Six easy roads to the Planck scale

Adler, Ronald J.

doi:10.1119/1.3439650

Cited by 109 publications

(126 citation statements)

References 29 publications

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“…While momentum operators preserve their feature as in quantum mechanics, position operators no longer admit physical eigenstates, as one should expect in the presence of a minimal resolution length √ β. A closer inspection of (5) shows that the measure is suppressed in the ultraviolet regime…”

Section: Review Of Gup In Higher Dimensional Spacetimesmentioning

confidence: 99%

Generalized uncertainty principle and black holes in higher dimensional self-complete gravity

Knipfer

Köppel

Mureika

et al. 2019

J. Cosmol. Astropart. Phys.

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In this paper we consider generalized uncertainty principle (GUP) effects in higher dimensional black hole spacetimes via a nonlocal gravity approach. We study three possible modifications of momentum space measure emerging from GUP, including the original Kempf-Mangano-Mann (KMM) proposal. By following the KMM model we derive a family of black hole spacetimes. The case of five spacetime dimensions is a special one. We found an exact black hole solution with a Barriola-Vilenkin monopole at the origin. This object turns out to be the end point of the black hole evaporation. Interestingly for smaller masses, we found a "naked monopole" rather than a generic naked singularity. We also show that the Carr-Lake-Casadio-Scardigli proposal leads to mild modifications of spacetime metrics with respect to the Schwarzschild-Tangherlini solution. Finally, by demanding the same degree of convergence in the ultraviolet regime for any spacetime dimension, we derive a family of black hole solutions that fulfill the gravity self-completeness paradigm. The evaporation of such black holes is characterized by a fluctuating luminosity, which we dub a lighthouse effect.

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Section: Review Of Gup In Higher Dimensional Spacetimesmentioning

confidence: 99%

Generalized uncertainty principle and black holes in higher dimensional self-complete gravity

Knipfer

Köppel

Mureika

et al. 2019

J. Cosmol. Astropart. Phys.

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“…On the other hand, already for the Heisenberg microscope, namely a thought experiment concerning a particle illuminated by light, one should take into account the gravitational interaction between the particle and the effective mass associated with the energy of the photon. In doing so, one can discover an additional position uncertainty due to the acceleration the particle is subject to [1]. Accordingly, one has to conclude that there exists a minimal length limiting the accuracy in localising the particle itself [2].…”

Section: Gravity and Minimum Lengthmentioning

confidence: 99%

Minimum Length Effects in Black Hole Physics

Casadio

Micu

Nicolini

2014

Fundamental Theories of Physics

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We review the main consequences of the possible existence of a minimum measurable length, of the order of the Planck scale, on quantum effects occurring in black hole physics. In particular, we focus on the ensuing minimum mass for black holes and how modified dispersion relations affect the Hawking decay, both in four space-time dimensions and in models with extra spatial dimensions. In the latter case, we briefly discuss possible phenomenological signatures. Gravity and minimum lengthPhysics is characterized by a variety of research fields and diversified tools of investigation that strongly depend on the length scales under consideration. As a result, one finds an array of sub-disciplines, spanning from cosmology, to astrophysics, geophysics, molecular and atomic physics, nuclear and particle physics. In a nutshell, we can say that Physics concerns events occurring at scales between the radius of the Universe and the typical size of observed elementary particles. It is not hard to understand that such a rich array of physical phenomena requires specific formalisms. For instance, at macroscopic scales, models of the Universe are obtained in terms of general relativity, while at microscopic scales quantum physics has been proven to be the adequate theory for the miniaturised world.

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“…According to the modern interpretation, m P is the maximum amount of mass that can be placed in a region of space with a radius of the order of the Planck length, l P , which is defined by combining the same constants that define the Planck mass [14]:…”

Section: Further Comments: Quantum Gravity and Hawking Temperaturementioning

confidence: 99%

The Hawking temperature, the uncertainty principle and quantum black holes

Pinochet

2018

Phys. Educ.

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In 1974, Stephen Hawking theoretically discovered that black holes emit thermal radiation and have a characteristic temperature, known as the Hawking temperature. The aim of this paper is to present a simple heuristic derivation of the Hawking temperature, based on the Heisenberg uncertainty principle. The result obtained coincides exactly with Hawking's original finding. In parallel, this work seeks to clarify the physical meaning of Hawking's discovery. This article may be useful as pedagogical material in a high school physics course or in an introductory undergraduate physics course.

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Six easy roads to the Planck scale

Cited by 109 publications

References 29 publications

Generalized uncertainty principle and black holes in higher dimensional self-complete gravity

Generalized uncertainty principle and black holes in higher dimensional self-complete gravity

Minimum Length Effects in Black Hole Physics

The Hawking temperature, the uncertainty principle and quantum black holes

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