×
Borissova, Johanna N.

Suppression of spacetime singularities in quantum gravity. (English) Zbl 07870508

Classical Quantum Gravity 41, No. 12, Article ID 127002, 24 p. (2024).
Summary: We investigate the requirement of suppressing spacetime geometries with a curvature singularity via destructive interference in the Lorentzian gravitational path integral as a constraint on the microscopic action for gravity. Based on simple examples of static spherically symmetric spacetimes, we demonstrate that complete singularity suppression in the path integral stipulates that the action for gravity be of infinite order in the curvature.
{© 2024 IOP Publishing Ltd}

MSC:

83C45 Quantization of the gravitational field
83C75 Space-time singularities, cosmic censorship, etc.

Keywords:

spacetime singularities; gravitational path integral; curvature singularities
Cite Review PDF
Full Text: DOI arXiv

References:

[1] Will, C. M., Living Rev. Relativ., 17, 4, 2014 · Zbl 1316.83019 · doi:10.12942/lrr-2014-4
[2] Hawking, S. W.; Penrose, R., Proc. R. Soc. A, 314, 529, 1970 · Zbl 0954.83012 · doi:10.1098/rspa.1970.0021
[3] ’t Hooft, G.; Veltman, M. J G., Ann. Inst. Henri Poincare A, 20, 69, 1974 · Zbl 1422.83019
[4] Goroff, M. H.; Sagnotti, A., Nucl. Phys. B, 266, 709, 1986 · doi:10.1016/0550-3213(86)90193-8
[5] van de Ven, A. E M., Nucl. Phys. B, 378, 309, 1992 · doi:10.1016/0550-3213(92)90011-Y
[6] Ashtekar, A.; Bianchi, E., Rep. Prog. Phys., 84, 2021 · doi:10.1088/1361-6633/abed91
[7] Perez, A., Living Rev. Relativ., 16, 3, 2013 · Zbl 1320.83008 · doi:10.12942/lrr-2013-3
[8] Eichhorn, A., Front. Astron. Space Sci., 5, 47, 2019 · doi:10.3389/fspas.2018.00047
[9] Loll, R., Class. Quantum Grav., 37, 2020 · Zbl 1478.83095 · doi:10.1088/1361-6382/ab57c7
[10] Lehners, J-L; Stelle, K. S., Phys. Rev. D, 100, 2019 · doi:10.1103/PhysRevD.100.083540
[11] Borissova, J. N.; Eichhorn, A., Universe, 7, 48, 2021 · doi:10.3390/universe7030048
[12] Lehners, J-L; Stelle, K. S., 2023
[13] Barrow, J. D.; Tipler, F. J., Nature, 331, 31-34, 1988 · Zbl 1369.83101 · doi:10.1038/331031a0
[14] Barrow, J. D., Phys. Rev. D, 101, 2020 · doi:10.1103/PhysRevD.101.023527
[15] Jonas, C.; Lehners, J-L; Quintin, J., Phys. Rev. D, 103, 2021 · doi:10.1103/PhysRevD.103.103525
[16] Hawking, S. W., Pontif. Acad. Sci. Scr. Varia, 48, 563, 1982
[17] Hartle, J. B.; Hawking, S. W., Phys. Rev. D, 28, 2960, 1983 · Zbl 1370.83118 · doi:10.1103/PhysRevD.28.2960
[18] Salvio, A., Front. Phys., 6, 77, 2018 · doi:10.3389/fphy.2018.00077
[19] Wang, A., Int. J. Mod. Phys. D, 26, 2017 · Zbl 1366.83003 · doi:10.1142/S0218271817300142
[20] Chojnacki, J.; Kwapisz, J., Phys. Rev. D, 104, 2021 · doi:10.1103/PhysRevD.104.103504
[21] Gibbons, G. W., Phys. Lett. A, 61, 3, 1977 · doi:10.1016/0375-9601(77)90244-4
[22] Gibbons, G. W.; Hawking, S. W.; Perry, M. J., Nucl. Phys. B, 138, 141, 1978 · doi:10.1016/0550-3213(78)90161-X
[23] Feldbrugge, J.; Lehners, J-L; Turok, N., Phys. Rev. Lett., 119, 2017 · doi:10.1103/PhysRevLett.119.171301
[24] Feldbrugge, J.; Lehners, J.; Turok, N., Phys. Rev. D, 95, 2017 · doi:10.1103/PhysRevD.95.103508
[25] Frolov, V. P., Phys. Rev. D, 94, 2016 · doi:10.1103/PhysRevD.94.104056
[26] Bardeen, J., 1968
[27] Dymnikova, I., Gen. Relativ. Gravit., 24, 235, 1992 · doi:10.1007/BF00760226
[28] Hayward, S. A., Phys. Rev. Lett., 96, 2006 · doi:10.1103/PhysRevLett.96.031103
[29] Bonanno, A.; Reuter, M., Phys. Rev. D, 62, 2000 · doi:10.1103/PhysRevD.62.043008
[30] Falls, K.; Litim, D. F.; Raghuraman, A., Int. J. Mod. Phys. A, 27, 2012 · Zbl 1247.83080 · doi:10.1142/S0217751X12500194
[31] Torres, R., Phys. Lett. B, 733, 21, 2014 · Zbl 1370.85003 · doi:10.1016/j.physletb.2014.04.010
[32] Adeifeoba, A.; Eichhorn, A.; Platania, A., Class. Quantum Grav., 35, 2018 · Zbl 1431.83046 · doi:10.1088/1361-6382/aae6ef
[33] Pawlowski, J. M.; Stock, D., Phys. Rev. D, 98, 2018 · doi:10.1103/PhysRevD.98.106008
[34] Platania, A., Eur. Phys. J. C, 79, 470, 2019 · doi:10.1140/epjc/s10052-019-6990-2
[35] Platania, A., 2023
[36] Torres, R., Phys. Rev. D, 95, 2017 · doi:10.1103/PhysRevD.95.124004
[37] Borissova, J. N.; Platania, A., J. High Energy Phys., JHEP03(2023)046, 2023 · Zbl 07690610 · doi:10.1007/JHEP03(2023)046
[38] Kofinas, G.; Zarikas, V., J. Cosmol. Astropart. Phys., JCAP10(2015)069, 2015 · doi:10.1088/1475-7516/2015/10/069
[39] Cai, Y-F; Easson, D. A., J. Cosmol. Astropart. Phys., JCAP09(2010)002, 2010 · doi:10.1088/1475-7516/2010/09/002
[40] Bonanno, A.; Reuter, M., Phys. Rev. D, 60, 1999 · doi:10.1103/PhysRevD.60.084011
[41] Emoto, H., 2005
[42] Rovelli, C.; Vidotto, F., Int. J. Mod. Phys. D, 23, 2014 · doi:10.1142/S0218271814420267
[43] Han, M.; Rovelli, C.; Soltani, F., Phys. Rev. D, 107, 2023 · doi:10.1103/PhysRevD.107.064011
[44] Carminati, J.; McLenaghan, R. G., J. Math. Phys., 32, 3135, 1991 · Zbl 0736.76081 · doi:10.1063/1.529470
[45] Zakhary, E.; Mcintosh, C. B G., Gen. Relativ. Gravit., 29, 539, 1997 · Zbl 0876.53012 · doi:10.1023/A:1018851201784
[46] Carminati, J.; Zakhary, E., p 831, 2002
[47] Page, D. N.; Shoom, A. A., Phys. Rev. Lett., 114, 2015 · doi:10.1103/PhysRevLett.114.141102
[48] McNutt, D. D.; Page, D. N., Phys. Rev. D, 95, 2017 · doi:10.1103/PhysRevD.95.084044
[49] Brooks, DChavy-Waddy, P CColey, A AForget, AGregoris, DMacCallum, M A HMcNutt, D D2018Gen. Relativ. Gravit.5037; Brooks, DChavy-Waddy, P CColey, A AForget, AGregoris, DMacCallum, M A HMcNutt, D D2020Gen. Relativ. Gravit.526(erratum)
[50] Coley, A.; McNutt, D., Class. Quantum Grav., 35, 2018 · Zbl 1383.83049 · doi:10.1088/1361-6382/aa9804
[51] Stelle, K. S., Gen. Relativ. Gravit., 9, 353, 1978 · doi:10.1007/BF00760427
[52] Holdom, B., Phys. Rev. D, 66, 2002 · doi:10.1103/PhysRevD.66.084010
[53] Holdom, B.; Ren, J., Phys. Rev. D, 95, 2017 · doi:10.1103/PhysRevD.95.084034
[54] Holdom, B., Scale Invariance in Particle Physics and Cosmology, 2019
[55] Lü, H.; Perkins, A.; Pope, C. N.; Stelle, K. S., Phys. Rev. D, 92, 2015 · doi:10.1103/PhysRevD.92.124019
[56] Borissova, J. N.; Held, A.; Afshordi, N., Class. Quantum Grav., 40, 2023 · Zbl 1521.83093 · doi:10.1088/1361-6382/acbc60
[57] Tate, K.; Visser, M., J. High Energy Phys., JHEP11(2011)072, 2011 · Zbl 1306.83029 · doi:10.1007/JHEP11(2011)072
[58] Dittrich, B.; Mizera, S.; Steinhaus, S., New J. Phys., 18, 2016 · doi:10.1088/1367-2630/18/5/053009
[59] Delcamp, C.; Dittrich, B., Class. Quantum Grav., 34, 2017 · Zbl 1380.83090 · doi:10.1088/1361-6382/aa8f24
[60] Feldbrugge, J.; Pen, U-L; Turok, N., Ann. Phys., NY, 451, 2023 · Zbl 1521.85003 · doi:10.1016/j.aop.2023.169255
[61] Jia, D., Class. Quantum Grav., 39, 2022 · Zbl 1486.83043 · doi:10.1088/1361-6382/ac4b04
[62] Asante, S. K.; Dittrich, B.; Padua-Argüelles, J., Class. Quantum Grav., 40, 2023 · Zbl 1522.83055 · doi:10.1088/1361-6382/accc01
[63] Feldbrugge, J.; Turok, N., Ann. Phys., NY, 454, 2023 · Zbl 1523.81119 · doi:10.1016/j.aop.2023.169315
[64] Loges, G. J.; Shiu, G.; Sudhir, N., J. High Energy Phys., JHEP08(2022)064, 2022 · Zbl 1522.83073 · doi:10.1007/JHEP08(2022)064
[65] Dittrich, B.; Padua-Argüelles, J., 2023
[66] Giddings, S. B., Int. J. Mod. Phys. A, 5, 3811, 1990 · doi:10.1142/S0217751X9000163X
[67] Marolf, D., J. High Energy Phys., JHEP07(2022)108, 2022 · Zbl 1522.83210 · doi:10.1007/JHEP07(2022)108
[68] Borissova, J. N.; Dittrich, B., 2023
[69] Dasgupta, A.; Loll, R., Nucl. Phys. B, 606, 357, 2001 · Zbl 0971.83020 · doi:10.1016/S0550-3213(01)00227-9
[70] Burzillà, N.; Giacchini, B. L.; Netto, T. D P.; Modesto, L., Eur. Phys. J. C, 81, 462, 2021 · doi:10.1140/epjc/s10052-021-09238-x
[71] Giacchini, B. L.; Netto, T. d P.; Modesto, L., Phys. Rev. D, 104, 2021 · doi:10.1103/PhysRevD.104.084072
[72] Giacchini, B. L.; de Paula Netto, T., 2023
[73] Knorr, B.; Platania, A., Phys. Rev. D, 106, 2022 · doi:10.1103/PhysRevD.106.L021901
[74] Diaz Dorronsoro, J.; Halliwell, J. J.; Hartle, J. B.; Hertog, T.; Janssen, O., Phys. Rev. D, 96, 2017 · doi:10.1103/PhysRevD.96.043505
[75] Feldbrugge, J.; Lehners, J-L; Turok, N., Phys. Rev. D, 97, 2018 · doi:10.1103/PhysRevD.97.023509
[76] Diaz Dorronsoro, J.; Halliwell, J. J.; Hartle, J. B.; Hertog, T.; Janssen, O.; Vreys, Y., Phys. Rev. Lett., 121, 2018 · doi:10.1103/PhysRevLett.121.081302
[77] Feldbrugge, J.; Lehners, J-L; Turok, N., Universe, 4, 100, 2018 · doi:10.3390/universe4100100
[78] Lehners, J-L, Phys. Rep., 1022, 1, 2023 · Zbl 1530.83051 · doi:10.1016/j.physrep.2023.06.002
[79] Witten, E., 2021
[80] Jacobson, T.; Visser, M. R., Phys. Rev. Lett., 130, 2023 · doi:10.1103/PhysRevLett.130.221501
[81] Tavlayan, A.; Tekin, B., 2023
[82] Stelle, K. S., Phys. Rev. D, 16, 953, 1977 · doi:10.1103/PhysRevD.16.953
[83] Asorey, M.; Lopez, J. L.; Shapiro, I. L., Int. J. Mod. Phys. A, 12, 5711, 1997 · Zbl 0902.53066 · doi:10.1142/S0217751X97002991
[84] Lee, T. D.; Wick, G. C., Nucl. Phys. B, 9, 209, 1969 · Zbl 0165.58203 · doi:10.1016/0550-3213(69)90098-4
[85] Lee, T. D.; Wick, G. C., Phys. Rev. D, 2, 1033, 1970 · Zbl 1227.81252 · doi:10.1103/PhysRevD.2.1033
[86] Modesto, L.; Rachwal, L., Nucl. Phys. B, 889, 228, 2014 · Zbl 1326.83061 · doi:10.1016/j.nuclphysb.2014.10.015
[87] Modesto, L.; Shapiro, I. L., Phys. Lett. B, 755, 279, 2016 · Zbl 1367.81152 · doi:10.1016/j.physletb.2016.02.021
[88] Modesto, L., Nucl. Phys. B, 909, 584, 2016 · Zbl 1342.83087 · doi:10.1016/j.nuclphysb.2016.06.004
[89] Anselmi, D.; Piva, M., Phys. Rev. D, 96, 2017 · doi:10.1103/PhysRevD.96.045009
[90] Knorr, B.; Ripken, C.; Saueressig, F., Class. Quantum Grav., 36, 2019 · Zbl 1478.83093 · doi:10.1088/1361-6382/ab4a53
[91] Knorr, B.; Ripken, C.; Saueressig, F., Nuovo Cimento C, 45, 28, 2022 · doi:10.1393/ncc/i2022-22028-5
[92] Knorr, B.; Ripken, C.; Saueressig, F., 2022
[93] Modesto, L.; Rachwał, L., Int. J. Mod. Phys. D, 26, 2017 · Zbl 1382.83044 · doi:10.1142/S0218271817300208
[94] Bas i. Beneito, A.; Calcagni, G.; Rachwał, L., 2022
[95] Biswas, T.; Gerwick, E.; Koivisto, T.; Mazumdar, A., Phys. Rev. Lett., 108, 2012 · doi:10.1103/PhysRevLett.108.031101
[96] Krasnikov, N. V., Theor. Math. Phys., 73, 1184, 1987 · doi:10.1007/BF01017588
[97] Modesto, L., Phys. Rev. D, 86, 2012 · doi:10.1103/PhysRevD.86.044005
[98] Tomboulis, E. T., 1997
[99] Boos, J.; Carone, C. D., J. High Energy Phys., JHEP06(2023)017, 2023 · Zbl 07716723 · doi:10.1007/JHEP06(2023)017
[100] Borissova, J. N.; Dittrich, B., Class. Quantum Grav., 40, 2023 · Zbl 1522.83248 · doi:10.1088/1361-6382/accbfb
[101] Borissova, J. N.; Dittrich, B.; Krasnov, K., 2023
[102] Deser, SRedlich, A N1986Phys. Lett. B176350; Deser, SRedlich, A N1987Phys. Lett. B186461(erratum)
[103] Giacchini, B. L.; de Paula Netto, T., Universe, 4, 140, 2018 · doi:10.3390/universe4120140
[104] Buoninfante, L.; Lambiase, G.; Miyashita, Y.; Takebe, W.; Yamaguchi, M., Phys. Rev. D, 101, 2020 · doi:10.1103/PhysRevD.101.084019
[105] Giacchini, B. L.; de Paula Netto, T., J. Cosmol. Astropart. Phys., JCAP07(2019)013, 2019 · Zbl 1515.83223 · doi:10.1088/1475-7516/2019/07/013
[106] de Paula Netto, T.; Giacchini, B. L.; Burzillà, N.; Modesto, L., 2023
[107] Bonanno, A.; Malafarina, D.; Panassiti, A., 2023
[108] Bueno, P.; Cano, P. A.; Hennigar, R. A., 2024
[109] Overduin, J.; Coplan, M.; Wilcomb, K.; Henry, R. C., Universe, 6, 22, 2020 · doi:10.3390/universe6020022
[110] Held, A., 2021
[111] Mathematica Wolfram ResearchMathematica(available at: www.wolfram.com/mathematica/)
[112] Martín-García, J MEfficient tensor computer algebra for the Wolfram Language(available at: www.xact.es)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.