Michell, Laplace and the Origin of the Black Hole Concept

Montgomery, Colin; Orchiston, Wayne; Whittingham, Ian B.

doi:10.3724/sp.j.1440-2807.2009.02.01

Cited by 53 publications

(22 citation statements)

References 8 publications

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“…It is possible to follow the Newtonian logic of Michell [11] and Laplace [12] (see reference [13] for a detailed history) in the case of Newtonian gravity on H 3 . When K = 0 we can create a Newtonian 'black hole' by seeking the dimensions of a spherical gravitating object with escape velocity equal to that of light:…”

Section: Non-euclidean Black Holesmentioning

confidence: 99%

Non-Euclidean Newtonian cosmology

Barrow

2020

Class. Quantum Grav.

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We formulate and solve the problem of Newtonian cosmology under the assumption that the absolute space of Newton is non-Euclidean. In particular, we focus on the negatively-curved hyperbolic space, H 3 . We point out the inequivalence between the curvature term that arises in the Friedmann equation in Newtonian cosmology in Euclidean space and the role of curvature in the H 3 space. We find the generalisation of the inversesquare law and the solutions of the Newtonian cosmology that follow from it. We find the generalisations of the Euclidean Michell 'black hole' in H 3 and show that it leads to different maximum force and area results to those we have found in general relativity. We show how to add the counterpart of the cosmological constant to the gravitational potential in H 3 and explore the solutions and asymptotes of the cosmological models that result. We also discuss the problems of introducing compact topologies in Newtonian cosmologies with non-negative spatial curvature.

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Section: Non-euclidean Black Holesmentioning

confidence: 99%

Non-Euclidean Newtonian cosmology

Barrow

2020

Class. Quantum Grav.

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“…It seems that no meaningful conclusions can be derived by postulating the equality of the squared moduli ( 60) and (61). Such a mass-photon energy equilibrium is an equation with four unknowns.…”

Section: Complex Energies and Equilibriamentioning

confidence: 99%

“…Therefore the equilibrium STM ratio R eq = 1.3833 R BH (87) is well within the range of radii of ultracompact objects researched in state-of-the-art within the framework of GR. However, aside from the Schwarzschild radius, derivable from escape velocity v 2 esc = 2GM/R of mass M by setting v 2 esc = c 2 , and discovered in 1783 by John Michell [61], all the remaining significant radii of GR are only approximations. GR neglects the value of the fine-structure constants α and α 2 , which, similarly as π or the base of the natural logarithm, are the fundamental constants of nature.…”

Section: Bbo Complex Energy Equilibriamentioning

confidence: 99%

The Imaginary Universe

Łukaszyk¹

2023

Preprint

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Imaginary dimensions in physics require an imaginary set of base natural units and some negative parameter $c_n$ corresponding to the speed of light in vacuum $c$. The second, negative fine-structure constant $\alpha_2^{-1} \approx -140.178$ is present in Fresnel coefficients for the normal incidence of electromagnetic radiation on monolayer graphene, leading to these imaginary natural units, and it establishes $c_n \approx -3.06 \times 10^8~\text{[m/s]}$. It follows that electric charges are the same in real and imaginary dimensions. We model neutron stars and white dwarfs, emitting perfect black-body radiation, as objects having energy exceeding their mass-energy equivalence ratios. We define complex energies in terms of real and imaginary natural units. Their imaginary parts, inaccessible for direct observation, store the excess of these energies. It follows that black holes are fundamentally uncharged, charged micro neutron stars and white dwarfs with masses lower than $5.7275 \times 10^{-10}~[\text{kg}]$ are inaccessible for direct observation, and the radii of white dwarfs' cores are limited to $R_{\text{WD}} < 3.3967~R_{\text{BH}}$, where $R_{\text{BH}}$ is the Schwarzschild radius of a white dwarf mass. It is conjectured that the maximum atomic number $Z=238$. A black-body object is in the equilibrium of complex energies of masses, charges, and photons if its radius $R_\text{eq} \approx 1.3833~R_{\text{BH}}$, which is marginally greater than a locally negative energy density bound of $4/3~R_{\text{BH}}$. Complex Newton’s law of universal gravitation, based on complex energies, leads to the black-body object's surface gravity and the generalized Hawking radiation temperature, which includes its charge. The proposed model takes into account the value(s) of the fine-structure constant(s), which is/are otherwise neglected in general relativity, and explains the registered (GWOSC) high masses of neutron stars' mergers and the associated fast radio bursts (CHIME) without resorting to any hypothetical types of exotic stellar objects.

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“…The theory of quantum gravity [1] is one of the basic theories preferred by modern physics and astronomy in the study of physical problems, especially in explaining the information paradox of black holes [2,3], the formation of molecular clouds and the instability of the collapsing of nebulae. Since the French scientist, Pierre Laplace, put forward the concept of the black hole in 1796 [4], various galaxies have gradually become known through the exploration of researchers. At present, the mass instability of galaxies composed of molecular clouds has been widely studied as a hot topic in many interdisciplinary fields.…”

Section: Introductionmentioning

confidence: 99%

The effect of different generalized uncertainty principles on Jeans mass modification

Long

Yang

2023

Commun. Theor. Phys.

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Jeans mass is regarded as a crucial factor in the study of nebula collapse. Astronomical data shows that Jeans mass is larger in theory than it is in observation. Someone mentioned that Jeans mass can be modifed by using the generalized uncertainty principle. However, different physical backgrounds lead to different forms of GUP expression. In order to make the theoretical values of Jeans mass andits observed values match better, we used three distinct types of generalized uncertainty principles to correct Jeans mass in this paper. And we find that the corrected Jeans masses are smaller than the uncorrected ones, where the Pedram corrected Jeans mass is the minimum and is close to the observed value. Additionally, we also consider the impact of temperature T and the generalized uncertainty principle parameters ( \eta, \beta , and \gamma ) for the corrected Jeans mass.

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Michell, Laplace and the Origin of the Black Hole Concept

Cited by 53 publications

References 8 publications

Non-Euclidean Newtonian cosmology

Non-Euclidean Newtonian cosmology

The Imaginary Universe

The effect of different generalized uncertainty principles on Jeans mass modification

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