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Modifications in quantum mechanical phase space lead to the changes in the Heisenberg uncertainty principle, which can result in the Generalized Uncertainty Principle (GUP) or the Extended Uncertainty Principle (EUP), introducing quantum…

High Energy Physics - Theory · Physics 2025-01-13 A. Pachoł

We suggest that the solution to the cosmological vacuum energy puzzle does not require any new field beyond the standard model, but rather can be explained as a result of the interaction of the infrared sector of the effective theory of…

Cosmology and Nongalactic Astrophysics · Physics 2011-07-13 Federico R. Urban , Ariel R. Zhitnitsky

All possible theories of quantum gravity suggest the existence of a minimal length. As a consequence, the usual Heisenberg Uncertainty Principle (HUP) is replaced by a more general uncertainty principle known as the Generalised Uncertainty…

Quantum Physics · Physics 2023-10-27 Sheikh Riasat , Bhabani Prasad Mandal

The cosmological constant problem represents a profound conflict between quantum field theory and general relativity. Unimodular gravity offers a compelling starting point by de-gravitating the vacuum energy of the Standard Model, but this…

High Energy Physics - Phenomenology · Physics 2025-11-18 David E. Kaplan , Surjeet Rajendran

In this paper we have considered a quantized and linearly polarized gravitational wave interacting with a gravitational wave detector (interferometer detector) in the generalized uncertainty principle (GUP) framework. Following the analysis…

General Relativity and Quantum Cosmology · Physics 2023-11-20 Soham Sen , Sunandan Gangopadhyay

The Generalized Uncertainty Principle (or GUP) affects the dynamics in Plank scale. So the known equations of physics are expected to get modified at that very high energy regime. Very recently authors in (Ali et al. 2009) proposed a new…

General Relativity and Quantum Cosmology · Physics 2011-11-29 Barun Majumder

In this work we determine the consequences of the quantum entanglement of a system of two identical particles when a generalized uncertainty principle (GUP) is considered. GUP's are usually associated with the existence of a minimal length.…

Quantum Physics · Physics 2024-07-09 K. C. Lemos Filho , B. B. Dilem , R. O. Francisco , J. C. Fabris , J. A. Nogueira

Heisenberg showed in the early days of quantum theory that the uncertainty principle follows as a direct consequence of the quantization of electromagnetic radiation in the form of photons. As we show here the gravitational interaction of…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Ronald J. Adler , David I. Santiago

It was previously argued that generalized uncertainty principle (GUP) with a positive parameter removes the Chandrasekhar limit. One way to restore the limit is by taking the GUP parameter to be negative. In this work we discuss an…

General Relativity and Quantum Cosmology · Physics 2019-01-02 Yen Chin Ong , Yuan Yao

The generalized uncertainty principle has been described as a general consequence of incorporating a minimal length from a theory of quantum gravity. We consider a simple quantum mechanical model where the operator corresponding to position…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jang Young Bang , Micheal S. Berger

The concept of minimum length, widely accepted as a low-energy effect of quantum gravity, manifests itself in quantum mechanics through generalized uncertainty principles. Curved momentum space, on the other hand, is at the heart of similar…

General Relativity and Quantum Cosmology · Physics 2021-12-10 Fabian Wagner

We present exact energy eigenvalues and eigenfunctions of the one-dimensional hydrogen atom in the framework of the Generalized (Gravitational) Uncertainty Principle (GUP). This form of GUP is consistent with various theories of quantum…

High Energy Physics - Theory · Physics 2013-02-19 Pouria Pedram

Generalized uncertainty principle and breakdown of the spacetime continuum certainly represent two important results derived of various approaches related to quantum gravity and black hole physics near the well-known Planck scale. The…

Quantum Physics · Physics 2011-06-14 Marcelo A Marchiolli , Maurizio Ruzzi

We consider quantum gravity corrections to the maximum entropic force that arise from several gravitational uncertainty principles. These include the Generalized Uncertainty Principle (GUP), the Extended Uncertainty Principle (EUP), the…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Jonas Mureika , Elias C. Vagenas

Gamow's theory of the implications of quantum tunneling on the star burning has two cornerstones including quantum mechanics and equipartition theorem. It has vastly been proposed that both of these foundations are affected by the existence…

General Relativity and Quantum Cosmology · Physics 2022-09-21 H. Moradpour , A. H. Ziaie , N. Sadeghnezhad

A series of aspects of the quantum gravity predict a modification in the Heisenberg uncertainty principle to the generalized uncertainty principle (GUP). In the present work, using the momentum space representation, we study the behavior of…

High Energy Physics - Theory · Physics 2018-08-01 Bing-Qian Wang , Zheng-Wen Long , Chao-Yun Long , Shu-Rui Wu

We investigate thoroughly the temporal evolution of the universe temperature as a function of the Hubble parameter associated with the Stochastic Gravitational Wave (SGW), that formed at the cosmological QCD phase transition epoch to the…

General Relativity and Quantum Cosmology · Physics 2021-07-20 Mohamed Moussa , Homa Shababi , Anisur Rahaman , Ujjal Kumar Dey

Various theories that aim at unifying gravity with quantum mechanics suggest modifications of the Heisenberg algebra for position and momentum. From the perspective of quantum mechanics, such modifications lead to new uncertainty relations…

The implications of a Generalized Uncertainty Principle on the Taub cosmological model are investigated. The model is studied in the ADM reduction of the dynamics and therefore a time variable is ruled out. Such a variable is quantized in a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Marco Valerio Battisti , Giovanni Montani

Generalized Uncertainty Principle (GUP) has brought the idea of existence of minimum measurable length in Quantum physics. Depending on this GUP, non-relativistic Hamiltonian at the Planck scale is modified. In this article, we construct…

High Energy Physics - Theory · Physics 2014-05-07 Sudipta das , Souvik Pramanik