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Uncertainty principle, a fundamental principle in quantum physics, has been studied intensively via various uncertainty inequalities. Here we derive an uncertainty equality in terms of linear entropy, and show that the sum of uncertainty in…

Quantum Physics · Physics 2014-09-02 Zhihao Ma , Shengjun Wu , Zhihua Chen

The Conservation of Energy plays a pivotal part in the development of the physical sciences. With the growth of computation and the study of other discrete token based systems such as the genome, it is useful to ask if there are…

Information Theory · Computer Science 2012-09-25 Les Hatton

Many of the most important astrophysical tests of Lorentz symmetry also assume that energy-momentum of the observed particles is exactly conserved. In the causal set approach to quantum gravity a particular kind of Lorentz symmetry holds…

General Relativity and Quantum Cosmology · Physics 2008-11-26 David Mattingly

A formulation of quantum electrodynamics is proposed, in which the local law of conservation of electric charge serves as the source of the gauge condition. The equations of motion of the gauge variable and the density of the charge…

High Energy Physics - Theory · Physics 2021-05-13 Natalia Gorobey , Alexander Lukyanenko , A. V. Goltsev

Elementary particles in quantum mechanics (QM) are indistinguishable when sharing the same intrinsic properties and the same quantum state. So, we can consider quantum particles as non-individuals, although non-individuality is usually…

Quantum Physics · Physics 2007-05-23 Adonai S. Sant'Anna

The extra energy, negative energy and annihilation of energy by the subwavelength conservative systems that have a wave nature of light or matter (quantum) objects are predicted. The creating and destroying of energy break the energy…

Optics · Physics 2007-05-23 S. V. Kukhlevsky

In the classical regime, thermodynamic state transformations are governed by the free energy. This is also called as the second law of thermodynamics. Previous works showed that, access to a catalytic system allows us to restore the second…

Quantum Physics · Physics 2025-03-20 Tulja Varun Kondra , Ray Ganardi , Alexander Streltsov

The laws expressing conservation of momentum and energy apply to any isolated system, but these laws are violated for for highly viscous liquids under laboratory conditions because of the unavoidable interactions with the measuring…

Soft Condensed Matter · Physics 2009-11-11 Jeppe C. Dyre

Regarded as one of the most fundamental concepts of classical mechanics and thermodynamics, work has received well-grounded definitions within the quantum framework since the 1970s, having being successfully applied to many contexts. Recent…

Quantum Physics · Physics 2021-10-22 Thales A. B. Pinto Silva , Renato M. Angelo

"Protective measurement" refers to two related schemes for finding the expectation value of an observable without disturbing the state of a quantum system, given a single copy of the system that is subject to a "protecting" operation. There…

Quantum Physics · Physics 2018-05-21 Joshua Combes , Christopher Ferrie , Matthew S. Leifer , Matthew F. Pusey

A succinct statement and justification of all the principles necessary to understand and evaluate interpretations of quantum mechanics is given. These principles provide strong constraints on interpretations. They imply the particle-like…

General Physics · Physics 2015-05-14 Casey Blood

A number of issues related to measurement show that self-consistency is lacking in quantum mechanics as this theory has been generally understood. Each issue is presented as a point in this paper. Each point can be resolved by incorporating…

General Physics · Physics 2007-05-23 D. M. Snyder

It is demonstrated that energy conservation allows for a straight derivation of Newtonian mechanics without an apriori definition of the concept of work. Furthermore it is shown that energy must be depicted as a function of position and…

Classical Physics · Physics 2026-03-03 C. Baumgarten

This paper gives a thorough critique of the foundations of quantum physics in its mainstream interpretation (i.e., treating pure states as primitives, without reference to hidden variables, and without modifications of the quantum laws).…

Quantum Physics · Physics 2019-04-25 Arnold Neumaier

This chapter seeks to outline a few basic problems in quantum statistical physics where recent experimental advances from the atomic physics community offer the hope of dramatic progress. The focus is on nonequilibrium situations where the…

Quantum Gases · Physics 2011-06-21 Austen Lamacraft , Joel Moore

The debate on conservation laws in general relativity eighty years ago is reviewed and restudied. The physical meaning of the identities in the conservation laws for matter plus gravitational field is reexamined and new interpretations for…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Fang-Pei Chen

When a measurement is made on a system that is not in an eigenstate of the measured observable, it is often assumed that some conservation law has been violated. Discussions of the effect of measurements on conserved quantities often…

Quantum Physics · Physics 2021-08-27 Edward J. Gillis

A logical error in the usual derivation of the energy conservation law is analyzed, and a way to avoid the error is presented.

Classical Physics · Physics 2007-05-23 E. G. Bessonov , C. A. Brau

The regularized theories are non-local at the scale of the cutoff, leading so to the usual difficulties of non-local theories. In this work the conservation laws and causality are investigated for classical field theories with multi-cluster…

High Energy Physics - Theory · Physics 2018-03-14 Janos Polonyi

We study conservation laws of a general class of quantum many-body systems subjected to an external time dependent quasi-periodic driving. {When the frequency of the driving is large enough or the strength of the driving is small enough, we…

Mathematical Physics · Physics 2024-08-13 Matteo Gallone , Beatrice Langella