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In the previous paper, the number distribution of the low-lying spectra around Gaussian solutions representing various dimensional fuzzy tori of a tensor model was numerically shown to be in accordance with the general relativity on tori.
H. S. Snyder, “Quantized Space-Time,” Phys. Rev. 71
1947
Earlier work this paper cites.
C. N. Yang, “On Quantized Space-Time,” Phys. Rev. 72
1947
Earlier work this paper cites.
H. Salecker and E. P. Wigner, “Quantum Limitations of the Measurement of Space-Time Distances,” Phys. Rev. 109
1958
Earlier work this paper cites.
B. S. DeWitt, “Quantization of fields with infinite-dimensional invariance groups. III. Generalized Schwinger-Feynman theory,” J. Math. Phys. 3
1962
Earlier work this paper cites.
F. Karolyhazy, “Gravitation and Quantum Mechanics of Macroscopic Objects”, Nuovo Cim. A42
1966
Earlier work this paper cites.
A. B. Borisov and V. I. Ogievetsky, “Theory Of Dynamical Affine And Conformal Symmetries As Gravity Theory Of The Gravitational Field,” Theor. Math. Phys. 21
1974
Earlier work this paper cites.
R. Jackiw, “3 - Cocycle In Mathematics And Physics,” Phys. Rev. Lett. 54
1985
Earlier work this paper cites.
J. Ambjorn, B. Durhuus and T. Jonsson, “Three-Dimensional Simplicial Quantum Gravity And Generalized Matrix Models,” Mod. Phys. Lett. A 6
1991
Earlier work this paper cites.
N. Sasakura, “Tensor Model For Gravity And Orientability Of Manifold,” Mod. Phys. Lett. A 6
1991
Earlier work this paper cites.
N. Godfrey and M. Gross, “Simplicial Quantum Gravity In More Than Two-Dimensions,” Phys. Rev. D 43
1991
Earlier work this paper cites.
D. V. Boulatov, “A Model of three-dimensional lattice gravity,” Mod. Phys. Lett. A 7
1992
Earlier work this paper cites.
H. Ooguri, “Topological lattice models in four-dimensions,” Mod. Phys. Lett. A 7
1992
Earlier work this paper cites.
Y. J. Ng and H. Van Dam, “Limit to space-time measurement,” Mod. Phys. Lett. A 9
1994
Cited alongside, same era.
G. Amelino-Camelia, “Limits on the measurability of space-time distances in the semiclassical approximation of quantum gravity,” Mod. Phys. Lett. A 9
1994
Cited alongside, same era.
A. Connes,“Noncommutative Geometry”(Academic Press, 1994)
1994
Cited alongside, same era.
For example, see L. J. Garay, “Quantum gravity and minimum length,” Int. J. Mod. Phys. A 10
1995
Cited alongside, same era.
S. Doplicher, K. Fredenhagen and J. E. Roberts, “The Quantum structure of space-time at the Planck scale and quantum fields,” Commun. Math. Phys. 172
1995
Cited alongside, same era.
N. Sasakura, “An uncertainty relation of space-time,” Prog. Theor. Phys. 102
A. Konechny and A. S. Schwarz, “Introduction to M(atrix) theory and noncommutative geometry,” Phys. Rept. 360
2002
Later among the works it cites.
L. Cornalba and R. Schiappa, “Nonassociative star product deformations for D-brane worldvolumes in curved backgrounds,” Commun. Math. Phys. 225
2002
Later among the works it cites.
R. J. Szabo, “Quantum field theory on noncommutative spaces,” Phys. Rept. 378
2003
Later among the works it cites.
N. Sasakura, “An invariant approach to dynamical fuzzy spaces with a three-index variable - Euclidean models,” in the proceedings of 4th International Symposium on Quantum Theory and Symmetries (QTS-4), Varna, Bulgaria, 15-21 Aug 2005 [arXiv:hep-th/0511154]
2005
Later among the works it cites.
P. Bouwknegt, K. Hannabuss and V. Mathai, “Nonassociative tori and applications to T-duality,” Commun. Math. Phys. 264
2006
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1999
Cited alongside, same era.
T. Yoneya, “String theory and space-time uncertainty principle,” Prog. Theor. Phys. 103
2000
Cited alongside, same era.
J. Madore, “An introduction to noncommutative geometry,” Lect. Notes Phys. 543
2000
Cited alongside, same era.
R. De Pietri, L. Freidel, K. Krasnov and C. Rovelli, “Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space,” Nucl. Phys. B 574
2000
Cited alongside, same era.
R. De Pietri and C. Petronio, “Feynman diagrams of generalized matrix models and the associated manifolds in dimension 4,” J. Math. Phys. 41
2000
Cited alongside, same era.
P. M. Ho, “Making non-associative algebra associative,” JHEP 0111
2001
Cited alongside, same era.
S. Ramgoolam, “On spherical harmonics for fuzzy spheres in diverse dimensions,” Nucl. Phys. B 610
2001
Cited alongside, same era.
Later among the works it cites.
I. Ellwood and A. Hashimoto, “Effective descriptions of branes on non-geometric tori,” JHEP 0612
2006
Later among the works it cites.
Y. Sasai and N. Sasakura, “One-loop unitarity of scalar field theories on Poincare invariant commutative nonassociative spacetimes,” JHEP 0609
2006
Later among the works it cites.
N. Sasakura, “An invariant approach to dynamical fuzzy spaces with a three-index variable,” Mod. Phys. Lett. A 21
2006
Later among the works it cites.
N. Sasakura, “Tensor model and dynamical generation of commutative nonassociative fuzzy spaces,” Class. Quant. Grav. 23
2006
Later among the works it cites.
2006
Later among the works it cites.
P. M. Ho and Y. Matsuo, “A toy model of open membrane field theory in constant 3-form flux,” Gen. Rel. Grav. 39
2007
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