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Quantization as a categorical equivalence
We demonstrate that, in certain cases, quantization and the classical limit provide functors that are “almost inverse” to each other. These functors...
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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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General formalism of the quantum equivalence principle
A consistent theory of quantum gravity will require a fully quantum formulation of the classical equivalence principle. Such a formulation has been...
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Morita Equivalence, Picard Groupoids and Noncommutative Field Theories
In this article we review recent developments on Morita equivalence of star products and their Picard groups. We point out the relations between...
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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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International Equivalence of 60Co: Sir Measurements of BIPM Comparison
The concept of equivalence was formulated to harmonize the different standards developed and maintained by national metrology institutes (NMIs)...
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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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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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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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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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Ensemble Equivalence for Mean Field Models and Plurisubharmonicity
We show that entropy is globally concave with respect to energy for a rich class of mean field interactions, including regularizations of the point...
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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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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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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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Equivalence checking of quantum circuits by nonlocality
Suppose two quantum circuit chips are located at different places, for which we do not have any prior knowledge, and cannot see the internal...
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Scientific value of the quantum tests of equivalence principle in light of Hilbert’s sixth problem
In his sixth problem, Hilbert called for an axiomatic approach to theoretical physics with an aim to achieve precision and rigour in scientific...
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Einstein’s 1905 Derivation of the Mass-Energy Equivalence: Is It Valid? Is Energy Always Equal to Mass and Vice Versa?
AbstractIn 1905, Einstein gave his first derivation of the mass-energy equivalence by studying, in different reference frames, the energy balance 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...
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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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The Equivalence Principle
Our journey into relativity proceeds with general relativity and we start with the equivalence principle. What is the difference between inertial...