For an ordering by topic, see here

Q indicates the quartile of the journal (best between Journal Citation Report and Scopus; rankings Q* unavailable in the year of publication are extrapolated from previous year). Single-authored papers (33 of the total) are underlined, the others are with my collaborators; authors order is always alphabetical. All texts are available via green open access at and

Peer-reviewed articles – Proceedings – Preprints under review – Other scientific works

Peer-reviewed articles

  1. G. Calcagni, Consistency equations in Randall-Sundrum cosmology: a test for braneworld inflation, JCAP 0311, 009 (2003) [arXiv:hep-ph/0310304] [INSPIRE-HEP] (Q1).
  2. G. Calcagni, Degeneracy of consistency equations in braneworld inflation, JCAP 0406, 002 (2004) [arXiv:hep-ph/0312246] [INSPIRE-HEP] (Q1).
  3. G. Calcagni, Slow-roll parameters in braneworld cosmologies, Phys. Rev. D 69, 103508 (2004) [arXiv:hep-ph/0402126] [INSPIRE-HEP] (Q1).
  4. G. Calcagni, Noncommutative models in patch cosmology, Phys. Rev. D 70, 103525 (2004) [arXiv:hep-th/0406006] [INSPIRE-HEP] (Q1).
  5. G. Calcagni, Consistency relations and degeneracies in (non)commutative patch inflation, Phys. Lett. B 606, 177 (2005) [arXiv:hep-ph/0406057] [INSPIRE-HEP] (Q1).
  6. G. Calcagni, S. Tsujikawa, Observational constraints on patch inflation in noncommutative spacetime, Phys. Rev. D 70, 103514 (2004) [arXiv:astro-ph/0407543] [INSPIRE-HEP] (Q1).
  7. G. Calcagni, Patch dualities and remarks on nonstandard cosmologies, Phys. Rev. D 71, 023511 (2005) [arXiv:gr-qc/0410027] [INSPIRE-HEP] (Q1).
  8. G. CalcagniNon-Gaussianity in braneworld and tachyon inflation, JCAP 0510, 009 (2005) [arXiv:astro-ph/0411773] [INSPIRE-HEP] (Q1).
  9. G. Calcagni, S. Tsujikawa, M. Sami, Dark energy and cosmological solutions in second-order string gravity, Class. Quantum Grav. 22, 3977 (2005) [arXiv:hep-th/0505193] [INSPIRE-HEP] (Q1).
  10. G. Calcagni, A.R. Liddle, E. Ramírez, Flow equations in generalized braneworld scenarios, Phys. Rev. D 72, 043513 (2005) [arXiv:astro-ph/0506558] [INSPIRE-HEP] (Q1).
  11. G. Calcagni, de Sitter thermodynamics and the braneworld, JHEP 0509, 060 (2005)[arXiv:hep-th/0507125] [INSPIRE-HEP] (Q1).
  12. G. Calcagni, Cosmological tachyon from cubic string field theory, JHEP 0605, 012 (2006)[arXiv:hep-th/0512259] [INSPIRE-HEP] (Q1).
  13. G. Calcagni, B. de Carlos, A. De Felice, Ghost conditions for Gauss-Bonnet cosmologies, Nucl. Phys. B 752, 404 (2006) [arXiv:hep-th/0604201] [INSPIRE-HEP] (Q1).
  14. G. Calcagni, A.R. Liddle, Tachyon dark energy models: dynamics and constraints, Phys. Rev. D 74, 043528 (2006) [arXiv:astro-ph/0606003] [INSPIRE-HEP] (Q1).
  15. G. Calcagni, M. Cortês, Inflationary scalar spectrum in loop quantum cosmology, Class. Quantum Grav. 24, 829 (2007) [arXiv:gr-qc/0607059] [INSPIRE-HEP] (Q1).
  16. G. Calcagni, M. Montobbio, G. Nardelli, Route to nonlocal cosmology, Phys. Rev. D 76, 126001 (2007) [arXiv:0705.3043] [INSPIRE-HEP] (Q1).
  17. G. Calcagni, G. Nardelli, Tachyon solutions in boundary and cubic string field theory, Phys. Rev. D 78, 126010 (2008) [arXiv:0708.0366] [INSPIRE-HEP] (Q1).
  18. G. Calcagni, A.R. Liddle, Stability of multi-field cosmological solutions, Phys. Rev. D 77, 023522 (2008) [arXiv:0711.3360] [INSPIRE-HEP] (Q1).
  19. G. Calcagni, M. Montobbio, G. Nardelli, Localization of nonlocal theories, Phys. Lett. B 662, 285 (2008) [arXiv:0712.2237] [INSPIRE-HEP] ( Q1).
  20. G. Calcagni, G. Nardelli, Nonlocal instantons and solitons in string models, Phys. Lett. B 669, 102 (2008) [arXiv:0802.4395] [INSPIRE-HEP] (Q1).
  21. S.H.S. Alexander, G. Calcagni, Quantum gravity as a Fermi liquid, Found. Phys. 38, 1148 (2008) [arXiv:0807.0225] [INSPIRE-HEP] (invited submission) (Q3).
  22. S.H.S. Alexander, G. Calcagni, Superconducting loop quantum gravity and the cosmological constant, Phys. Lett. B 672, 386 (2009) [arXiv:0806.4382] [INSPIRE-HEP] (Q1).
  23. G. Calcagni, G.M. Hossain, Loop quantum cosmology and tensor perturbations in the early universe, Adv. Sci. Lett. 2, 184 (2009) [arXiv:0810.4330] [INSPIRE-HEP] (invited research paper) (Q2*).
  24. G. Calcagni, S. Mercuri, Barbero-Immirzi field in canonical formalism of pure gravity, Phys. Rev. D 79, 084004 (2009) [arXiv:0902.0957] [INSPIRE-HEP] (Q1).
  25. G. Calcagni, Cosmology of the Lifshitz universe, JHEP 0909, 112 (2009) [arXiv:0904.0829] [INSPIRE-HEP] (Top Cite 2009) (Q1).
  26. G. Calcagni, G. Nardelli, Kinks of open superstring field theory, Nucl. Phys. B 823, 234 (2009) [arXiv:0904.3744] [INSPIRE-HEP] (Q1).
  27. G. Calcagni, G. Nardelli, Cosmological rolling solutions of nonlocal theories, Int. J. Mod. Phys. D 19, 329 (2010) [arXiv:0904.4245] [INSPIRE-HEP] (Q3).
  28. G. Calcagni, Detailed balance in Hořava-Lifshitz gravity, Phys. Rev. D 81, 044006 (2010) [arXiv:0905.3740] [INSPIRE-HEP] (Q1).
  29. S. Alexander, T. Biswas, G. Calcagni, Cosmological Bardeen-Cooper-Schrieffer condensate as dark energy, Phys. Rev. D 81, 043511 (2010)Erratum-ibid. D 81, 069902(E) (2010) [arXiv:0906.5161] [INSPIRE-HEP] (Q1).
  30. G. Calcagni, G. Nardelli, String theory as a diffusing system, JHEP 1002, 093 (2010)[arXiv:0910.2160] [INSPIRE-HEP] (Q1).
  31. G. Calcagni, Fractal universe and quantum gravity, Phys. Rev. Lett. 104, 251301 (2010) [arXiv:0912.3142] [INSPIRE-HEP] (Editor’s Suggestion) (Q1).
  32. G. Calcagni, Quantum field theory, gravity and cosmology in a fractal universe, JHEP 1003, 120 (2010) [arXiv:1001.0571] [INSPIRE-HEP] (Q1).
  33. G. Calcagni, G. Nardelli, Nonlocal gravity and the diffusion equation, Phys. Rev. D 82, 123518 (2010) [arXiv:1004.5144] [INSPIRE-HEP] (Q1).
  34. M. Bojowald, G. Calcagni, Inflationary observables in loop quantum cosmology, JCAP 1103, 032 (2011) [arXiv:1011.2779] [INSPIRE-HEP] (Q1).
  35. G. Calcagni, S. Gielen, D. Oriti, Two-point functions in (loop) quantum cosmology, Class. Quantum Grav. 28, 125014 (2011) [arXiv:1011.4290] [INSPIRE-HEP] (Q1).
  36. G. Calcagni, Gravity on a multifractal, Phys. Lett. B 697, 251 (2011) [arXiv:1012.1244] [INSPIRE-HEP] (Q1).
  37. M. Bojowald, G. Calcagni, S. Tsujikawa, Observational constraints on loop quantum cosmology, Phys. Rev. Lett. 107, 211302 (2011) [arXiv:1101.5391] [INSPIRE-HEP] (Q1).
  38. G. Calcagni, Discrete to continuum transition in multifractal spacetimes, Phys. Rev. D 84, 061501(R) (2011) [arXiv:1106.0295] [INSPIRE-HEP] (Rapid Communication) (Q1).
  39. G. Calcagni, Geometry of fractional spaces, Adv. Theor. Math. Phys. 16, 549 (2012) [arXiv:1106.5787] [INSPIRE-HEP] (Q1).
  40. M. Bojowald, G. Calcagni, S. Tsujikawa, Observational test of inflation in loop quantum cosmology, JCAP 1111, 046 (2011) [arXiv:1107.1540] [INSPIRE-HEP] (Q1).
  41. G. Calcagni, Geometry and field theory in multi-fractional spacetime, JHEP 1201, 065 (2012) [arXiv:1107.5041] [INSPIRE-HEP] (Q1).
  42. M. Arzano, G. Calcagni, D. Oriti, M. Scalisi, Fractional and noncommutative spacetimes, Phys. Rev. D 84, 125002 (2011) [arXiv:1107.5308] [INSPIRE-HEP] (Q1).
  43. K. Banerjee, G. Calcagni, M. Martín-Benito, Introduction to loop quantum cosmology, SIGMA 8, 016 (2012) [arXiv:1109.6801] [INSPIRE-HEP] (invited review) (Q2).
  44. G. Calcagni, S. Gielen, D. Oriti, Group field cosmology: a cosmological field theory of quantum geometry, Class. Quantum Grav. 29, 105005 (2012) [arXiv:1201.4151] [INSPIRE-HEP] ( invited submission) (Q1).
  45. G. Calcagni, G. Nardelli, Momentum transforms and Laplacians in fractional spaces, Adv. Theor. Math. Phys. 16, 1315 (2012) [arXiv:1202.5383] [INSPIRE-HEP] (Q1).
  46. G. Calcagni, Diffusion in quantum geometry, Phys. Rev. D 86, 044021 (2012) [arXiv:1204.2550] [INSPIRE-HEP] (Q1).
  47. G. Calcagni, Diffusion in multiscale spacetimes, Phys. Rev. E 87, 012123 (2013) [arXiv:1205.5046] [INSPIRE-HEP] (Q1).
  48. G. Calcagni, G. Nardelli, M. Scalisi, Quantum mechanics in fractional and other anomalous spacetimes, J. Math. Phys. 53, 102110 (2012) [arXiv:1207.4473] [INSPIRE-HEP] (Q2).
  49. G. Calcagni, D. Oriti, J. Thürigen, Laplacians on discrete and quantum geometries, Class. Quantum Grav. 30, 125006 (2013) [arXiv:1208.0354] [INSPIRE-HEP] (Q1).
  50. G. Calcagni, Observational effects from quantum cosmology, Ann. Phys. (Berlin) 525, 323 (2013); Erratum 2013 [arXiv:1209.0473] [INSPIRE-HEP] (invited research and review paper) (Q2).
  51. G. Calcagni, Multi-fractional spacetimes, asymptotic safety and Hořava-Lifshitz gravity, Int. J. Mod. Phys. A 28, 1350092 (2013) [arXiv:1209.4376] [INSPIRE-HEP] (Q3).
  52. G. Calcagni, G. Nardelli, Symmetries and propagator in multifractional scalar field theory, Phys. Rev. D 87, 085008 (2013) [arXiv:1210.2754] [INSPIRE-HEP] (Q1).
  53. G. Calcagni, G. Nardelli, Spectral dimension and diffusion in multiscale spacetimes, Phys. Rev. D 88, 124025 (2013) [arXiv:1304.2709] [INSPIRE-HEP] (Q1).
  54. G. Calcagni, A. Eichhorn, F. Saueressig, Probing the quantum nature of spacetime by diffusion, Phys. Rev. D 87, 124028 (2013) [arXiv:1304.7247] [INSPIRE-HEP] (Q1).
  55. G. Calcagni, J. Magueijo, D. Rodríguez-Fernández, Varying electric charge in multiscale spacetimes, Phys. Rev. D 89, 024021 (2014) [arXiv:1305.3497] [INSPIRE-HEP] (Q1).
  56. G. Calcagni, G. Nardelli, Quantum field theory with varying couplings, Int. J. Mod. Phys. A 29, 1450012 (2014) [arXiv:1306.0629] [INSPIRE-HEP] (Q2).
  57. G. Calcagni, L. Modesto, P. Nicolini, Super-accelerating bouncing cosmology in asymptotically-free non-local gravity, Eur. Phys. J. C 74, 2999 (2014) [arXiv:1306.5332] [INSPIRE-HEP] (Q1).
  58. G. Calcagni, Relativistic particle in multiscale spacetimes, Phys. Rev. D 88, 065005 (2013) [arXiv:1306.5965] [INSPIRE-HEP] (Q1).
  59. M. Arzano, G. Calcagni, Black-hole entropy and minimal diffusion, Phys. Rev. D 88, 084017 (2013) [arXiv:1307.6122] [INSPIRE-HEP] (Q1).
  60. G. Calcagni, Multi-scale gravity and cosmology, JCAP 1312, 041 (2013) [arXiv:1307.6382] [INSPIRE-HEP] (Q1).
  61. G. Calcagni, L. Modesto, Nonlocality in string theory, J. Phys. A 47, 355402 (2014) [arXiv:1310.4957] [INSPIRE-HEP] (Q2).
  62. G. Calcagni, S. Kuroyanagi, J. Ohashi, S. Tsujikawa, Strong Planck constraints on braneworld and non-commutative inflation, JCAP 1403, 052 (2014) [arXiv:1310.5186] [INSPIRE-HEP] (Q1).
  63. G. Calcagni, D. Oriti, J. Thürigen, Spectral dimension of quantum geometries, Class. Quantum Grav. 31, 135014 (2014) [arXiv:1311.3340] [INSPIRE-HEP] (Q1).
  64. G. Calcagni, C. Kiefer, C.F. Steinwachs, Quantum cosmological consistency condition for inflation, JCAP 1410, 026 (2014) [arXiv:1405.6541] [INSPIRE-HEP] (Q1).
  65. G. Calcagni, Loop quantum cosmology from group field theory, Phys. Rev. D 90, 064047 (2014) [arXiv:1407.8166] [INSPIRE-HEP] (Q1).
  66. A. Barrau, M. Bojowald, G. Calcagni, J. Grain, M. Kagan, Anomaly-free cosmological perturbations in effective canonical quantum gravity, JCAP 1505, 051 (2015) [arXiv:1404.1018] [INSPIRE-HEP] (Q1).
  67. G. Calcagni, L. Modesto, Nonlocal quantum gravity and M-theory, Phys. Rev. D 91, 124059 (2015) [arXiv:1404.2137] [INSPIRE-HEP] (Q1).
  68. G. Calcagni, L. Modesto, G. Nardelli, Quantum spectral dimension in quantum field theory, Int. J. Mod. Phys. D 25, 1650058 (2016) [arXiv:1408.0199] [INSPIRE-HEP] (Q2*).
  69. G. Calcagni, D. Oriti, J. Thürigen, Dimensional flow in discrete quantum geometries, Phys. Rev. D 91, 084047 (2015) [arXiv:1412.8390] [INSPIRE-HEP] (Q1).
  70. G. Calcagni, G. Nardelli, D. Rodríguez-Fernández, Particle-physics constraints on multifractal spacetimes, Phys. Rev. D 93, 025005 (2016) [arXiv:1512.02621] [INSPIRE-HEP] (Q1*).
  71. G. Calcagni, G. Nardelli, D. Rodríguez-Fernández, Standard Model in multiscale theories and observational constraints, Phys. Rev. D 94, 045018 (2016)  [arXiv:1512.06858] [INSPIRE-HEP] (Q1*).
  72. G. Calcagni, ABC of multi-fractal spacetimes and fractional sea turtles, Eur. Phys. J. C 76, 181 (2016) [arXiv:1602.01470] [INSPIRE-HEP] (Q1*).
  73. G. Calcagni, Lorentz violations in multifractal spacetimes, Eur. Phys. J. C 77, 291 (2017) [arXiv:1603.03046] [INSPIRE-HEP] (Q1*).
  74. M. Arzano, G. Calcagni, What gravity waves are telling about quantum spacetime, Phys. Rev. D 93, 124065 (2016) [arXiv:1604.00541] [INSPIRE-HEP] (Q1*).
  75. G. Calcagni, S. Kuroyanagi, S. Tsujikawa, Cosmic microwave background and inflation in multi-fractional spacetimes, JCAP 1608, 039 (2016) [arXiv:1606.08449] [INSPIRE-HEP] (Q1*).
  76. G. Calcagni, M. Ronco, Deformed symmetries in noncommutative and multifractional spacetimes, Phys. Rev. D 95, 045001 (2017) [arXiv:1608.01667] [INSPIRE-HEP] (Q1*).
  77. G. Calcagni, Multiscale spacetimes from first principles, Phys. Rev. D 95, 064057 (2017) [arXiv:1609.02776] [INSPIRE-HEP].
  78. G. Calcagni, Multifractional theories: an unconventional reviewJHEP 1703, 138 (2017) [arXiv:1612.05632] [INSPIRE-HEP] (Q1*).
  79. G. Calcagni, M. Ronco, D. Rodríguez Fernández, Black holes in multifractional and Lorentz-violating models, Eur. Phys. J. C 77, 335 (2017) [arXiv:1703.07811] [INSPIRE-HEP] (Q1*).
  80. M. Arzano, G. Calcagni, Finite entanglement entropy and spectral dimension in quantum gravity, Eur. Phys. J. C 77, 835 (2017) [arXiv:1704.01141] [INSPIRE-HEP] (Q1*).
  81. G. Calcagni, Complex dimensions and their observability, Phys. Rev. D 96, 046001 (2017) [arXiv:1705.01619] [INSPIRE-HEP] (Q1*).
  82. G. Amelino-Camelia, G. Calcagni, M. Ronco, Imprint of quantum gravity in the dimension and fabric of spacetimePhys. Lett. B 774, 630 (2017) [arXiv:1705.04876] [INSPIRE-HEP] (Q1*).
  83. G. Calcagni, M. Ronco, Dimensional flow and fuzziness in quantum gravity: emergence of stochastic spacetime, Nucl. Phys. B 923, 144 (2017) [arXiv:1706.02159] [INSPIRE-HEP] (Q1*).
  84. G. Calcagni, L. Modesto, Stability of Schwarzschild singularity in non-local gravity, Phys. Lett. B 773, 596 (2017) [arXiv:1707.01119] [INSPIRE-HEP] (Q1*).
  85. M. Arzano, G. Calcagni, Entanglement entropy, scale-dependent dimensions and the origin of gravity, Int. J. Mod. Phys. D 26, 1743030 (2017) [arXiv:1710.06164] [INSPIRE-HEP] (received Honorable Mention in the 2017 Essays on Gravitation of the Gravity Research Foundation) (Q2).
  86. G. Calcagni, Towards multifractional calculus, Front. Phys. 6, 58 (2018) [arXiv:1801.00396] [INSPIRE-HEP] (indexed journal still without impact factor).
  87. G. Calcagni, L. Modesto, G. Nardelli, Initial conditions and degrees of freedom of non-local gravity, JHEP 1805, 087 (2018) [arXiv:1803.00561] [INSPIRE-HEP] (Q1*).
  88. G. Calcagni, L. Modesto, Y.-S. Myung, Black-hole stability in non-local gravity, Phys. Lett. B 783, 19 (2018) [arXiv:1803.08388] [INSPIRE-HEP] (Q1*).
  89. G. Calcagni, Taming the beast: diffusion method in nonlocal gravity, Universe 4, 95 (2018) [arXiv:1809.04292] [INSPIRE-HEP] (indexed journal still without impact factor).


  1. G. Calcagni, Braneworld cosmology almost without branes, in Proceedings of the NATO Advanced Study Institute on String Theory: From Gauge Interactions to Cosmology, Cargèse, France, June 7-19, 2004, edited by L. Baulieu et al., NATO Sci. Ser. II 208, 297 (2006) [arXiv:hep-th/0409088] [INSPIRE-HEP].
  2. G. Calcagni, Recent developments in braneworld cosmology, in Proceedings of the Yukawa International Seminar 2005 (YKIS2005): The Next Chapter in Einstein’s Legacy, edited by M. Sasaki, J. Soda, T. Tanaka, Prog. Theor. Phys. Suppl. 163, 373 (2006) (Q4).
  3. G. Calcagni, Inflationary spectra and observations in loop quantum cosmology, J. Phys. Conf. Ser. 360, 012027 (2012) [arXiv:1110.0291] [INSPIRE-HEP].
  4. G. Calcagni, Introduction to multifractional spacetimes, AIP Conf. Proc. 1483, 31 (2012) [arXiv:1209.1110] [INSPIRE-HEP].
  5. G. Calcagni, C. Kiefer, C.F. Steinwachs, What can quantum cosmology say about the inflationary universe?, J. Phys. Conf. Ser. 626, 012003 (2015) [arXiv:1503.08770] [INSPIRE-HEP].
  6. G. Calcagni, Detecting quantum gravity in the sky, PoS(EPS-HEP2017)033 [arXiv:1709.07845] [INSPIRE-HEP].


Preprints under review


Other scientific works

  • G. Calcagni, Patch cosmology and noncommutative braneworlds. Talk given at DESY Theory Workshop 2004 (Hamburg, September 27 – October 1, 2004) [arXiv:hep-th/0410015] [INSPIRE-HEP].
  • G. Calcagni, Braneworld Cosmology and Noncommutative Inflation, PhD thesis (Parma University, Italy, 2005) [arXiv:hep-ph/0503044] [INSPIRE-HEP].

Peer-reviewed articles – Proceedings – <!–Preprints under review – –> Other scientific works