Search Results - "Lake, Matthew J."

Fractal properties of particle paths due to generalised uncertainty relations by Lake, Matthew J.

“…We determine the Hausdorff dimension of a particle path, D H , in the recently proposed ‘smeared space’ model of quantum geometry. The model introduces…”
Get full text

Modelling Cosmic Springs with Finsler and Generalised Finsler Geometries by Lake, Matthew J.

“…We show that the equations of motion governing the dynamics of strings in a compact internal space can be written as dispersion relations, with a local speed…”
Get full text

How Does the Planck Scale Affect Qubits? by Lake, Matthew J.

“…Gedanken experiments in quantum gravity motivate generalised uncertainty relations (GURs) implying deviations from the standard quantum statistics close to the…”
Get full text

Dynamical behavior and Jacobi stability analysis of wound strings by Lake, Matthew J., Harko, Tiberiu

“…We numerically solve the equations of motion (EOM) for two models of circular cosmic string loops with windings in a simply connected internal space. Since the…”
Get full text

Minimum Length Uncertainty Relations in the Presence of Dark Energy by Lake, Matthew J.

“…We introduce a dark energy-modified minimum length uncertainty relation (DE-MLUR) or dark energy uncertainty principle (DE-UP) for short. The new relation is…”
Get full text

The minimum mass of a spherically symmetric object in D-dimensions, and its implications for the mass hierarchy problem by Burikham, Piyabut, Cheamsawat, Krai, Harko, Tiberiu, Lake, Matthew J.

“…The existence of both a minimum mass and a minimum density in nature, in the presence of a positive cosmological constant, is one of the most intriguing…”
Get full text

An Introduction to Noncommutative Physics by Liang, Shi-Dong, Lake, Matthew J.

“…Noncommutativity in physics has a long history, tracing back to classical mechanics. In recent years, many new developments in theoretical physics, and in…”
Get full text

The QCD mass gap and quark deconfinement scales as mass bounds in strong gravity by Burikham, Piyabut, Harko, Tiberiu, Lake, Matthew J.

“…Though not a part of mainstream physics, Salam’s theory of strong gravity remains a viable effective model for the description of strong interactions in the…”
Get full text

János Bolyai, Carl Friedrich Gauss, Nikolai Lobachevsky and the New Geometry: Foreword by Jenkovszky, László, Lake, Matthew J., Soloviev, Vladimir

“…Nearly 2300 years ago, the Greek mathematician Euclid of Alexandria laid down the basis of the geometry now known from the textbooks and used in everyday life…”
Get full text

Series Solution of the Time-Dependent Schrödinger–Newton Equations in the Presence of Dark Energy via the Adomian Decomposition Method by Harko, Tiberiu, Lake, Matthew J., Mak, Man Kwong

“…The Schrödinger–Newton model is a nonlinear system obtained by coupling the linear Schrödinger equation of canonical quantum mechanics with the Poisson…”
Get full text

Does space-time torsion determine the minimum mass of gravitating particles? by Böhmer, Christian G., Burikham, Piyabut, Harko, Tiberiu, Lake, Matthew J.

“…We derive upper and lower limits for the mass–radius ratio of spin-fluid spheres in Einstein–Cartan theory, with matter satisfying a linear barotropic equation…”
Get full text

New Advances in Quantum Geometry by Liang, Shi-Dong, Harko, Tiberiu, Lake, Matthew J.

“…Presently, we are in a period of rapid and intensive changes in our understanding of the gravitational interaction, triggered by the important observational…”
Get full text

Which Quantum Theory Must be Reconciled with Gravity? (And What Does it Mean for Black Holes?) by Lake, Matthew

“…We consider the nature of quantum properties in non-relativistic quantum mechanics (QM) and relativistic quantum field theories, and examine the connection…”
Get full text

Cosmic strings in f gravity by Harko, Tiberiu, Lake, Matthew J

“…We consider Kasner-type static, cylindrically symmetric interior string solutions in the f (R, [L.sub.m]) theory of modified gravity. The physical properties…”
Get full text

The Compton-Schwarzschild correspondence from extended de Broglie relations by Lake, Matthew J., Carr, Bernard

“…A bstract The Compton wavelength gives the minimum radius within which the mass of a particle may be localized due to quantum effects, while the Schwarzschild…”
Get full text

Problems with modified commutators by Lake, Matthew J., Watcharapasorn, Anucha

“…The purpose of this paper is to challenge the existing paradigm on which contemporary models of generalised uncertainty relations (GURs) are based, that is,…”
Get full text

The minimum mass of a charged spherically symmetric object in D dimensions, its implications for fundamental particles, and holography by Burikham, Piyabut, Cheamsawat, Krai, Harko, Tiberiu, Lake, Matthew J.

“…We obtain bounds for the minimum and maximum mass/radius ratio of a stable, charged, spherically symmetric compact object in a D -dimensional space-time in the…”
Get full text

Generalised Uncertainty Relations for Angular Momentum and Spin in Quantum Geometry by Lake, Matthew J., Miller, Marek, Liang, Shi-Dong

“…We derive generalised uncertainty relations (GURs) for orbital angular momentum and spin in the recently proposed smeared-space model of quantum geometry. The…”
Get full text

Can Superconducting Cosmic Strings Piercing Seed Black Holes Generate Supermassive Black Holes in the Early Universe? by Lake, Matthew J., Harko, Tiberiu

“…The discovery of a large number of supermassive black holes (SMBH) at redshifts z>6, when the Universe was only 900 million years old, raises the question of…”
Get full text

Corrigendum: Dimensionally-dependent uncertainty relations, or why we (probably) won’t see micro-black holes at the LHC, even if large extra dimensions exist by Lake, Matthew J., Liang, Shi-Dong, Watcharapasorn, Anucha

Get full text