundamental interaction fields with shielding effects, thus have obtained the general quantization principle: the systems with shielding effects can be quantized.As a result, the representation of Planck's constant in the gravitational field is derived, indicating that although the gravitational field can't be quantified, which has effects on quantum phenomena through expressing Planck's constant based on the curvature of spacetime.This work is of significance for deepening the understanding of quantum mechanics, and for exploring the quantum mechanism in the cosmic celestial bodies.

Friedwardt Winterberg

Hua Ma

To reveal the physical nature of Planck’s constant, an analytic expression of Planck's constant is presented, and based on this expression, the De Broglie’s relation and the expression of momentum operator are derived. To calculate Planck’s constant, the shielding effect of the fundamental interaction is introduced, and found that Planck’s constant can be calculated for the fundamental interaction fields with shielding effects, thus have obtained the general quantization principle: the systems with shielding effects can be quantized. As a result, the representation of Planck's constant in the gravitational field is derived, indicating that although the gravitational field can’t be quantified, which has effects on quantum phenomena through expressing Planck’s constant based on the curvature of space-time. This work is of significance for deepening the understanding of quantum mechanics, and for exploring the quantum mechanism in the cosmic celestial bodies.

Peter Mittelstaedt

Marcello Cini

Constantinos Ragazas

Planck's constant h is considered to be a fundamental Universal constant of Physics. And although we can experimentally determine its value to great precision, the reason for its existence and what it really means is still a mystery. Quantum Mechanics has adapted it in its mathematical formalism, as it also has the Quantum Hypothesis. But QM does not explain its meaning or prove its existence. Why does the Universe need h and energy quanta? Why does the mathematical formalism of QM so accurately reflect physical phenomena and predict these with great precision? Ask any physicists and uniformly the answer is that's how the Universe works. The units of h are in energy-time and the conventional interpretation of h is as a quantum of action. But in this brief note we take a different view. We interpret h as the minimal accumulation of energy that can be manifested in our measurements. Certainly the units of h agree with such interpretation. Based on this we provide a plausible explanation for the existence of Planck's constant, what it means and how it comes about. We show that the existence of Planck's constant is not so much dictated by the Universe but rather by Mathematics and the inner consistence and calibrations of Physics.