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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…

量子物理 · 物理学 2012-06-06 Igor Pikovski , Michael R. Vanner , Markus Aspelmeyer , Myungshik Kim , Caslav Brukner

A minimal observable length is a common feature of theories that aim to merge quantum physics and gravity. Quantum mechanically, this concept is associated to a nonzero minimal uncertainty in position measurements, which is encoded in…

In this paper Quantum Mechanics with Fundamental Length is chosen as Quantum Mechanics at Planck's scale. This is possible due to the presence in the theory of General Uncertainty Relations. Here Quantum Mechanics with Fundamental Length is…

广义相对论与量子宇宙学 · 物理学 2009-11-10 A. E. Shalyt-Margolin , J. G. Suarez

I argue that the linearity of quantum mechanics is an emergent feature at the Planck scale, along with the manifold structure of space-time. In this regime the usual causality violation objections to nonlinearity do not apply, and nonlinear…

量子物理 · 物理学 2009-11-10 George Svetlichny

Quantum gravity theories predict a minimal length at the order of magnitude of the Planck length, under which the concepts of space and time lose every physical meaning. In quantum mechanics, the insurgence of such minimal length can be…

量子物理 · 物理学 2016-07-08 Matteo A. C. Rossi , Tommaso Giani , Matteo G. A. Paris

In this article, the possibility of generating non-classical light due to Planck-scale effects is considered. For this purpose, a widely studied model of deformation of the Heisenberg uncertainty relation is applied to single-mode and…

广义相对论与量子宇宙学 · 物理学 2024-11-07 Danilo Artigas , Killian Martineau , Jakub Mielczarek

Inspired by quantum gravity frameworks predicting Planck-scale deviations from Lorentz invariance, we probe Lorentz symmetry violation via modified dispersion relations $\omega_{|\textbf{k}|}$. Departing from conventional approaches, we…

广义相对论与量子宇宙学 · 物理学 2025-07-24 Hao Xu

Modified dispersion relations (MDRs) and noncommutative geometries are phenomenological models of Planck-scale corrections to relativistic kinematics, motivated by several approaches to quantum gravity. High-energy astrophysical…

高能物理 - 理论 · 物理学 2024-12-24 Pasquale Bosso , Fabrizio Illuminati , Luciano Petruzziello , Fabian Wagner

All existing experimental results are currently interpreted using classical geometry. However, there are theoretical reasons to suspect that at a deeper level, geometry emerges as an approximate macroscopic behavior of a quantum system at…

量子物理 · 物理学 2012-08-21 Craig Hogan

A model-independent statistical framework is presented to interpret data from systems where the mean time derivative of positional cross correlation between world lines, a measure of spreading in a quantum geometrical wave function, is…

广义相对论与量子宇宙学 · 物理学 2017-03-16 Craig J. Hogan , Ohkyung Kwon

The hypothesis of a discrete fabric of the universe--the "Planck scale"--is always on stage, since it solves mathematical and conceptual problems in the infinitely small. However, it clashes with special relativity, which is designed for…

量子物理 · 物理学 2016-10-26 Alessandro Bisio , Giacomo Mauro D'Ariano , Paolo Perinotti

Precision measurement of non-linear observables is an important goal in all facets of quantum optics. This allows measurement-based non-classical state preparation, which has been applied to great success in various physical systems, and…

量子物理 · 物理学 2017-10-20 G. A. Brawley , M. R. Vanner , P. E. Larsen , S. Schmid , A. Boisen , W. P. Bowen

Spectral homodyne detection, a widely used technique for measuring quantum properties of light beams, cannot retrieve all the information needed to reconstruct the quantum state of spectral field modes. We show that full quantum state…

We propose a scenario in which the Planck scale is dynamically linked to the electroweak scale induced by top condensation. The standard model field content, without the Higgs, is promoted to a 5D warped background. There is also an…

高能物理 - 唯象学 · 物理学 2010-03-12 Yang Bai , Marcela Carena , Eduardo Ponton

Non-commutative quantum physics at the atom scale can arise from coarse graining of a classical statistical ensemble at the Planck scale. Position and momentum of an isolated particle are classical observables which remain computable in…

高能物理 - 理论 · 物理学 2010-05-24 C. Wetterich

New quantum degrees of freedom of space-time, originating at the Planck scale, could create a coherent indeterminacy and noise in the transverse position of massive bodies on macroscopic scales. An experiment is under development at…

广义相对论与量子宇宙学 · 物理学 2013-07-18 Craig Hogan

Planck's constant was introduced as a fundamental scale in the early history of quantum mechanics. We find a modern approach where Planck's constant is absent: it is unobservable except as a constant of human convention. Despite long…

高能物理 - 唯象学 · 物理学 2012-03-27 John P. Ralston

The effect of Planck scale quantum geometrical effects on measurements with interferometers is estimated with standard physics, and with a variety of proposed extensions. It is shown that effects are negligible in standard field theory with…

广义相对论与量子宇宙学 · 物理学 2016-06-28 Ohkyung Kwon , Craig J. Hogan

A model quantum system is proposed to describe position states of a massive body in flat space on large scales, excluding all standard quantum and gravitational degrees of freedom. The model is based on standard quantum spin commutators,…

广义相对论与量子宇宙学 · 物理学 2014-12-05 Craig J. Hogan

Quantum groups and non-commutative spaces have been repeatedly utilized in approaches to quantum gravity. They provide a mathematically elegant cut-off, often interpreted as related to the Planck-scale quantum uncertainty in position. We…

广义相对论与量子宇宙学 · 物理学 2011-08-09 Eugenio Bianchi , Carlo Rovelli
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