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Event Symmetry References
- M. Iftime, "(Gauge-) Natural Theories and Background Independence", (2007), gr-qc/0701011
- "Wikipedia: Event Symmetry", (2006), http://en.wikipedia.org/wiki/Event_Symmetry
- M. Iftime, "Gauge and the Hole Argument", (2006), gr-qc/0612141
- J. Magueijo, L. Smolin, C. Contaldi, "Holography and the scale-invariance of density fluctuations", (2006), astro-ph/0611695
- L. Motl. "Quantum Graphity" in "the reference frame (blog)" (2006) http://motls.blogspot.com/2006/11/quantum-graphity.html
- T. Konopka, F. Markopoulou, L. Smolin, "Quantum Graphity", (2006), hep-th/0611197
- K Furuta, M Hanada, H. Kawai, Y Kimura, "Field Equations of Massless Fields in the New Interpretation of the Matrix Model", hep-th/0611093
- M. Iftime, J. Stachel, "The Hole Argument. Physical Events and the Superspace", (2006), gr-qc/0610105
- M. Hanada, "Regularization of the Covariant Derivative on Curved Space by Finite Matrices", (2006), hep-th/0606163
- F. Markopoulou, "Towards Gravity from the Quantum", (2006), hep-th/0604120
- F. Finster, "Fermion Systems in Discrete Space-Time - Outer Symmetries and Spontaneous Symmetry Breaking", (2006), math-ph/0601039
- F. Finster, "The Principle of the fermionic projector: A New variational principle in space-time", (2006), hep-th/0601140
- F. Finster, "The Principle of the Fermionic Projector: An Approach for Quantum Gravity?", (2006), gr-qc/0601128
- D. P. Rickles, "A new spin on the hole argument", Studies in History and Philosophy of Modern Physics, 2005
- M. Iftime, J. Stachel, "The Hole Argument for Covariant Theories", Gen.Rel.Grav.38:1241-1252,2006 (2005), gr-qc/0512021
- M. Hanada, H. Kawai, Y. Kimura, "Describing Curved Spaces by Matrices", gr-qc/0512021
- J. Stachel, "Structure, individuality and quantum gravity" in Structural Foundations of Quantum Gravity, edited by D.P. Rickles, S.R.D. French and J. Saatsi Oxford University Press (2005) gr-qc/0507078
- J. Stachel, M. Iftime, "Fibered Manifolds, Natural Bundles, Structured Sets, G-Sets and all that: The Hole Story from Space Time to Elementary Particles", (2005), gr-qc/0505138
- D. Rickles, "The Metaphysics of Points, Particles, and Permutations", 2004
- O. Pooley, "Points, particles, and structural realism", (2004)
- Mao-Chuang Yeh "How our real world emergent?" (2004)
- O. Pooley, "Against a structural realistunderstanding of spacetime:the disanalogy between points and particles", (2004)
- S. R. D. French, D. P. Rickles, "Understanding Permutation Symmetry", quant-ph/0301020
- J. Stachel, "A Brief History of Space-Time" in "2001: a relativistic spacetime odyssey" ed Daniele. Dominici, L. Lusanna, Ignazio Ciufolini (2003)
- J. Stachel, "`The Relations Between Things' versus `The Things Between Relations': The Deeper Meaning of the Hole Argument", in Reading Natural Philosophy/ Essays in the History and Philosophy of Science and Mathematics, ed. David Malament Chicago and LaSalle, IL, Open Court pp 231-266 (2002)
- T. Azuma, H Kawai, "Matrix model with manifest general coordinate invariance", hep-th/0204078
- F. Finster, "The Principle of the Fermionic Projector, Introduction and Continuum Limit", (2000), hep-th/0202059
- G. Brightwell, H. F, Dowker, J. Henson, R. S. Garcia, R. D. Sorkin "General Covariance and the 'Problem of Time' in a Discrete Cosmology", (2002), gr-qc/0202097
- G. Belot "Rehabilitating Relationalism", (2000)
- J Baugh, D. R. Finkelstein, H. Saller, Z. Tang, "General Covariance is Bose-Einstein Statistics", on "On Einstein's Path, essays in honor of Engelbert Schucking, edited by Alex Harvey. Springer-Verlag, (1999)., p.67"
- H. Aoki, S. Iso, H. Kawai, Y. Kitazawa, T. Tada, A. Tsuchiya, "IIB Matrix Model", Progress of Theoretical Physics, 134 pp. 47-83 (1999) hep-th/9908038
- D.P. Rideout, R.D. Sorkin, "A Classical Sequential Growth Dynamics for Causal Sets", (1999) gr-qc/9904062
- S. Iso, H. Kawai, "Space-time and matter in IIB matrix model: Gauge symmetry and diffeomorphism.", Int.J.Mod.Phys.A15:651-666,(2000), hep-th/9903217
- P. Gibbs, "Event symmetric space-time", Weburbia press,(1998) http://www.weburbia.com/press/esst.htm
- P. Gibbs, "Event Symmetry for Superstrings.", Int.J.Theor.Phys.37:1243-1252,(1998)
- H. Aoki, S. Iso, H. Kawai, Y. Kitazawa, T. Tada, "Space-Time Structures from IIB Matrix Model", (1998) hep-th/9802085
- P. Gibbs, "The Principle of Event Symmetry.", Int.J.Theor.Phys.35:1037-1062, (1996)
- P. Gibbs, "Superstring partons and multiple quantization", (1996), hep-th/9609118
- D. R. Finkelstein, H. Saller, Z. Tang, "Hypercrystalline vacua", (1996), quant-ph/9608024
- D. R. Finkelstein, H. Saller, Z. Tang, "Beneath Gauge", Class.Quant.Grav.14:A127-A142, (1997), quant-ph/9608023
- F. Finster, "Derivation of Field Equations from the Principle of the Fermionic Projector", (1996), gr-qc/9606040
- P. Gibbs, "Is the universe uniquely determined by invariance under quantization?", (1996), hep-th/9603165
- G. Egan, "Permutation City", ISBN 006105481X (1995)
- P. Gibbs, "Is String Theory in Knots?", (1995), hep-th/9510042
- P. Gibbs, "The Small scale structure of space-time: A Bibliographical review.", (1995), hep-th/9506171
- P. Gibbs, "Event-Symmetric Physics", (1995), hep-th/9505089
- P. Gibbs, "Symmetry in the Topological Phase of String Theory", (1995), hep-th/9504149
- P. Gibbs, "Strings and Loops in Event Symmetric Space-Time", (1994), hep-th/9407136
- P. Gibbs, "Event symmetric open string field theory", (1994), hep-th/9405172
- P. Gibbs, "Models on Event-Symmetric Space-Time", (1994), hep-th/9404139
- R. Sorkin, "Role of time in the sum-over-histories framework for gravity", Int J Theor Phys, 33,3 (1994)
- S. Randjbar, J. Strathdee "A Four Fermion Lattice Model" (1994)
- A. Dimakis, F. Muller-Hoissen, "Differential calculus and gauge theory on finite sets", J.Phys. A27 (1994) 3159-3178, hep-th/9401149
- M. Bowick, P. Coddington, L. Han, G. Harris, E. Marinari "The Phase Diagram of Fluid Random Surfaceswith Extrinsic Curvature", (1992), hep-lat/9209020
- M.E. Agishtein, A.A. Migdal, "Critical Behavior of Dynamically Triangulated QuantumGravity in Four Dimensions", (1992), hep-lat/9204004
- G. Egan, "Dust", Isaac Azimov's Science Fiction Magazine, July 1992.
- T. Maudlin, "The Essence of Space-Time" Proceedings of the Biennial Meeting of the Philosophy of Science Association, Vol. (1988)
Multiple Quantization References
- L. Motl. "Quantum Graphity" in "the reference frame (blog)" (2006) http://motls.blogspot.com/2006/11/quantum-graphity.html
- L. Motl. "Evaluating extreme approaches to the theory of everything" in "the reference frame (blog)" (2006) http://motls.blogspot.com/2006/07/evaluating-extreme-approaches-to.html
- D. R. Finkelstein, "General quantization", quant-ph/0601002
- L. Motl, "Measuring the depth of ideas" in "the reference frame (blog)" (2005) http://motls.blogspot.com/2005/07/measuring-depth-of-ideas.html
- P. Gibbs "Why Superstrings?" (2005) http://www.weburbia1.demon.co.uk/WS.htm
- D. Graudenz "Multiple quantization in Fock space" In Castell, L. (ed.) et al.: Time, quantum and information, 355-360 (2003)
- K-G Schlesinger "On the universality of string theory", Found.Phys.Lett. 15 (2002) 523-536, hep-th/0008217
- J. Baez, "The Story of Nth Quantization" (2001) http://math.ucr.edu/home/baez/nth_quantization.html
- P. Gibbs, "Event symmetric space-time", Weburbia press,(1998) http://www.weburbia.com/press/esst.htm
- K-G Schlesinger "Towards Quantum Mathematics Part II: Manifold Notions", (1998)
- K-G Schlesinger "Towards Quantum Mathematics Part I: From Quantum Set Theory to Universal Quantum Mechanics", (1998)
- P. Gibbs, "Event Symmetry for Superstrings.", Int.J.Theor.Phys.37:1243-1252,(1998)
- D. R. Finkelstein, "Quantum Relativity", Heidelberg: Springer, (1996)
- H. Lyre, "Multiple quantization and the concept of information", Int.J.Theor.Phys.35:2219-2225, (1996), quant-ph/9702047
- P. Gibbs, "Superstring partons and multiple quantization", (1996), hep-th/9609118
- P. Gibbs, "Is the universe uniquely determined by invariance under quantization?", (1996), hep-th/9603165
- H. Lyre, "The Quantum theory of Ur objects as a theory of information", Int.J.Theor.Phys.34:1541-1552, (1995)
- L. Crane, "Clock and Category; IS QUANTUM GRAVITY ALGEBRAIC", gr-qc/9504038
- L. Crane, I. B. Frenkel, "Four dimensional topological quantum field theory, Hopf categories, and the canonical bases", hep-th/9405183
- T Görnitz, D Graudenz, CF v Weizsäcker "Quantum field theory of binary alternatives", International Journal of Theoretical Physics, (1992)
- M. Srednicki, "Infinite Quantization", UCSB-TH-88-07, Jul (1988)
- M. B. Green "World sheets for world sheets", Nucl. Phys. B293 (1987), 593-611
- C. F. von Weizsäcker "Probability and Quantum Mechanics", Br. J. Phil. Sci. 24,321 (1973).
- C. F. von Weizsäcker "Die Quantentheorie der einfachen Alternative (Komplementarität und Logik II)", Zeitschrift fur Naturforschung, 13a:245-253 (1958)
- C. F. von Weizsäcker "Komplementarität und Logik", Die Naturwissenschaften, Zeitschrift fur Physik, 60:573-586 (1955)
Higher Category Theory and Physics
- J. C. Baez, U. Schreiber, "Higher Gauge Theory", math.DG/0511710
- U. Schreiber, "From Loop Space Mechanics to Nonabelian Strings", hep-th/0509163
- J. C. Baez, J Dolan, "From Finite Sets to Feynman Diagrams", math.QA/0004133
- J. C. Baez, "Higher-Dimensional Algebra and Planck-Scale Physics", gr-qc/9902017
- J. C. Baez, J Dolan, "Categorification", math.QA/9802029
- L. Crane, "Clock and Category; IS QUANTUM GRAVITY ALGEBRAIC", gr-qc/9504038
Necklace Lie-Algebras
- V. Ginzburg, T. Schedler, "Moyal quantization and stable homology of necklace Lie algebras", (2006), math.QA/0605704
- A. Hamilton, "A super-analogue of Kontsevich's theorem on graph homology" math.QA/0510390
- C. I. Lazaroiu, "On the non-commutative geometry of topological D-branes" hep-th/0507222
- T. Schedler, "A Hopf algebra quantizing a necklace Lie algebra canonically associated to a quiver", (2004), math.QA/0406200
- H. Kajiura, "Noncommutative homotopy algebras associated with open strings" math.QA/0306332
- V. Ginzburg, "Non-commutative Symplectic Geometry, Quiver varieties, and Operads", math.QA/0005165
- R. Bocklandt, L. Le Bruyn, "Necklace Lie algebras and noncommutative symplectic geometry", (2000), math.AG/0010030
- C, Lenart, "Formal Group-Theoretic Generalizations of the Necklace Algebra, Including a q-Deformation" J. Algebra, (1998)
Group Field Theory
- D. Oriti, "A quantum field theory of simplicial geometry and the emergence of spacetime", hep-th/0612301
- J. Ryan, "A new proposal for group field theory I: the 3d case", gr-qc/0611080
- D. Oriti, "The group field theory approach to quantum gravity", gr-qc/0607032
- D. Oriti, "Quantum Gravity as a quantum field theory of simplicial geometry", gr-qc/0512103
- L. Freidel, "Group Field Theory: An overview", math.QA/0005165
- D. V. Boulatov, "A Model of Three-Dimensional Lattice Gravity", hep-th/9202074
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Last updated 8 January 2007
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