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Equivalence of Systems of Two-Dimensional Shallow-Water Equations over Horizontal and Slo** Bottom
AbstractA point transformation determining the equivalence of systems of equations of two-dimensional shallow water over horizontal and slo**...
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Equivalence group and exact solutions of the system of nonhomogeneous Boltzmann equations
The article is devoted to the construction of exact solutions of a system of two Boltzmann kinetic inhomogeneous equations. The source functions in...
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Mass–Energy Equivalence in Bound Three-Nucleon Systems
AbstractThe mass defect formula reflects the equivalence of mass and energy for bound nuclear systems. We study three-nucleon systems
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On the Norm Equivalence of Lyapunov Exponents for Regularizing Linear Evolution Equations
We consider the top Lyapunov exponent associated to a dissipative linear evolution equation posed on a separable Hilbert or Banach space. In many...
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The equivalence principle and inertial-gravitational quantum backreaction
This work is divided into two parts. The first examines recent proposals for “witnessing” quantum gravity via entanglement from the point of view of...
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On the canonical equivalence between Jordan and Einstein frames
A longstanding issue is the classical equivalence between the Jordan and the Einstein frames, which is considered just a field redefinition of the...
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Criteria for SLOCC and LU Equivalence of Generic Multi-qudit States
In this paper, we study the stochastic local operation and classical communication (SLOCC) and local unitary (LU) equivalence for multi-qudit states...
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A tale of two butterflies: an exact equivalence in higher-derivative gravity
We prove the equivalence of two holographic computations of the butterfly velocity in higher-derivative theories with Lagrangian built from arbitrary...
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BV equivalence with boundary
An extension of the notion of classical equivalence of equivalence in the Batalin–Vilkovisky (BV) and Batalin–Fradkin–Vilkovisky (BFV) frameworks for...
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Solitary Waves of Nonlinear Nonintegrable Equations
Our goal is to find closed form analytic expressions for the solitary waves of nonlinear nonintegrable partial differential equations. The suitable...
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Weak equivalence principle violation for mixed scalar particles
We investigate the non-relativistic limit of the Klein–Gordon equation for mixed scalar particles and show that, in this regime, one unavoidably...
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The Equivalence Principles
The Universality of Free Fall (UFF) in a gravitational field found a formal justification in the equivalence of gravitational mass and inertial mass....
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Propagation of spinors on a noncommutative spacetime: equivalence of the formal and the effective approach
Some noncommutative (NC) theories posses a certain type of dualities that are implicitly built within their structure. In this paper we establish...
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A class of field equations for neutrinos with nonzero masses
AbstractWe introduce a new equation (a class of equations) to be considered as a candidate for the equation for a nonzero-mass neutrino.
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The Equivalence Principle
In this chapter we motivate the need for a relativistic theory of gravitation by pointing out the inadequacies in the Newton’s theory of gravitation....
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Non-gaussian Saha’s ionization in Rindler spacetime and the equivalence principle
We investigate the non-Gaussian effects of the Saha equation in Rindler space via Tsallis statistics. By considering a system with cylindrical...
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The Equivalence Principle
Our journey into relativity proceeds with general relativity and we start with the equivalence principle. What is the difference between inertial...
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Lie groups, singularities and solutions of nonlinear partial differential equations
It is shown how Lie group and Lie algebra theory can be used to solve partial differential equations. A method for calculating the symmetry group of...
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Equivalence between two charged black holes in dynamics of orbits outside the event horizons
Using the Fermi–Dirac distribution function, Balart and Vagenas gave a charged spherically symmetric regular black hole, which is a solution of...
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The Equivalence Principle
The Equivalence Principle (EP) is the pillar that general relativity stands on. The three formulations of the EP, Weak, Einstein and Strong are...