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The causal set theory (CST) approach to quantum gravity postulates that at the most fundamental level, spacetime is discrete, with the spacetime continuum replaced by locally finite posets or "causal sets".
1905
Earlier work this paper cites.
Mathur A, Surya S (2019) Sorkin-Johnston vacuum for a massive scalar field in the 2D causal diamond. Phys Rev D100(4):045007, DOI 10.1103/PhysRevD.100.045007
1906
Earlier work this paper cites.
Robb A (1914) A Theory of Time and Space. Cambridge University Press
1914
Earlier work this paper cites.
Robb A (1936) Geometry Of Time And Space. At The University Press
1936
Earlier work this paper cites.
Feynman R (1944) The Character of Physical Law. Modern Library
1944
Earlier work this paper cites.
Zeeman EC (1964) Causality Implies the Lorentz Group. J Math Phys 5(4):490–493, DOI 10.1063/1.1704140
1964
Earlier work this paper cites.
Kronheimer E, Penrose R (1967) On the Structure of causal spaces. Proc Camb Phil Soc 63:481
1967
Earlier work this paper cites.
Finkelstein D (1969) Space-Time Code. Phys Rev 184:1261–1271, DOI 10.1103/PhysRev.184.1261
1969
Earlier work this paper cites.
Penrose R (1972) Techniques of Differential Topology in Relativity. SIAM
1972
Earlier work this paper cites.
Hawking S, Ellis G (1973) Large scale structure of spacetime. Cambridge University Press
1973
Earlier work this paper cites.
Kleitman DJ, Rothschild BL (1975) Asymptotic enumeration of partial orders on a finite set. Transactions of the American Mathematical Society 205:205–220
1975
Earlier work this paper cites.
Hawking S, King A, McCarthy P (1976) A New Topology for Curved Space-Time Which Incorporates the Causal, Differential, and Conformal Structures. J Math Phys
1976
Earlier work this paper cites.
Diestel J, Uhl J (1977) Vector Measures. American Mathematical Society
1977
Earlier work this paper cites.
Malament DB (1977) The class of continuous timelike curves determines the topology of spacetime. J Math Phys 18:1399–1404, DOI 10.1063/1.523436
1977
Earlier work this paper cites.
Dhar D (1978) Entropy and phase transitions in partially ordered sets. J Math Phys 19(8)
1978
Earlier work this paper cites.
Myrheim J (1978) Statistical Geometry. Tech. Rep. CERN-TH-2538, CERN
1978
Earlier work this paper cites.
Dhar D (1980) Asymptotic enumeration of partially ordered sets. Pacific J Math 90(2)
1980
Earlier work this paper cites.
Christ NH, Friedberg R, Lee TD (1982) Random Lattice Field Theory: General Formulation. Nucl Phys B 202:89, DOI 10.1016/0550-3213(82)90222-X
1982
Earlier work this paper cites.
Munkres JR (1984) Elements of algebraic topology. Addison-Wesley
1984
Earlier work this paper cites.
Wald R (1984) General relativity. University of Chicago Press
1984
Earlier work this paper cites.
Bombelli L, Koul RK, Lee J, Sorkin RD (1986) A Quantum Source of Entropy for Black Holes. Phys Rev D 34:373–383, DOI 10.1103/PhysRevD.34.373
1986
Earlier work this paper cites.
Stachel J (1986) Einstein and the quantum: Fifty years of struggle. In: Colodny R (ed) From Quarks to Quasars, Philosophical Problems of Modern Physics, U. Pittsburgh Press,, p 379
1986
Earlier work this paper cites.
Bombelli L (1987) Space-time as a Causal Set. PhD thesis, Syracuse University
1987
Earlier work this paper cites.
Bombelli L, Lee J, Meyer D, Sorkin R (1987) Space-Time as a Causal Set. Phys Rev Lett 59:521–524, DOI 10.1103/PhysRevLett.59.521
1987
Earlier work this paper cites.
Levichev AV (1987) Prescribing the conformal geometry of a Lorentz manifold by means of its causal structure. Sov Math Dokl 35:452–455
1987
Earlier work this paper cites.
El-Zahar MH, Sauer NW (1988) Asymptotic Enumeration of Two-dimensional Posets. Order 5:239
1988
Earlier work this paper cites.
Hemion G (1988) A Quantum Theory Of Space And Time. Int J Theor Phys 27:1145
1988
Earlier work this paper cites.
Meyer D (1988) The Dimension of Causal Sets,. PhD thesis, M.I.T
1988
Earlier work this paper cites.
Bombelli L, Meyer DA (1989) The Origin of Lorentzian Geometry. Phys Lett A 141:226–228, DOI 10.1016/0375-9601(89)90474-X
1989
Earlier work this paper cites.
Unruh WG, Wald RM (1989) Time and the Interpretation of Canonical Quantum Gravity. Phys Rev D 40:2598, DOI 10.1103/PhysRevD.40.2598
1989
Earlier work this paper cites.
Brightwell G, Gregory R (1991) The Structure of random discrete space-time. Phys Rev Lett 66:260–263, DOI 10.1103/PhysRevLett.66.260
1991
Earlier work this paper cites.
Greene BR, Plesser MR (1991) Mirror manifolds: A Brief review and progress report. In: 2nd International Symposium on Particles, Strings and Cosmology (PASCOS 1991) Boston, Massachusetts, March 25-30, 1991, pp 0648–666, hep-th/9110014
1991
Earlier work this paper cites.
Sorkin RD (1991) Spacetime and Causal Sets. In: D’Olivo JC (ed) Relativity and Gravitation: Classical and Quantum, World Scientific, Singapore, pp 150–173, proceedings of the SILARG VII Conference, Cocoyocan, Mexico
1991
Earlier work this paper cites.
Winkler P (1991) Random orders of dimension 2. Order 7:329
1991
Earlier work this paper cites.
Daughton AR (1993) The Recovery of Locality for Causal Sets and Related Topics. PhD thesis, Syracuse University
1993
Earlier work this paper cites.
Sorkin RD (1994) Quantum mechanics as quantum measure theory. Mod Phys Lett A 9:3119–3128, DOI 10.1142/S021773239400294X
1994
Earlier work this paper cites.
Wald RM (1994) Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics. University of Chicago Press
1994
Earlier work this paper cites.
Sorkin RD (1995) Quantum measure theory and its interpretation. In: Physics and experiments with linear colliders. Proceedings, 3rd Workshop, Morioka-Appi, Japan, September 8-12, 1995. Vol. 1, 2, gr-qc/9507057
1995
Earlier work this paper cites.
Stoyan D, Kendall W, Mecke J (1995) Stochastic geometry and its applications,. Wiley
1995
Earlier work this paper cites.
Beem J, Ehrlich P, Easley K (1996) Global Lorentzian Geometry. Marcel Dekker, New York
1996
Earlier work this paper cites.
Louko J, Sorkin RD (1997) Complex actions in two-dimensional topology change. Class Quantum Grav 14:179–204, DOI 10.1088/0264-9381/14/1/018
1997
Earlier work this paper cites.
Sorkin RD (1997) Forks in the road, on the way to quantum gravity. Int J Theor Phys 36:2759–2781, DOI 10.1007/BF02435709
1997
Earlier work this paper cites.
Bombelli L (2000) Statistical Lorentzian geometry and the closeness of Lorentzian manifolds. J Math Phys 41:6944–6958, DOI 10.1063/1.1288494
2000
Earlier work this paper cites.
Martin X, O’Connor D, Rideout DP, Sorkin RD (2001) On the ‘renormalization’ transformations induced by cycles of expansion and contraction in causal set cosmology. Phys Rev D 63:084026, DOI 10.1103/PhysRevD.63.084026
2001
Earlier work this paper cites.
Promel H, Steger A, Taraz A (2001) Phase Transitions in the Evolution of Partial Orders. J Combin Theory, Series A 94:230
2001
Earlier work this paper cites.
Rideout DP (2001) Dynamics of causal sets. PhD thesis, Syracuse U
2001
Earlier work this paper cites.
Rideout DP, Sorkin RD (2001) Evidence for a continuum limit in causal set dynamics. Phys Rev D 63:104011, DOI 10.1103/PhysRevD.63.104011
2001
Earlier work this paper cites.
Noldus J (2002) A new topology on the space of Lorentzian metrics on a fixed manifold. Class Quantum Grav 19:6075–6107, DOI 10.1088/0264-9381/19/23/313
2002
Earlier work this paper cites.
Salgado RB (2002) Some identities for the quantum measure and its generalizations. Mod Phys Lett A 17:711–728, DOI 10.1142/S0217732302007041
2002
Cited alongside, same era.
Brightwell G, Dowker HF, Garcia RS, Henson J, Sorkin RD (2003) Observables in causal set cosmology. PhysRev D67:084031, DOI 10.1103/PhysRevD.67.084031
2003
Cited alongside, same era.
Dou D, Sorkin RD (2003) Black hole entropy as causal links. Found Phys 33:279–296, DOI 10.1023/A:1023781022519
2003
Cited alongside, same era.
Reid DD (2003) The Manifold dimension of a causal set: Tests in conformally flat space-times. Phys Rev D 67:024034, DOI 10.1103/PhysRevD.67.024034
2003
Cited alongside, same era.
Ahmed M, Dodelson S, Greene PB, Sorkin R (2004) Everpresent Λ \Lambda . Phys Rev D 69:103523, DOI 10.1103/PhysRevD.69.103523
2004
Cited alongside, same era.
Brightwell G, Luczak M (2012) Order-invariant measures on fixed causal sets. Comb Prob Comput
2012
Later among the works it cites.
Fewster CJ, Verch R (2012) On a Recent Construction of ’Vacuum-like’ Quantum Field States in Curved Spacetime. Class Quantum Grav 29:205017, DOI 10.1088/0264-9381/29/20/205017
2012
Later among the works it cites.
Surya S (2012) Evidence for the continuum in 2D causal set quantum gravity. Class Quantum Grav 29:132001, DOI 10.1088/0264-9381/29/13/132001
2012
Later among the works it cites.
Ahmed M, Sorkin R (2013) Everpresent Λ \Lambda . II. Structural stability. Phys Rev D 87:063515, DOI 10.1103/PhysRevD.87.063515
2013
Later among the works it cites.
Benincasa DMT (2013) The action of a casual set. PhD thesis, Imperial College London
2013
Later among the works it cites.
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Bombelli L, Noldus J (2004) The Moduli space of isometry classes of globally hyperbolic space-times. Class Quantum Grav 21:4429–4454, DOI 10.1088/0264-9381/21/18/010
2004
Cited alongside, same era.
Dowker F, Henson J, Sorkin RD (2004) Quantum gravity phenomenology, Lorentz invariance and discreteness. Mod Phys Lett A 19:1829–1840, DOI 10.1142/S0217732304015026
2004
Cited alongside, same era.
Noldus J (2004) A Lorentzian Lipschitz, Gromov-Hausdoff notion of distance. Class Quantum Grav 21:839–850, DOI 10.1088/0264-9381/21/4/007
2004
Cited alongside, same era.
Dowker F (2005) Causal sets and the deep structure of spacetime. In: Ashtekar A (ed) 100 Years Of Relativity: space-time structure: Einstein and beyond, World Scientific, pp 445–464, DOI 10.1142/9789812700988_0016
2005
Cited alongside, same era.
Henson J (2005) Comparing causality principles. Stud Hist Phil Sci B 36:519–543, DOI 10.1016/j.shpsb.2005.04.003
2005
Cited alongside, same era.
Dowker F, Surya S (2006) Observables in extendcarliped percolation models of causal set cosmology. Class Quantum Grav 23:1381–1390, DOI 10.1088/0264-9381/23/4/018
2006
Cited alongside, same era.
Kaloper N, Mattingly D (2006) Low energy bounds on Poincare violation in causal set theory. Phys Rev D 74:106001, DOI 10.1103/PhysRevD.74.106001
2006
Cited alongside, same era.
Dowker F, Glaser L (2013) Causal set d’Alembertians for various dimensions. Class Quantum Grav 30:195016
2013
Later among the works it cites.
Glaser L, Surya S (2013) Towards a Definition of Locality in a Manifoldlike Causal Set. Phys Rev D 88:124026, DOI 10.1103/PhysRevD.88.124026
2013
Later among the works it cites.
Khetrapal S, Surya S (2013) Boundary Term Contribution to the Volume of a Small Causal Diamond. Class Quantum Grav 30:065005, DOI 10.1088/0264-9381/30/6/065005
2013
Later among the works it cites.
Roy M, Sinha D, Surya S (2013) Discrete geometry of a small causal diamond. Phys Rev D 87:044046, DOI 10.1103/PhysRevD.87.044046
2013
Later among the works it cites.
Wallden P (2013) Causal Sets Dynamics: Review & Outlook. J Phys Conf Ser 453:012023, DOI 10.1088/1742-6596/453/1/012023
2013
Later among the works it cites.
Aslanbeigi S, Saravani M, Sorkin RD (2014) Generalized causal set d‘Alembertians. JHEP 06:024, DOI 10.1007/JHEP06(2014)024
2014
Later among the works it cites.
Brum M, Fredenhagen K (2014) ‘Vacuum-like’ Hadamard states for quantum fields on curved spacetimes. Class Quantum Grav 31:025024, DOI 10.1088/0264-9381/31/2/025024
2014
Later among the works it cites.
Cortês M, Smolin L (2014) Quantum energetic causal sets. Phys Rev D 90:044035, DOI 10.1103/PhysRevD.90.044035
2014
Later among the works it cites.
Eichhorn A, Mizera S (2014) Spectral dimension in causal set quantum gravity. Class Quantum Grav 31:125007, DOI 10.1088/0264-9381/31/12/125007
2014
Later among the works it cites.
Glaser L (2014) A closed form expression for the causal set d’Alembertian. Class Quantum Grav 31:095007
2014
Later among the works it cites.
Saravani M, Aslanbeigi S (2014) On the Causal Set-Continuum Correspondence. Class Quantum Grav 31:205013, DOI 10.1088/0264-9381/31/20/205013
2014
Later among the works it cites.
Saravani M, Sorkin RD, Yazdi YK (2014) Spacetime entanglement entropy in 1 + 1 dimensions. Class Quantum Grav 31:214006, DOI 10.1088/0264-9381/31/21/214006
2014
Later among the works it cites.
Sorkin RD (2014) Expressing entropy globally in terms of (4D) field-correlations. J Phys: Conf Ser 484:012004, DOI 10.1088/1742-6596/484/1/012004
2014
Later among the works it cites.
Belenchia A, Benincasa DMT, Liberati S (2015) Nonlocal Scalar Quantum Field Theory from Causal Sets. JHEP 03:036, DOI 10.1007/JHEP03(2015)036
2015
Later among the works it cites.
Brightwell G, Luczak M (2015) The mathematics of causal sets. arXiv e-prints 1510.05612
2015
Later among the works it cites.
Buck M, Dowker F, Jubb I, Surya S (2015) Boundary Terms for Causal Sets. Class Quantum Grav 32:205004, DOI 10.1088/0264-9381/32/20/205004
2015
Later among the works it cites.
Bell JL, Korté H (2016) Hermann Weyl. In: Zalta EN (ed) The Stanford Encyclopedia of Philosophy, winter 2016 edn, Metaphysics Research Lab, Stanford University, URL https://plato.stanford.edu/archives/win2016/entries/weyl/
2016
Later among the works it cites.
Bolognesi T, Lamb A (2016) Simple indicators for Lorentzian causets. Class Quantum Grav 33:185004, DOI 10.1088/0264-9381/33/18/185004
2016
Later among the works it cites.
Glaser L, Surya S (2016) The Hartle–Hawking wave function in 2D causal set quantum gravity. Class Quantum Grav 33:065003, DOI 10.1088/0264-9381/33/6/065003
2016
Later among the works it cites.
Henson J, Rideout D, Sorkin RD, Surya S (2017) Onset of the Asymptotic Regime for (Uniformly Random) Finite Orders. Experimental Mathematics 26(3):253–266, DOI 10.1080/10586458.2016.1158134
2016
Later among the works it cites.
Lehner L, Myers RC, Poisson E, Sorkin RD (2016) Gravitational action with null boundaries. Phys Rev D 94:084046, DOI 10.1103/PhysRevD.94.084046
2016
Later among the works it cites.
Liberati S, Mattingly D (2016) Lorentz breaking effective field theory models for matter and gravity: theory and observational constraints. In: Peron R, Colpi M, Gorini V, Moschella U (eds) Gravity: Where Do We Stand?, Springer, pp 367–417, DOI 10.1007/978-3-319-20224-2_11
2016
Later among the works it cites.
Ashtekar A, Pullin J (2017) Applications. In: Ashtekar A, Pullin J (eds) Loop Quantum Gravity: The First 30 Years, World Scientific, p 181, DOI 10.1142/9789813220003_others03
2017
Later among the works it cites.
Buck M, Dowker F, Jubb I, Sorkin R (2017) The Sorkin–Johnston state in a patch of the trousers spacetime. Class Quantum Grav 34:055002, DOI 10.1088/1361-6382/aa589c
2017
Later among the works it cites.
Carlip S (2017) Dimension and Dimensional Reduction in Quantum Gravity. Class Quantum Grav 34:193001, DOI 10.1088/1361-6382/aa8535
2017
Later among the works it cites.
Dowker F, Zalel S (2017) Evolution of Universes in Causal Set Cosmology. Comptes Rendus Physique 18:246–253, DOI 10.1016/j.crhy.2017.03.002
2017
Later among the works it cites.
Dowker F, Surya S, X N (2017) Scalar Field Green Functions on Causal Sets. Class Quantum Grav 34:124002, DOI 10.1088/1361-6382/aa6bc7
2017
Later among the works it cites.
Eichhorn A, Mizera S, Surya S (2017) Echoes of Asymptotic Silence in Causal Set Quantum Gravity. Class Quantum Grav 34(16):16LT01, DOI 10.1088/1361-6382/aa7d1b
2017
Later among the works it cites.
Jubb I (2017) The Geometry of Small Causal Cones. Class Quantum Grav 34:094005, DOI 10.1088/1361-6382/aa68b7
2017
Later among the works it cites.
Jubb I, Samuel J, Sorkin R, Surya S (2017) Boundary and Corner Terms in the Action for General Relativity. Class Quantum Grav 34:065006, DOI 10.1088/1361-6382/aa6014
2017
Later among the works it cites.
Saravani M, Afshordi N (2017) Off-shell dark matter: A cosmological relic of quantum gravity. Phys Rev D 95:043514, DOI 10.1103/PhysRevD.95.043514
2017
Later among the works it cites.
Yazdi YK, Kempf A (2017) Towards Spectral Geometry for Causal Sets. Class Quantum Grav 34:094001, DOI 10.1088/1361-6382/aa663f
2017
Later among the works it cites.
Abajian J, Carlip S (2018) Dimensional reduction in manifoldlike causal sets. Phys Rev D 97:066007, DOI 10.1103/PhysRevD.97.066007
2018
Later among the works it cites.
Aghili M, Bombelli L, Pilgrim BB (2018) Statistical Lorentzian geometry and the dimensionality of Minkowski space. arXiv e-prints 1807.08701
2018
Later among the works it cites.
Eichhorn A (2018) Towards coarse graining of discrete Lorentzian quantum gravity. Class Quantum Grav 35:044001, DOI 10.1088/1361-6382/aaa0a3
2018
Later among the works it cites.
Eichhorn A, Surya S, Versteegen F (2018) Induced Spatial Geometry from Causal Structure. arXiv e-prints 1809.06192
2018
Later among the works it cites.
Fewster CJ (2018) The art of the state. Int J Mod Phys D 27:1843007, DOI 10.1142/S0218271818430071
2018
Later among the works it cites.
Glaser L (2018) The Ising model coupled to 2d orders. Class Quantum Grav 35:084001, DOI 10.1088/1361-6382/aab139
2018
Later among the works it cites.
Glaser L, O’Connor D, Surya S (2018) Finite Size Scaling in 2d Causal Set Quantum Gravity. Class Quantum Grav 35:045006, DOI 10.1088/1361-6382/aa9540
2018
Later among the works it cites.
Loomis SP, Carlip S (2018) Suppression of non-manifold-like sets in the causal set path integral. Class Quantum Grav 35:024002, DOI 10.1088/1361-6382/aa980b
2018
Later among the works it cites.
Sorkin RD, Yazdi YK (2018) Entanglement Entropy in Causal Set Theory. Class Quantum Grav 35:074004, DOI 10.1088/1361-6382/aab06f
2018
Later among the works it cites.
Surya S, X N, Yazdi YK (2018) Studies on the SJ Vacuum in de Sitter Spacetime. arXiv e-prints 1812.10228
2018
Later among the works it cites.
Zwane N, Afshordi N, Sorkin RD (2018) Cosmological tests of Everpresent Λ \Lambda . Class Quantum Grav 35:194002, DOI 10.1088/1361-6382/aadc36
2018
Later among the works it cites.