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Discreteness of area and volume in quantum gravity [Nucl. Phys. B 442 (1995) 593]

- C. Rovelli, L. Smolin
- Physics
- 2 November 1994

Abstract We study the operator that corresponds to the measurement of volume, in non-perturbative quantum gravity, and we compute its spectrum. The operator is constructed in the loop representation,… Expand

1,030 47- PDF

Lorentz invariance with an invariant energy scale.

- J. Magueijo, L. Smolin
- Physics, Medicine
- Physical review letters
- 11 December 2001

We propose a modification of special relativity in which a physical energy, which may be the Planck energy, joins the speed of light as an invariant, in spite of a complete relativity of inertial… Expand

810 35- PDF

Gravity's Rainbow

- J. Magueijo, L. Smolin
- Physics
- 14 May 2003

Non-linear special relativity (or doubly special relativity) is a simple framework for encoding properties of flat quantum space-time. In this paper we show how this formalism may be generalized to… Expand

240 33- PDF

A theory of everything?

- G. 't Hooft, L. Susskind, +8 authors R. Penrose
- Physics, Medicine
- Nature
- 20 January 2005

In his later years, Einstein sought a unified theory that would extend general relativity and provide an alternative to quantum theory. There is now talk of a ‘theory of everything’ (although… Expand

295 26

Principle of relative locality

- G. Amelino-Camelia, L. Freidel, J. Kowalski-Glikman, L. Smolin
- Physics
- 5 January 2011

We propose a deepening of the relativity principle according to which the invariant arena for nonquantum physics is a phase space rather than spacetime. Descriptions of particles propagating and… Expand

269 21- PDF

Loop space representation of quantum general relativity

- C. Rovelli, L. Smolin
- Physics
- 1 September 1988

Abstract We define a new representation for quantum general relativity, in which exact solutions of the quantum constraints may be obtained. The representation is constructed by means of a… Expand

615 16

Generalized Lorentz invariance with an invariant energy scale

- J. Magueijo, L. Smolin
- Physics
- 22 July 2002

The hypothesis that the Lorentz transformations may be modified at Planck scale energies is further explored. We present a general formalism for theories which preserve the relativity of inertial… Expand

506 14- PDF

Quantum gravity with a positive cosmological constant

- L. Smolin
- Physics
- 9 September 2002

A quantum theory of gravity is described in the case of a positive cosmological constant in 3 + 1 dimensions. Both old and new results are described, which support the case that loop quantum gravity… Expand

158 12- PDF

Linking topological quantum field theory and nonperturbative quantum gravity

- L. Smolin
- Physics
- 17 May 1995

Quantum gravity is studied nonperturbatively in the case in which space has a boundary with finite area. A natural set of boundary conditions is studied in the Euclidean signature theory in which the… Expand

215 11- PDF

The case for background independence

- L. Smolin
- Physics
- 25 July 2005

The aim of this paper is to explain carefully the arguments behind the assertion that the correct quantum theory of gravity must be background independent. We begin by recounting how the debate… Expand

174 9- PDF

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