Abstract

Planck’s constant h is a fundamental physical constant defined in the realm of quantum theory and is determined only by physical measurement and cannot be calculated. To this day, physicists do not have a convincing explanation for why action in microcosm is quantized or why h has a specific quantitative value. Here, a new theory is presented based on the idea that the elementary particles are vortices of a condensed superfluid vacuum. The vortex has a conserved angular momentum that can be calculated by applying hydrodynamic laws; in this way, the numerical value of Planck’s constant can be obtained. Therefore, the Planck constant is not a fundamental constant but an observable parameter of the elementary particle as a vortex that has constant vorticity and conserved angular momentum. This theory may offer a unique and comprehensive understanding of Planck’s constant and open a new perspective for a theory of everything.

Highlights

  • Max Planck’s attempts to provide a theoretical explanation for the empirically discovered laws of blackbody radiation yielded Planck’s constant h that first appeared in physics theory in 1900 [1]

  • Planck’s constant h is a fundamental physical constant defined in the realm of quantum theory and is determined only by physical measurement and cannot be calculated

  • The number chosen for the numerical value of the h is such that, at the time of adopting the definition, one kilogram is equal to the mass of the international prototype currently used for the definition of mass, within the uncertainty of the combined best estimates of the value of the h at that moment

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Summary

Introduction

Max Planck’s attempts to provide a theoretical explanation for the empirically discovered laws of blackbody radiation yielded Planck’s constant h that first appeared in physics theory in 1900 [1] He proposed the quantum hypothesis stating that the energy of a harmonic oscillator with an oscillation frequency ν would quantize at an integral multiple of hν. The number chosen for the numerical value of the h is such that, at the time of adopting the definition, one kilogram is equal to the mass of the international prototype currently used for the definition of mass, within the uncertainty of the combined best estimates of the value of the h at that moment Another way to measure it is via the X-ray crystal density (XRCD) method [3]. Thereafter, applying the classical laws of hydrodynamics to the vortex to calculate the vorticity and angular momentum of the vortex, an analytical formulation is presented to obtain the numerical value of the constant

Superfluid Vacuum
Elementary Particles as Vortices
Hydrodynamics of the Vortex
Discussion
Conclusions
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