Characterisation and chromosomal localisation of C-Type LMW-GS

Shewry, Peter R.; Tatham, Arthur S.; Rovelli, Laura Inés; Masci, Stefania; Kasarda, Donald D.; Vensel, William H.; Lafiandra, D.

doi:10.1039/9781847552372-00188

Cited by 41 publications

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“…An example of this property is the area operator, whose spectra in terms of spin network states depends on an overall β factor. Rovelli and Thiemann [9] noted that the different conjugate pairs (Ẽ a i , A i a ) constructed with different β differed by a canonical transformation. However, this canonical transformation was not being unitarily implemented in the quantum theory.…”

Section: Introductionmentioning

confidence: 99%

Yang-Mills analogues of the Immirzi ambiguity

Gambini¹,

1999

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Section: Introductionmentioning

confidence: 99%

Yang-Mills analogues of the Immirzi ambiguity

Gambini¹,

1999

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“…Could M theory be constructed from only representation theory and combinatorics? While the answer is not known, we may note that quantum general relativity has been constructed [7,8,9,10,11,12,13] and it is almost of this form. The states of the theory are labeled by spin networks [14,8], which are constructed from combinatorics and the representation theory of SU (2).…”

Section: Introductionmentioning

confidence: 99%

Strings as perturbations of evolving spin networks

Smolin

2000

Nuclear Physics B - Proceedings Supplements

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A connection between non-perturbative formulations of quantum gravity and perturbative string theory is exhibited, based on a formulation of the non-perturbative dynamics due to Markopoulou. In this formulation the dynamics of spin network states and their generalizations is described in terms of histories which have discrete analogues of the causal structure and many fingered time of Lorentzian spacetimes. Perturbations of these histories turn out to be described in terms of spin systems defined on 2-dimensional timelike surfaces embedded in the discrete spacetime. When the history has a classical limit which is Minkowski spacetime, the action of the perturbation theory is given to leading order by the spacetime area of the surface, as in bosonic string theory. This map between a non-perturbative formulation of quantum gravity and a 1+1 dimensional theory generalizes to a large class of theories in which the group SU (2) is extended to any quantum group or supergroup. It is argued that a necessary condition for the non-perturbative theory to have a good classical limit is that the resulting 1+1 dimensional theory defines a consistent and stable perturbative string theory.

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“…These results come from the quantization of general relativity [3,4], string theory [5] and the thermodynamics of black holes [6,7,8]. (For reviews see [9,10,11,12]. )…”

Section: Introductionmentioning

confidence: 99%

“…In the next section we describe the basic structure of a causally evolving spin network, in language we hope is accessible to statistical physicists. We do not give any details about how these structures are related to general relativity or its quantization, these may be found elsewhere [3,4,22,23,10,9,11]. Section 3 and 4 then discuss the problem of the classical limit of this theory In section 5 some structures are defined on the set of quantum states of the theory, which are then used in sections 6 and 7, in the context of a simplified model, to argue for the existence of a classical limit that may reproduce general relativity.…”

Section: Introductionmentioning

confidence: 99%

Combinatorial Dynamics and Time in Quantum Gravity

Kauffman¹,

Smolin

Lecture Notes in Physics

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We describe the application of methods from the study of discrete dynamical systems to the study of histories of evolving spin networks. These have been found to describe the small scale structure of quantum general relativity and extensions of them have been conjectured to give background independent formulations of string theory. We explain why the the usual equilibrium second order critical phenomena may not be relevant for the problem of the continuum limit of such theories, and why the relevant critical phenomena analogue to the problem of the continuum limit is instead non-equilibrium critical phenomena such as directed percolation. The fact that such non-equilibrium critical phenomena may be self-organized implies the possibility that the classical limit of quantum theories of gravity may exist without fine tuning of parameters.

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Characterisation and chromosomal localisation of C-Type LMW-GS

Cited by 41 publications

References 0 publications

Yang-Mills analogues of the Immirzi ambiguity

Yang-Mills analogues of the Immirzi ambiguity

Strings as perturbations of evolving spin networks

Combinatorial Dynamics and Time in Quantum Gravity

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