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Researchers at the National Institute of Standards and Technology have been using a watt balance, NIST-3, to measure the Planck constant $h$ for over ten years. Two recently published values disagree by more than one standard uncertainty.…

Instrumentation and Detectors · Physics 2015-06-23 S. Schlamminger , R. L. Steiner , D. Haddad , D. B. Newell , F. Seifert , L. S. Chao , R. Liu , E. R. Williams , J. R. Pratt

We trace the historical appearance of Planck's constant in physics, and we note that initially the constant did not appear in connection with quanta. Furthermore, we emphasize that Planck's constant can appear in both classical and quantum…

General Physics · Physics 2018-04-10 Timothy H. Boyer

The constant h is elevated to a dynamical field, coupling to other fields, and itself, through the Lagrangian density derivative terms. The spatial and temporal dependence of h falls directly out of the field equations themselves. Three…

Quantum Physics · Physics 2021-03-09 Rand Dannenberg

We investigate how the universal constants, including the fine structure constant, have varied since the early universe close to the Planck energy scale ($E_P\sim 10^{19}$GeV) and, thus, how they have evoluted over the cosmological time…

General Relativity and Quantum Cosmology · Physics 2021-02-11 Cláudio Nassif , A. C. Amaro de Faria

Planck units are natural physical scales of mass, length and time, built with the help of the fundamental constants $\hbar, c, G$. The functional role of the constants used for the construction of Planck units is different. If the first two…

General Physics · Physics 2017-01-05 Yu. L. Bolotin , V. V. Yanovsky

The Heisenberg uncertainty principle states that the product of the noise in a position measurement and the momentum disturbance caused by that measurement should be no less than the limit set by Planck's constant, hbar/2, as demonstrated…

Quantum Physics · Physics 2009-11-07 Masanao Ozawa

The Planck constant ($\hbar$) plays a pivotal role in quantum physics. Historically, it has been proposed as postulate, part of a genius empirical relationship $E=\hbar \omega$ in order to explain the intensity spectrum of the blackbody…

Optics · Physics 2015-05-04 Real Tremblay , Nicolas Doyon , Claudine Ni Allen

Traditionally, the Planck constant $h$ makes its debut appearance in quantum physics textbooks in the context of the blackbody radiation law and subsequently as a fundamental ingredient of the physics of the photoelectric effect and the…

History and Philosophy of Physics · Physics 2026-03-05 Kostas Glampedakis

Planck introduced his famous units of mass, length and time a hundred years ago. The many interesting facets of the Planck mass and length are explored. The Planck mass ubiquitously occurs in astrophysics, cosmology, quantum gravity, string…

General Relativity and Quantum Cosmology · Physics 2007-07-03 C. Sivaram

In this paper, we discuss an equation which does not contain the Planck's constant, but it will turn out the Planck's constant when we apply the equation to the problems of particle diffraction.

Quantum Physics · Physics 2007-05-23 H. Y. Cui

Defined by Lord Kelvin as the science of measurement it is described a fundamental fact of physics. The so called `natural' units represent the unique system of units conveniently used in the realm of High Energy Physics. The system of…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. Pisano , N. O. Reis

From positions, attained by modern theoretical physics in understanding of the universe bases, the methodological and philosophical analysis of fundamental physical concepts and their formal and informal connections with the real economic…

General Physics · Physics 2015-03-13 Vladimir Soloviev , Vladimir Saptsin

You have probably often set hbar=1; but for what particle? I revisit here the possibility of a non-universal Planck-constant. Anomaly cancellation suggests that all particles in the same family perceive the same hbar at fixed charges e,…

High Energy Physics - Phenomenology · Physics 2013-12-13 Felipe J. Llanes-Estrada

In 1937 Dirac proposed the large number hypothesis (LNH). The idea was to explain that these numbers were large because the Universe is old. A time variation of certain constants was assumed. So far, no experimental evidence has…

General Physics · Physics 2014-11-18 Antonio Alfonso-Faus

Heisenberg's uncertainty principle was originally posed for the limit of the accuracy of simultaneous measurement of non-commuting observables as stating that canonically conjugate observables can be measured simultaneously only with the…

Quantum Physics · Physics 2020-03-12 Masanao Ozawa

On December 14. 1900, Max Planck communicated his derivation of his radiation formula, which he later called ``an act of desperation''. This date is widely recognized as birthday of quantum theory. For Planck it meant the end of his…

Quantum Physics · Physics 2007-05-23 Domenico Giulini , Norbert Straumann

In this paper the uncertainty principle is found via characteristics of continuous and nowhere differentiable functions. We prove that any physical system that has a continuous and nowhere differentiable position function is subject to an…

General Physics · Physics 2021-07-13 Faycal Ben Adda , Helene Porchon

This book examines a number of problems of quantum mechanics, most of which are not usually discussed. What is the origin of probabilities in the mechanics of the microworld? What is the nature of Planck's constant h? What is the nature of…

Quantum Physics · Physics 2026-05-29 L. V. Prokhorov , Alexander Ushakov S. , Yury Berdinsky

The hallmark of quantum physics is Planck's constant $h$, whose finite value entails the quantization that gave the theory its name. The finite value of $h$ gives rise to inevitable zero-point fluctuations even at vanishing temperature. The…

The Generalized Uncertainty Principle arises from the Heisenberg Uncertainty Principle when gravity is taken into account, so the leading order correction to the standard formula is expected to be proportional to the gravitational constant…

General Relativity and Quantum Cosmology · Physics 2009-10-06 Cosimo Bambi