Manuscripts Associated with Winstanley

Winstanley, Gerrard; Corns, Thomas N.; Hughes, Ann; Loewenstein, David

doi:10.1093/oseo/instance.00010437

Cited by 2 publications

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“…Here we make the choice c q = 2, which corresponds to Dirichlet reflective boundary conditions on the scalar field as ζ → ∞. The effect on the renormalized VP of choosing alternative boundary conditions will be explored elsewhere [67] (see also [49] for the effect of boundary conditions on the renormalized VP on a BTZ black hole).…”

Section: Radial Functionsmentioning

confidence: 99%

“…An AHS-like method has also been used to find the VP on an asymptotically adS black hole with cylindrical rather than spherical symmetry [40]. The corresponding calculations on the 3D, asymptotically adS BTZ black hole [41][42][43] are rather simpler than those for 4D black holes and both the VP and RSET for a conformally-coupled scalar field can be found in closed form (both when there is a black hole event horizon and in the naked singularity case [44][45][46][47][48][49]). These closed-form expressions have been used to study the back-reaction of the quantum field on the space-time geometry via the semi-classical Einstein equation (1.1) [50][51][52].…”

Section: Introductionmentioning

confidence: 99%

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Vacuum polarization on topological black holes

Morley¹,

Taylor

Winstanley

2018

Class. Quantum Grav.

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We investigate quantum effects on topological black hole space-times within the framework of quantum field theory on curved space-times. Considering a quantum scalar field, we extend a recent mode-sum regularization prescription for the computation of the renormalized vacuum polarization to asymptotically anti-de Sitter black holes with nonspherical event horizon topology. In particular, we calculate the vacuum polarization for a massless, conformally-coupled scalar field on a fourdimensional topological Schwarzschild-anti-de Sitter black hole background, comparing our results with those for a spherically-symmetric black hole.(where G µν is the Einstein tensor, Λ the cosmological constant and g µν the metric tensor) the RSET governs the back-reaction of the quantum field on the space-time Vacuum polarization on topological black holes 2 geometry. The stress-energy tensor operatorT µν involves products of field operators evaluated at the same space-time point and is therefore divergent. In the point-splitting approach pioneered by DeWitt and Christensen [1][2][3], this divergence is regularized by considering the operators acting on two closely-separated space-time points. The RSET is computed by subtracting off the divergences, which are purely geometrical in nature and independent of the quantum state under consideration. The parametrix encoding these geometric divergent terms was originally constructed using a DeWitt-Schwinger expansion [1][2][3]. This prescription was made more precise by Wald [4,5] who gave a set of axioms that (almost) uniquely determine the RSET. Wald further showed that encoding the divergences using Hadamard elementary solutions, of which the DeWitt-Schwinger expansion can be thought of as a special case, produced an RSET satisfying these axioms. The Hadamard prescription provides a more elegant and general prescription than the DeWitt-Schwinger approach in that it can be applied for arbitrary field mass and arbitrary dimensions (see, for example, [6]).In practice, the computation of the RSET on space-times other than those with maximal symmetry (see, for example, [7,8]) is a challenging task. Of particular interest are black hole space-times, and there is a long history of RSET computations on asymptotically flat Schwarzschild black hole backgrounds, for both quantum scalar fields [9-13] and fields of higher spin [14][15][16][17]. In four space-time dimensions, Anderson, Hiscock and Samuel (AHS) [18,19] have developed a general methodology for finding the RSET on a static, spherically-symmetric black hole. Their method makes heavy use of WKB approximations and the RSET is given as a sum of two parts, the first of which is analytic and the second of which requires numerical computation. More recently, Levi, Ori and collaborators [20,21] have developed a new method (dubbed "pragmatic mode-sum regularization" [22]) for finding the RSET which does not rely on WKB approximations and has the advantage that it can be applied to stationary as well as static black holes [21].Given the challenges ...

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Section: Radial Functionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Vacuum polarization on topological black holes

Morley¹,

Taylor

Winstanley

2018

Class. Quantum Grav.

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“…By "labouring in the Earth in rightousnesse together," the True Levellers intended to "lift up the Creation from that bondage of Civill Propriety, which it groans under." 14 Officials and writers were unsure what to make of the small group of radicals digging on St. George's Hill. The Royalist newsbook Mercurius Pragmaticus made fun of "Prophet Everet's"-a reference to William Everard, an early leader of the Diggers-intention to convert "Oatlands Park into a Wildernesse, and preach Liberty to the oppressed Deer," while implicitly acknowledging the group's potential threat to social order.…”

Section: Origins and The English Revolutionmentioning

confidence: 99%

“…Yet finding local courts on the side of their oppressors, the group was forced to abandon St. George's Hill in August of 1649, just five months after the digging commenced. 16 The Diggers then moved to nearby Little Heath in Cobham, where they cultivated several acres of land, a number of houses were built, and new pamphlets were composed. Local hostility at Little Heath was less marked than at St. George's Hill, as a number of Diggers had ties to the community and the parish of Cobham, and a history of local social tensions may have contributed to popular sympathy for the True Leveller colony.…”

Section: Origins and The English Revolutionmentioning

confidence: 99%

“…Laboring in common for subsistence and comradeship was in fact "righteous," and was associated with "universall Liberty and Freedome," rather than with human sin and punishment. 28 Winstanley continued to develop the ideas first expressed in the The True Levellers' Standard Advanced over the following year, despite the severe repression experienced by the Diggers on St. George's Hill and at Little Heath. 29 The most complete expression of Winstanley's evolving materialist philosophy was published in 1652, however, after the successful elimination of the Digger communities.…”

Section: Winstanley's Ecologymentioning

confidence: 99%

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Winstanley’s Ecology: The English Diggers Today

Johnson¹

2013

Mon. Rev.

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D a n I e l J o h n s o n Beginning in 2011 a festival in honor of the seventeenth-century radical Gerrard Winstanley has been held annually in the town of Wigan, in northwestern England. Through poetry, music, film, and other activities, the celebration commemorates the life and ideas of Wigan-born Winstanley, leader of the Digger, or True Leveller, movement of the English Revolution (1640-1660). Largely forgotten for much of the eighteenth and nineteenth century, the communist thought of Winstanley was rediscovered by German and Russian Marxists in the late nineteenth century, leading to Winstanley's inclusion in the list of revolutionary thinkers Lenin had inscribed on the obelisk in Moscow's Alexander Garden. Led by Karl Marx and Friedrich Engels, Winstanley's name is eighth on the list of nineteen revolutionaries. From the socialists of the late nineteenth century to participants in the Wigan Festival in the early 2000s, Winstanley and the Diggers have provided inspiration for radical leftists for more than a hundred years. In the twenty-first century, True Leveller thought and practice has had a particularly notable influence on environmental and anti-consumerist activists like guerilla gardeners, freegans, urban allotment advocates, and squatters, among others. 1 What accounts for the lasting popularity of a relatively marginal social movement and its main theorist in the middle of seventeenthcentury England? More importantly for present purposes, why have Winstanley and the Diggers held a prominent place for modern activists concerned with environmental issues and consumerism? The True Levellers have appealed to anarchists as well as socialists, and the Digger legacy has been claimed by both traditions. 2 The Diggers rejected traditional forms of authority, viewing the state and organized religion as instruments of domination created to subdue and exploit common people. Winstanley's development of this idea therefore provides a crucial analysis of the social function of religion and the state in ways that prefigured later Marxist as well as anarchist theories. Lying at

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Manuscripts Associated with Winstanley

Cited by 2 publications

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Vacuum polarization on topological black holes

Vacuum polarization on topological black holes

Winstanley’s Ecology: The English Diggers Today

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