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In this work, we make quantization of gravitation interaction within the framework of a vector theory of gravitation for the first time. The work demonstrates that this theory meets the requirement of renormalizability. Here we consider…

General Relativity and Quantum Cosmology · Physics 2012-10-29 V. N. Borodikhin

Using both the Born-Oppenheimer idea and the de Broglie-Bohm interpretation of wavefunction we represent in a different way the semiclassical quantum gravity from the Wheeler-DeWitt equation in an oscillating regime which can preserve…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Sang Pyo Kim

In this paper, the classical Schr\"odinger equation, which allows the study of classical dynamics in terms of wave functions, is analyzed theoretically and numerically. First, departing from classical (Newtonian) mechanics, and assuming an…

Quantum Physics · Physics 2016-11-23 Albert Benseny , David Tena , Xavier Oriols

We consider the stochastic nonlinear Schroedinger equation driven by a multiplicative noise in a semiclassical regime, where the Plank constant is small. In this regime, the solution of the equation exhibits high-frequency oscillations. We…

Numerical Analysis · Mathematics 2024-08-20 Lihai Ji , Zhihui Liu

We study the quantum properties of a nanomechanical oscillator via the squeezing of the oscillator amplitude. The static longitudinal compressive force $F_0$ close to a critical value at the Euler buckling instability leads to an anharmonic…

Other Condensed Matter · Physics 2007-05-23 Aziz Kolkiran , G. S. Agarwal

Motivated by developments in string theory, such as T-duality, it has been proposed that the geometry of spacetime should have an intrinsic minimal length associated with it. This would modify the short distance behavior of quantum systems…

General Physics · Physics 2019-05-16 Mir Faizal , Qin Zhao , Chenguang Hou , Zaid Zaz

One of the main challenges in physics today is to merge quantum theory and the theory of general relativity into a unified framework. Various approaches towards developing such a theory of quantum gravity are pursued, but the lack of…

Quantum Physics · Physics 2012-06-06 Igor Pikovski , Michael R. Vanner , Markus Aspelmeyer , Myungshik Kim , Caslav Brukner

String theory, as well as the string inspired brane-world models such as the Randall-Sundrum (RS) one, suggest a modification of Newton's law of gravitation at small distance scales. Search for modifications of standard gravity is an active…

High Energy Physics - Theory · Physics 2009-09-29 Mofazzal Azam , M. Sami , C. S. Unnikrishnan , T. Shiromizu

Exploring gravitational interactions between objects with small masses has become increasingly timely. Concurrently, oscillators with masses ranging between milligrams and grams in cavity optomechanical systems sparked interest for probing…

Quantum Physics · Physics 2025-10-30 Ziqian Tang , Wenlong Li , Huanying Sun , Xiaoxia Cai , Tiefu Li , Yulong Liu

Classical soft graviton theorem gives an expression for the spectrum of low frequency gravitational radiation, emitted during a classical scattering process, in terms of the trajectories and spin angular momenta of ingoing and outgoing…

General Relativity and Quantum Cosmology · Physics 2020-04-15 Alok Laddha , Ashoke Sen

An approach to the quantization of gravity in the presence matter is examined which starts from the classical Einstein-Hilbert action and matter approximated by "point" particles minimally coupled to the metric. Upon quantization, the…

General Physics · Physics 2022-05-24 Matej Pavšič

We show that the Schr\"{o}dinger equation for the quantum harmonic oscillator can be derived as an approximation to the Newtonian mechanics of a classical harmonic oscillator subject to a random force for time intervals $O( m / \hbar)$,…

Quantum Physics · Physics 2021-03-29 Can Gokler

We probe the dynamics of a modified form of the Schrodinger-Newton system of gravity coupled to single particle quantum mechanics. At the masses of interest here, the ones associated with the onset of "collapse" (where the gravitational…

General Relativity and Quantum Cosmology · Physics 2016-03-23 J. Franklin , Y. Guo , K. Cole Newton , M. Schlosshauer

The semiclassical interaction of the gravitational with a quantum scalar field is considered, in view of the renormalizability of the associated energy-momentum tensor in a n-dimensional curved spacetime resulting from a quadratic…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Kostas Kleidis

In ref [1], a criterion has been derived for the objective wave function reduction through the Shr\"odinger-Newton equation. In this paper, we shall derive that criterion by using the concept of Bohmian trajectories. This study has two…

Quantum Physics · Physics 2020-12-30 Faramarz Rahmani , Mehdi Golshani , Ghadir Jafari

Understanding and mitigating noise in quantum systems is a fundamental challenge in achieving scalable and fault-tolerant quantum computation. Error modeling for quantum systems can be formulated in many ways, some of which are very…

Newtonian and Schrodinger dynamics can be formulated in a physically meaningful way within the same Hilbert space framework. This fact was recently used to discover an unexpected relation between classical and quantum motions that goes…

Quantum Physics · Physics 2020-09-02 Alexey A. Kryukov

We follow an old suggestion made by Stueckelberg that there exists an intimate connection between weak interaction and gravity, symbolized by the relationship between the Fermi and Newton\rq s constants. We analyze the hypothesis that the…

General Relativity and Quantum Cosmology · Physics 2021-12-20 M. Novello , A. E. S. Hartmann

Cavity quantum optomechanics has emerged as a new platform for quantum science and technology with applications ranging from quantum-information processing to tests of the foundations of physics. Of crucial importance for optomechanics is…

Quantum Physics · Physics 2022-06-02 Lydia A. Kanari-Naish , Jack Clarke , Sofia Qvarfort , Michael R. Vanner

The deflection of light in the gravitational field of the Sun is one of the most fundamental consequences for general relativity as well as one of its classical tests first performed by Eddington a century ago. However, despite its center…

General Relativity and Quantum Cosmology · Physics 2023-09-13 Dripto Biswas , Sougato Bose , Anupam Mazumdar , Marko Toroš