A New Physics Would Explain What Looks Like an Irreconcilable Tension between the Values of Hubble Constants and Allows <i>H<sub>0</sub></i> to Be Calculated Theoretically Several Ways — Oak Academic Publishing
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A New Physics Would Explain What Looks Like an Irreconcilable Tension between the Values of Hubble Constants and Allows <i>H<sub>0</sub></i> to Be Calculated Theoretically Several Ways
Observing galaxies receding from each other, Hubble found the universe’s expansion in 1929. His law that gives the receding speed as a function of distance implies a factor called Hubble constant H 0 . We want to validate our theoretical value of H 0 ≈ 72.09548580(32) km ⋅ s - 1 ⋅ MParsec - 1 with a new cosmological model found in 2019. This model predicts what may look like two possible values of H 0 . According to this model, the correct equation of the apparent age of the universe gives ~ 14.14 billion years. In approximation, we get the well-known equation 1/ H 0 ≈ 13.56 billion years. When we force these ages to fit the 1/ H 0 formula, it gives two different Hubble constant values of ~69.2 and 72.1 km ⋅ s - 1 ⋅ sdot; MParsec - 1 . When we apply a theoretical correction factor of η ≈ 1.042516951 on the first value, both target the second one. We found 42 equations of H 0 linking different physics constants. Some are used to measure H 0 as a function of the average temperature T of the Cosmological Microwave Background and the universal gravitational constant G : H 0 ≈ 72.06(90) km ⋅ s - 1 ⋅ MParsec - 1 from T by Cobra probe & Equation (16) H 0 ≈ 71.95(50) km ⋅ s - 1 ⋅ MParsec - 1 from T by Partridge & Equation (16) H 0 ≈ 72.086(36) km ⋅ s - 1 ⋅ MParsec -1 from G & Equation (34) H 0 ≈ 72.105(36) km ⋅ s - 1 ⋅ MParsec - 1 from G & Equations (74), (75), or (76). With 508 published values, H 0 ≈ 72.0957 ± 0.33 km ⋅ s - 1 ⋅ MParsec - 1 seems to be the “ideal” statistical result. It validates our model and our theoretical H 0 value which are useful to find various interactions with the different constants. Our model also explains the ambiguity between the different universe’s age measurements and seems to unlock a tension between two H 0 values.
KeywordsHubble Constant <i>H<sub>0</sub></i>Hubble TensionAge of the Universe
Hubble, E. (1929) Proceedings of the National Academy of Sciences of the United States of America, 15, 168-1973. https://doi.org/10.1073/pnas.15.3.168
Einstein, A. (1916) Annalen der Physik, 354, 769-822. https://doi.org/10.1002/andp.19163540702
Friedman, A. (1922) Zeitschrift für Physics, 10, 377-386. https://doi.org/10.1007/BF01332580
Lemaître, G. (1927) Annales de la Société Scientifique de Bruxelles, A47, 49-59. Partially Translated in English: Lemaître, G. (1931) Monthly Notices of the Royal Astronomical Society, 91, 483-490.
Verde, L., Treu, T. and Riess, A.G. (2019) Nature Astronomy, 3, 891-895. https://doi.org/10.1038/s41550-019-0902-0
Mercier, C. (2019) Journal of Modern Physics, 10, 641-662. https://doi.org/10.4236/jmp.2019.106046
Mercier, C. (2020) Journal of Modern Physics, 11, 1428-1465. https://doi.org/10.4236/jmp.2020.119089
Mohr, P.J., Newell, D.B. and Taylor, B.N. (2016) Review of Modern Physics, 88, Article ID: 035009. https://doi.org/10.1103/RevModPhys.88.035009
Jenkins, A., Villard, R. and Riess, A (2018) Hubblesite. https://stsci-opo.org/STScI-01EVSQXZ976ZY1QKQX17XJ7P5H.pdf
Einstein, A. (1905) Annalen der Physik, 322, 891-921. https://doi.org/10.1002/andp.19053221004
Einstein, A. (1911) Annalen der Physik, 340, 898-908. https://doi.org/10.1002/andp.19113401005
Grøn, Ø. (2016) American Journal of Physics, 84, 537-541. https://doi.org/10.1119/1.4944031
Binney, J. and Merrifield, M. (1998) Galactic Astronomy. Princeton University Press, Princeton, 816 p. https://press.princeton.edu/titles/6358.html
Mulligan, J.F. (1976) American Journal of Physics, 44, 960-969. https://doi.org/10.1119/1.10241
Mercier, C. (2019) Journal of Modern Physics, 10, 980-1001. https://doi.org/10.4236/jmp.2019.108065
Zichichi, A. (2000) Proceedings of the International School of Subnuclear Physics, 36, 1-708.
Carvalho, J.C. (1995) International Journal of Theoretical Physics, 34, 2507-2509. https://doi.org/10.1007/BF00670782
Dirac, P.A.M. (1938) Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, 165, 199-208. https://doi.org/10.1098/rspa.1938.0053
Dirac, P.A.M. (1974) Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, 338, 439-446. https://doi.org/10.1098/rspa.1974.0095
Partridge, R.B. (1997) An Introduction to the Cosmic Microwave Background Radiation. From Quantum Fluctuations to Cosmological Structures: Proceedings of the 1st Moroccan School of Astrophysics, Casablanca, 1-10 December 1996, 141-184.
Mercier, C. (2016) More than a Hundred Ways to Get the Large Number N. Not Published. http://pragtec.com/physique/index_en.html
Kimura, K., Hashimoto, M., Sakoda, K. and Sakoda, K. (2001) The Astrophysical Journal, 561, L19-L22. https://doi.org/10.1086/324569
Abbott, B.P., et al. (2021) The Astrophysical Journal, 909, Article No. 218. https://doi.org/10.3847/1538-4357/abdcb7
Baxter, E.J. and Sherwin, B.D. (2021) Monthly Notices of the Royal Astronomical Society, 501, 1023-1035. https://doi.org/10.1093/mnras/staa3706
Blakeslee, J.P., Jensen, J.B., Ma, C.-P., Milne, P.A. and Greene, J.E. (2021) The Astrophysical Journal, 911, Article No. 65. https://doi.org/10.3847/1538-4357/abe86a
Bonilla, A., Kumar, S. and Nunes, R.C. (2021) The European Physical Journal C, 81, Article No. 127. https://doi.org/10.1140/epjc/s10052-021-08925-z
Dainotti, M.G., et al. (2021) The Astrophysical Journal, 912, Article No. 150. https://doi.org/10.3847/1538-4357/abeb73
Denzel, P., Coles, J.P., Saha, P. and Williams, L.L.R. (2021) Monthly Notices of the Royal Astronomical Society, 501, 784-801. https://doi.org/10.1093/mnras/staa3603
Di Valentino, E. (2021) Monthly Notices of the Royal Astronomical Society, 502, 2065-2073. https://doi.org/10.1093/mnras/stab187
Gayathri, V., et al. (2021) The Astrophysical Journal Letters, 908, Article No. L34. https://doi.org/10.3847/2041-8213/abe388
Hagstotz, S., Reischke, R. and Lilow R (2021) A New Measurement of the Hubble Constant Using Fast Radio Bursts. arXiv:2104.04538v1, Not Published.
Khetan, N., et al. (2021) Astronomy and Astrophysics, 647, Article No. A72. https://doi.org/10.1051/0004-6361/202039196
Mukherjee, S., et al. (2021) Astronomy and Astrophysics, 646, Article No. A65. https://doi.org/10.1051/0004-6361/201936724
Park, J.W., et al. (2021) The Astrophysical Journal, 910, Article No. 39. https://doi.org/10.3847/1538-4357/abdfc4
Qi, J.-Z., Zhao, J.-W., Cao, S., Biesiada, M. and Liu, Y. (2021) Monthly Notices of the Royal Astronomical Society, 503, 2179-2186. https://doi.org/10.1093/mnras/stab638
Riess, et al. (2021) The Astrophysical Journal Letters, 908, L6. https://doi.org/10.3847/2041-8213/abdbaf
Soltis, J., Casertano, S. and Riess, A.G. (2021) The Astrophysical Journal Letters, 908, L5. https://doi.org/10.3847/2041-8213/abdbad
Wang, H. and Giannios, D. (2021) The Astrophysical Journal, 908, Article No. 200. https://doi.org/10.3847/1538-4357/abd39c
Zhang, J.-C., Jiao, K. and Zhang, T.-J. (2021) Model-Independent meAsurement of the Hubble Constant and the Absolute Magnitude of Type Ia Supernovae. Not Published. arXiv:2101.05897.
Aghanim, N.A., Forveille, T., Pentericci, L. and Shore, S. (2020) Astronomy & Astrophysics, 641, Article No. E1. https://doi.org/10.1051/0004-6361/202039265
Benevento, G., Hu, W. and Raveri, M. (2020) Physical Review D, 101, Article ID: 103517. https://doi.org/10.1103/PhysRevD.101.103517
Dietrich, T., et al. (2020) Science, 370, 1450-1453. https://doi.org/10.1126/science.abb4317
Gonzalez, M., Hertzberg, M.P. and Rompineve, F. (2020) Journal of Cosmology and Astroparticle Physics, 10, Article No. 028. https://doi.org/10.1088/1475-7516/2020/10/028
González-Serrena, B., Cuesta, A.J. and Ortiz-Mora, A. (2020) Contributions to the XIV.0 Scientific Meeting (Virtual) of the Spanish Astronomical Society.
Haboury, N. (2020) Measuring the Hubble Constant with Standard Sirens. University of Geneva, Astronomy Department, Geneva, 1-22, Not Published. https://www.researchgate.net/publication/343679057_Measuring_the_Hubble_constant_with_standard_sirens
Harvey, D. (2020) Monthly Notices of the Royal Astronomical Society, 498, 2871-2886. https://doi.org/10.1093/mnras/staa2522
Holanda, R.F.L., Pordeus-da-Silva, G. and Pereira, S.H. (2020) Journal of Cosmology and Astroparticle Physics, 9, Article No. 053. https://doi.org/10.1088/1475-7516/2020/09/053
Howlett, C. and Davis, T.M. (2020) Monthly Notices of the Royal Astronomical Society, 492, 3803-3815. https://doi.org/10.1093/mnras/staa049
De Jaeger, T., Stahl, B.E., Zheng, W., Filippenko, A.V., Riess, A.G. and Galbany, L. (2020) Monthly Notices of the Royal Astronomical Society, 496, 3402–3411. https://doi.org/10.1093/mnras/staa1801
Kim, Y.J., Kang, J., Lee, M.G. and Jang, I.S. (2020) The Astrophysical Journal, 905, Article No. 104. https://doi.org/10.3847/1538-4357/abbd97
Kreisch, C.D., Cyr-Racine, F.-Y. and Doré, O. (2020) Physical Review D, 101, Arrticle ID: 123505. https://doi.org/10.1103/PhysRevD.101.123505
Li, H. and Zhang, X. (2020) Science Bulletin, 65, 1419-1421. https://doi.org/10.1016/j.scib.2020.04.038
Millon, M., et al. (2020) Astronomy and Astrophysics, 639, Article No. A101. https://doi.org/10.1051/0004-6361/201937351
Mukherjee, S., Ghosh, A., Graham, M.J., Karathanasis, C., et al. (2020) First Measurement of the Hubble Parameter from Bright Binary Black Hole GW190521. Not Published (Under Review with MNRAS), arXiv:2009.14199, 1 8.
Nicolaou, C., Lahav, O., Lemos, P., Hartley, W. and Braden, J. (2020) Monthly Notices of the Royal Astronomical Society, 495, 90-97. https://doi.org/10.1093/mnras/staa1120
Niedermann, F. and Sloth, M.S. (2020) Physical Review D, 102, Article ID: 063527. https://doi.org/10.1103/PhysRevD.102.063527
Palmese, A., et al. (2020) The Astrophysical Journal Letters, 900, Article No. L33. https://doi.org/10.3847/2041-8213/abaeff
Pandey, K.L., Karwalb, T. and Dasc, S. (2020) Journal of Cosmology and Astroparticle Physics, 7, Article No. 026. https://doi.org/10.1088/1475-7516/2020/01/026
Pesce, D.W., Braatz, J.A., Reid, M.J., Riess, A.G., et al. (2020) The Astrophysical Journal, 891, Article No. L1. https://doi.org/10.3847/2041-8213/ab75f0
Pogosian, L., Zhao, G.-B. and Jedamzik, K. (2020) The Astrophysical Journal Letters, 904, Article No. L17. https://doi.org/10.3847/2041-8213/abc6a8
Guo, R.-Y., Zhang, J.-F. and Zhang, X. (2020) Science China Physics, Mechanics & Astronomy, 63, Article No. 290406. https://doi.org/10.1007/s11433-019-1514-0
Schombert, J., McGaugh, S. and Lelli, F. (2020) The Astronomical Journal, 160, Article No. 71. https://doi.org/10.3847/1538-3881/ab9d88
Shajib, A.J., et al. (2020) Monthly Notices of the Royal Astronomical Society, 494, 6072-6102. https://doi.org/10.1093/mnras/staa828
Sharov, G.S. and Sinyakov, E.S. (2020) Mathematical Modelling and Geometry, 8, 1-20. https://doi.org/10.26456/mmg/2020-811
Vasylyev, S.S. and Filippenko, A.V. (2020) The Astrophysical Journal, 902, Article No. 149. https://doi.org/10.3847/1538-4357/abb5f9
Vogl, V. (2020) Cosmological Distances of Type II Supernovae from Radiative Transfer Modeling. Dissertation, Max-Planck-Institut Fur Astrophysik, Garching bei München, 172 p, Not Published. https://mediatum.ub.tum.de/doc/1542626/1542626.pdf
Wei, J.-J. and Melia, F. (2020) The Astrophysical Journal, 897, Article No. 127. https://doi.org/10.3847/1538-4357/ab959b
Wu, W.L.K., Motloch, P., Hu, W. and Raveri, M. (2020) Physical Review D, 102, Article ID: 023510. https://doi.org/10.1103/PhysRevD.102.023510
Yang, T., Birrer, S. and Hu, B. (2020) Monthly Notices of the Royal Astronomical Society, 497, L56-L61. https://doi.org/10.1093/mnrasl/slaa107
Zhang, X. and Huang, Q.-G. (2020) Science China Physics Mechanical Astronomy, 63, Article No. 290402. https://doi.org/10.1007/s11433-019-1504-8
Agrawal, P., Cyr-Racine, F.-Y., Pinner, D. and Randall, L. (2019) Rock ‘n’ Roll Solutions to the Hubble Tension. Cornell University, Ithaca, arXiv:1904.01016v1, Not Published.
Birrer, S., Treu, T., Rusu, C.E., Bonvin, V., et al. (2019) Monthly Notices of the Royal Astronomical Society, 484, 4726-4753. https://doi.org/10.1093/mnras/stz200
Chang, Z., Huang, Q.-G., Wang, S. and Zhao, Z.-C. (2019) The European Physical Journal C, 79, Article No. 177. https://doi.org/10.1140/epjc/s10052-019-6664-0
Chen, G.C.-F., Fassnacht, C.D., Suyu, S.H., Rusu CE, et al. (2019) Monthly Notices of the Royal Astronomical Society, 490, 1743-1773. https://doi.org/10.1093/mnras/stz2547
Collett, T., Montanari, F. and Räsänen, S. (2019) Physical Review Letters, 123, Article ID: 231101. https://doi.org/10.1103/PhysRevLett.123.231101
Cuceu, A., Farr, J., Lemos, P. and Font-Ribera, A. (2019) Journal of Cosmology and Astroparticle Physics, 10, Article No. 044. https://doi.org/10.1088/1475-7516/2019/10/044
Domínguez, A., et al. (2019) The Astrophysical Journal, 885, Article No. 137. https://doi.org/10.3847/1538-4357/ab4a0e
Dutta, K., et al. (2019) Physical Review D, 100, Article ID: 075028. https://doi.org/10.1103/PhysRevD.100.075028
Fishbach, M., et al. (2019) The Astrophysical Journal Letters, 871, Article No. L13. https://doi.org/10.3847/2041-8213/aaf96e
Freedman, W.L., et al. (2019) The Astrophysical Journal, 882, Article No. 34. https://doi.org/10.3847/1538-4357/ab2f73
Guo, R.-Y., Zhang, J.-F. and Zhang, X. (2019) Journal of Cosmology and Astroparticle Physics, 2, Article No. 054. https://doi.org/10.1088/1475-7516/2019/02/054
Hotokezaka, K., et al. (2019) Nature Astronomy, 3, 940-944. https://doi.org/10.1038/s41550-019-0820-1
Jee, I., et al. (2019) Science, 365, 1134-1138. https://doi.org/10.1126/science.aat7371
Kozmanyan, A., Bourdin, H., Mazzotta, P., Rasia, E. and Sereno, M. (2019) Astronomy & Astrophysics, 621, Article No. A34. https://doi.org/10.1051/0004-6361/201833879
Liao, K., Shafieloo, A., Keeley, R.E. and Linder, E.V. (2019) The Astrophysical Journal Letters, 886, Article No. L23. https://doi.org/10.3847/2041-8213/ab5308
Macaulay, E., et al. (2019) Monthly Notices of the Royal Astronomical Society, 486, 2184-2196. https://doi.org/10.1093/mnras/stz978
Martinelli, M. and Tutusaus, I. (2019) Symmetry, 11, Article No. 986. https://doi.org/10.3390/sym11080986
Park, C.-G. and Ratra, B. (2019) Astrophysics and Space Science, 364, Article No. 134. https://doi.org/10.1007/s10509-019-3627-8
Reid, M.J., Pesce, D.W. and Riess, A.G. (2019) The Astrophysical Journal, 886, Article No. L27. https://doi.org/10.3847/2041-8213/ab552d
Riess, A.G., et al. (2019) The Astrophysical Journal, 876, Article No. 85. https://doi.org/10.3847/1538-4357/ab1422
Rusu, C.E., et al. (2020) Monthly Notices of the Royal Astronomical Society, 498, 1440-1468. https://doi.org/10.1093/mnras/stz3451
Ryan, J., Chen, Y. and Ratra, B. (2019) Monthly Notices of the Royal Astronomical Society, 488, 3844-3856. https://doi.org/10.1093/mnras/stz1966
Saha, S. and Sahoo, S. (2019) The African Review of Physics, 14, 7-9.
Shajib, A.J., Birrer, S., Treu, T., Agnello, A., et al. (2019) Monthly Notices of the Royal Astronomical Society, 494, 6072-6102. https://doi.org/10.1093/mnras/staa828
Soares-Santos, M., et al. (2019) The Astrophysical Journal Letters, 876, Article No. L7. https://doi.org/10.3847/2041-8213/ab14f1
Taubenberger, S., et al. (2019) Astronomy and Astrophysics, 628, Article No. L7. https://doi.org/10.1051/0004-6361/201935980
Tiwari, S., Haney, M. and Boetzel, Y. (2019) A Gravitational-Wave Measurement of the Hubble Constant Following the Second Observing Run of Advanced LIGO and Virgo. University of Zurich, Zurich, Not Published. arXiv.org 1908.06060.
Verde, L., Treu, T. and Riess, A.G. (2019) Nature Astronomy, 3, 891-895. https://doi.org/10.1038/s41550-019-0902-0
Wong, K.C., et al. (2019) Monthly Notices of the Royal Astronomical Society, 498, 1420-1439. https://doi.org/10.1093/mnras/stz3094
Yuan, W., et al. (2019) The Astrophysical Journal, 886, Article No. 61. https://doi.org/10.3847/1538-4357/ab4bc9
Zhang, X. and Huang, Q.-G. (2019) Communications in Theoretical Physics, 71, 826-830. https://doi.org/10.1088/0253-6102/71/7/826
Zeng, H. and Yan, D. (2019) The Astrophysical Journal, 882, Article No. 87. https://doi.org/10.3847/1538-4357/ab35e3
Abbott, T.M.C., et al. (2018) Monthly Notices of the Royal Astronomical Society, 480, 3879-3888. https://doi.org/10.1093/mnras/sty1939
Benetti, M., Graef, L.L. and Alcaniz, J.S. (2018) Journal of Cosmology and Astroparticle Physics, 7, Article No. 066. https://doi.org/10.1088/1475-7516/2018/07/066
Braatz, J., et al. (2018) Proceedings of the International Astronomical Union, 13, 86-91. https://doi.org/10.1017/S1743921317010249
Cantiello, M., et al. (2018) The Astrophysical Journal Letters, 854, Article No. L31. https://doi.org/10.3847/2041-8213/aaad64
Chen, H.-Y., Fishbach, M. and Holz, D.E. (2018) Nature, 562, 545-547. https://doi.org/10.1038/s41586-018-0606-0
Choudhury, S.R. and Choubey, S. (2019) Journal of Cosmology and Astroparticle Physics, 9, Article No. 017. https://doi.org/10.1088/1475-7516/2018/09/017
Dhawan, S., Jha, S.W. and Leibundgut, B. (2018) Astronomy and Astrophysics, 609, Article No. A72. https://doi.org/10.1051/0004-6361/201731501
Di Valentino, E. and Melchiorri, A. (2018) Physical Review D, 97, Article ID: 041301. https://doi.org/10.1103/PhysRevD.97.041301
Gómez-Valent, A. and Amendola, L. (2018) Journal of Cosmology and Astroparticle Physics, 4, Article No. 051. https://doi.org/10.1088/1475-7516/2018/04/051
Grillo, C., et al. (2018) The Astrophysical Journal, 860, Article No. 94. https://doi.org/10.3847/1538-4357/aac2c9
Hoeneisen, B. (2018) International Journal of Astronomy and Astrophysics, 8, 386-405. https://doi.org/10.4236/ijaa.2018.84027
Lee, M.G. and Jang, I.S. (2018) The TRGB and the Hubble Constant in 2017: TIPSNU. In: Jensen, J., Michael Rich, R. and de Grijs, R., Eds., Stellar Populations and the Distance Scale, Vol. 514, Astronomical Society of the Pacific, San Francisco, 143-150.
Riess, A.G., et al. (2018) The Astrophysical Journal, 861, 1-13.
Riess, A.G., et al. (2018) The Astrophysical Journal, 855, Article No. 136.
Van Putten, M.H.P.M. (2018) European Physical Journal Web of Conferences, 168, Article No. 08005. https://doi.org/10.1051/epjconf/201816808005
Vitale, S. and Chen, H.-Y. (2018) Physical Review Letters, 121, Article ID: 021303. https://doi.org/10.1103/PhysRevLett.121.021303
Yu, H., Ratra, B. and Wang, F.-Y. (2018) The Astrophysical Journal, 856, Article No. 3. https://doi.org/10.3847/1538-4357/aab0a2
Zhang, J. (2018) Publications of the Astronomical Society of the Pacific, 130, Article ID: 117002. https://doi.org/10.1088/1538-3873/aae4ca
Abbott, B.P., et al. (2017) Nature, 551, 85-88. https://doi.org/10.1038/nature24471
Bethapudi, S. and Desai, S. (2017) The European Physical Journal Plus, 132, Article No. 78. https://doi.org/10.1140/epjp/i2017-11390-3
Bonvin, V., et al. (2017) Monthly Notices of the Royal Astronomical Society, 465, 4914-4930. https://doi.org/10.1093/mnras/stw3006
Cardona, W., Kunza, M. and Valeria, P. (2017) Journal of Cosmology and Astroparticle Physics, 3, Article No. 056. https://doi.org/10.1088/1475-7516/2017/03/056
Chen, Y., Kumar, S. and Ratra, B. (2017) The Astrophysical Journal, 835, Article No. 86. https://doi.org/10.3847/1538-4357/835/1/86
Farooq, O., Madiyar, F.R., Crandall, S. and Ratra, B. (2017) The Astrophysical Journal, 835, Article No. 26. https://doi.org/10.3847/1538-4357/835/1/26
Feeney, S.M., Mortlock, D.J. and Dalmasso, N. (2017) Monthly Notices of the Royal Astronomical Society, 476, 3861-3882. https://doi.org/10.1093/mnras/sty418
Grieb, J.N., et al. (2017) Monthly Notices of the Royal Astronomical Society, 467, 2085-2112. https://doi.org/10.1093/mnras/stw3384
Guo, R.-Y. and Zhang, X. (2017) The European Physical Journal C, 77, Article No. 882. https://doi.org/10.1140/epjc/s10052-017-5454-9
Hjorth, J., et al. (2017) The Astrophysical Journal Letters, 848, Article No. L31. https://doi.org/10.3847/2041-8213/aa9110
Huang, H. and Huang, L. (2017) International Journal of Modern Physics D, 26, Article No. 1740001. https://doi.org/10.1142/S0218271817400016
Jang, I.S. and Lee, M.G. (2017) The Astrophysical Journal, 836, Article No. 74. https://doi.org/10.3847/1538-4357/836/1/74
Pritychenko, B. (2017) EPJ Web of Conferences, 146, Article No. 01006. https://doi.org/10.1051/epjconf/201714601006
Wang, Y., Xu, L. and Zhao, G.-B. (2017) The Astrophysical Journal, 849, Article No. 84. https://doi.org/10.3847/1538-4357/aa8f48
Wei, J.-J. and Wu, X.-F. (2017) The Astrophysical Journal, 838, Article No. 160. https://doi.org/10.3847/1538-4357/aa674b
Wong, K.C., et al. (2017) Monthly Notices of the Royal Astronomical Society, 465, 4895-4913. https://doi.org/10.1093/mnras/stw3077
Zhang, B.R. (2017) Monthly Notices of the Royal Astronomical Society, 471, 2254-2285. https://doi.org/10.1093/mnras/stx1600
Gao, F., et al. (2016) The Astrophysical Journal, 817, Article No. 128. https://doi.org/10.3847/0004-637X/817/2/128
Ichiki, K., Yoo, C.-M. and Oguri, M. (2016) Physical Review D, 93, Article ID: 023529. https://doi.org/10.1103/PhysRevD.93.023529
Ludović, V.V., D’Agostino, R. and Vittorio, N. (2016) Astronomy and Astrophysics, 595, Article No. A109. https://doi.org/10.1051/0004-6361/201628217
Moresco, M., et al. (2016) Journal of Cosmology and Astroparticle Physics, 5, Article No. 014. https://doi.org/10.1088/1475-7516/2016/05/014
Riess, A.G., et al. (2016) The Astrophysical Journal, 826, Article No. 56. https://doi.org/10.3847/0004-637X/826/1/56
Tully, R.B., Courtois, H.M. and Sorce, J.G. (2016) The Astronomical Journal, 152, Article No. 50. https://doi.org/10.3847/0004-6256/152/2/50
Cheng, C. and Huang, Q.G. (2015) Science China Physics, Mechanics & Astronomy, 58, Article No. 599801. https://doi.org/10.1007/s11433-015-5684-5
Cuesta, A.J., Verde, L., Riess, A. and Jimenez, R. (2015) Monthly Notices of the Royal Astronomical Society, 448, 3463-3471. https://doi.org/10.1093/mnras/stv261
Jang, I.S. and Lee, M.G. (2015) The Astrophysical Journal, 807, Article No. 133. https://doi.org/10.1088/0004-637X/807/2/133
Kumar, S.R., Stalin, C.S. and Prabhu, T.P. (2015) Astronomy and Astrophysics, 580, Article No. A38. https://doi.org/10.1051/0004-6361/201423977
Kuo, C.Y., Braatz, J.A., Lo, K.Y., Reid, M.J., Suyu, S.H., Pesce, D.W., Condon, J.J., Henkel, C. and Impellizzeri, C.M.V. (2015) The Astrophysical Journal, 800, Article No. 26. https://doi.org/10.1088/0004-637X/800/1/26
Rigault, M. and Schombert, J.M. (2015) The Astrophysical Journal, 802, Article No. 18. https://doi.org/10.1088/0004-637X/802/1/18
Ben-Dayan, I., Durrer, R., Marozzi, G. and Schwarz, D.J. (2014) Physical Review Letters, 112, Article ID: 221301. https://doi.org/10.1103/PhysRevLett.112.221301
Bennett, C.L., et al. (2014) The Astrophysical Journal, 794, Article No. 135. https://doi.org/10.1088/0004-637X/794/2/135
Busti, V.C., Clarkson, C. and Seikel, M. (2014) Proceedings of the International Astronomical Union, 10, 25-27. https://doi.org/10.1017/S1743921314013751
Efstathiou, G. (2014) Monthly Notices of the Royal Astronomical Society, 440, 1138-1152. https://doi.org/10.1093/mnras/stu278
Lima, J.A.S. and Cunha, J.V. (2014) The Astrophysical Journal Letters, 781, Article No. L38. https://doi.org/10.1088/2041-8205/781/2/L38
Bennett, C.L., et al. (2013) The Astrophysical Journal, 208, Article No. 20. https://doi.org/10.1088/0067-0049/208/2/20
Braatz, J., et al. (2013) Proceedings of the International Astronomical Union, 8, 255-261. https://doi.org/10.1017/S1743921312021515
Farooq, O. and Rathra, B. (2013) The Astrophysical Journal Letters, 766, Article No. L7. https://doi.org/10.1088/2041-8205/766/1/L7
Hinshaw, G., et al. (2013) The Astrophysical Journal Supplement Series, 208, Article No. 19. https://doi.org/10.1088/0067-0049/208/2/19
Humphreys, E.M.L., Reid, M.J., Moran, J.M., Greenhill, L.J. and Argon, A.L. (2013) The Astrophysical Journal, 775, Article No. 13. https://doi.org/10.1088/0004-637X/775/1/13
Kuo, C.Y., Braatz, J.A., Reid, M.J., Lo, K.Y., Condon, J.J., Impellizzeri, C.M.V. and Henkel, C. (2013) The Astrophysical Journal, 767, Article No. 155. https://doi.org/10.1088/0004-637X/767/2/155
Pietrzyński, G., et al. (2013) Nature, 495, 76-79. https://doi.org/10.1038/nature11878
Reid, M.J., et al. (2013) The Astrophysical Journal, 767, Article No. 154. https://doi.org/10.1088/0004-637X/767/2/154
Salvatelli, V., Marchini, A., Lopez-Honorez, L. and Mena, O. (2013) Physical Review D, 88, Article ID: 023531. https://doi.org/10.1103/PhysRevD.88.023531
Scowcroft, V., et al. (2013) Proceedings of the International Astronomical Union, 8, 274-281. https://doi.org/10.1017/S1743921312021540
Sereno, M. and Paraficz, D. (2013) Monthly Notices of the Royal Astronomical Society, 437, 600-605. https://doi.org/10.1093/mnras/stt1938
Suyu, S.H., et al. (2013) The Astrophysical Journal, 766, Article No. 70. https://doi.org/10.1088/0004-637X/766/2/70
Tully, R.B., et al. (2013) The Astronomical Journal, 146, Article No. 86. https://doi.org/10.1088/0004-6256/146/4/86
Xia, J.-Q., Li, H. and Zhang, X. (2013) Physical Review D, 88, Article ID: 063501. https://doi.org/10.1103/PhysRevD.88.063501
Calabrese, E., Archidiacono, M., Melchiorri, A. and Ratra, B. (2012) Physical Review D, 86, Article ID: 043520. https://doi.org/10.1103/PhysRevD.86.043520
Chávez, R., et al. (2012) Monthly Notices of the Royal Astronomical Society, 425, L56-L60. https://doi.org/10.1111/j.1745-3933.2012.01299.x
Colless, M., Beutler, F. and Blake, C. (2012) Proceedings of the International Astronomical Union, 8, 319-322. https://doi.org/10.1017/S1743921312021618
Freedman, W.L., et al. (2012) The Astrophysical Journal, 758, Article No. 24. https://doi.org/10.1088/0004-637X/758/1/24
Del Pozzo, W. (2012) Physical Review D, 86, Article ID: 043011. https://doi.org/10.1103/PhysRevD.86.043011
Riess, A.G., Fliri, J. and Valls-Gabaud, D. (2012) The Astrophysical Journal, 745, Article No. 156. https://doi.org/10.1088/0004-637X/745/2/156
Wang, M. (2012) AIP Conference Proceedings, 1441, 503-505. https://doi.org/10.1063/1.3700599
Chen, G. and Ratra, B. (2011) Publications of the Astronomical Society of the Pacific, 123, Article No. 1127. https://doi.org/10.1086/662131
Beutler, F., et al. (2011) Monthly Notices of the Royal Astronomical Society, 416, 3017-3032. https://doi.org/10.1111/j.1365-2966.2011.19250.x
Jarosik, N., et al. (2011) The Astrophysical Journal Supplement Series, 192, Article No. 14. https://doi.org/10.1088/0067-0049/192/2/14
Riess, A.G., et al. (2011) The Astrophysical Journal, 730, Article No. 119. https://doi.org/10.1088/0004-637X/730/2/119
Freedman, W.L. and Madore, B.F. (2010) Annual Review of Astronomy and Astrophysics, 48, 673-710. https://doi.org/10.1146/annurev-astro-082708-101829
Paraficz, D. and Hjorth, J. (2010) The Astrophysical Journal, 712, 1378-1384. https://doi.org/10.1088/0004-637X/712/2/1378
Suyu, S.H., et al. (2010) The Astrophysical Journal, 711, 201-221. https://doi.org/10.1088/0004-637X/711/1/201
Hinshaw, G., et al. (2009) The Astrophysical Journal Supplement Series, 180, 225-245. https://doi.org/10.1088/0067-0049/180/2/225
Komatsu, et al. (2009) The Astrophysical Journal Supplement Series, 180, 330-376. https://doi.org/10.1088/0067-0049/180/2/330
Riess, A.G., et al. (2009) The Astrophysical Journal, 699, 539-563. https://doi.org/10.1088/0004-637X/699/1/539
Russell, D.G. (2009) Journal of Astrophysics and Astronomy, 30, 93-118. https://doi.org/10.1007/s12036-009-0006-9
Leith, B.M., Ng, S.C.C. and Wiltshir, D.L. (2008) The Astrophysical Journal, 672, L91-L94. https://doi.org/10.1086/527034
Oguri, M. (2007) The Astrophysical Journal, 660, 1-15. https://doi.org/10.1086/513093
Spergel, D.N., et al. (2007) The Astrophysical Journal Supplement Series, 170, 377-408. https://doi.org/10.1086/513700
Bonamente, M., Joy, M.K., La Roque, S.J. and Carlstrom, J.E. (2006) The Astrophysical Journal, 647, 25-54. https://doi.org/10.1086/505291
Hütsi, G. (2006) Cosmic Sound: Measuring the Universe with Baryonic Acoustic Oscillations. Dissertation, Ludwig Maximilian University of Munich, München, 1-148, Not Published. (uni-muenchen.de)
Ngeow, C. and Kanbur, S.M. (2006) The Astrophysical Journal, 642, L29-L32. https://doi.org/10.1086/504478
Sandage, A., et al. (2006) The Astrophysical Journal, 653, 843-860. https://doi.org/10.1086/508853
Wang, X., Wang, L., Pain, R., Zhou, X. and Li, Z. (2006) The Astrophysical Journal, 645, 488-505. https://doi.org/10.1086/504312
Hamuy, M. (2005) The Standard Candle Method for Type II Supernovae and the Hubble Constan. In: Marcaide, J.M and Weiler, K.W., Eds., Cosmic Explosions, Vol. 99, Springer, Berlin, Heidelberg, 535-541. https://doi.org/10.1007/3-540-26633-X_71
Magain, P. (2005) Time Delay in Gravitational Lenses: An Alternative Route to the Hubble Constant. Proceedings of ASP Conference Series, Vol. 335, Brussels, 19-22 July 2004, 207-214.
Olivares, G., Atrio-Barandela, F. and Pavón, D. (2005) Physical Review D, 71, Article ID: 063523. https://doi.org/10.1103/PhysRevD.71.063523
Riess, A.G. (2005) The Astrophysical Journal, 627, 579-607. https://doi.org/10.1086/430497
Schmidt, R.W., Allen, S.W. and Fabian, A.C. (2004) Monthly Notices of the Royal Astronomical Society, 352, 1413-1420. https://doi.org/10.1111/j.1365-2966.2004.08032.x
Stritzinger, M. and Leibundgut, B. (2004) Astronomy & Astrophysics, 431, 423-431. https://doi.org/10.1051/0004-6361:20041630
Udomprasert, P.S., Mason, B.S., Readhead, A.C.S. and Pearson, T.J. (2004) The Astrophysical Journal, 615, 63-81. https://doi.org/10.1086/423946
Boffi, F.R. and Riess, A.G. (2003) The Type Ia Supernova 1998aq and the Hubble Constant. ASP Conference Proceedings, Vol. 303, La Palma, 27-31 May 2002, 101-104.
Dumin, Y.V. (2003) Advances in Space Research, 31, 2461-2466. https://doi.org/10.1016/S0273-1177(03)00533-7
Jimenez, R., Verde, L., Treu, T. and Stern, D. (2003) The Astrophysical Journal, 593, 622-629. https://doi.org/10.1086/376595
Koopmans, L.V.E., Treu, T., Fassnacht, C.D., Blandford, R.D. and Surpi, G. (2003) The Astrophysical Journal, 599, 70-85. https://doi.org/10.1086/379226
Mei, S., Scodeggio, M., Silva, D.R. and Quinn, P.J. (2003) Astronomy and Astrophysics, 399, 441-448. https://doi.org/10.1051/0004-6361:20021800
Saunders, R., et al. (2003) Monthly Notices of the Royal Astronomical Society, 341, 937-940. https://doi.org/10.1046/j.1365-8711.2003.06467.x
Spergel, D.N., et al. (2003) The Astrophysical Journal Supplement Series, 148, 175-174. https://doi.org/10.1086/377226
Fassnacht, C.D., Xanthopoulos, E., Koopmans, L.V.E. and Rusin, D. (2002) The Astrophysical Journal, 581, 823-835. https://doi.org/10.1086/344368
Freedman, W.L. (2002) The Status of the Hubble Constant. In: Metcalfe, N. and Shanks, T., Eds., A New Era in Cosmology. ASP Conference Proceedings, Vol. 283, Astronomical Society of the Pacific, San Francisco, 249-257.
Grainge, K., et al. (2002) Monthly Notices of the Royal Astronomical Society, 333, 318-326. https://doi.org/10.1046/j.1365-8711.2002.05429.x
Kochanek, C.S. (2002) Gravitational Lenses, the Distance Ladder and the Hubble Constant: A New Dark Matter Problem. arXiv:astro-ph/0204043v1.
Tikhonov, N.A. and Galazoutdinova, O.A. (2002) Astrophysics, 45, 253-266. https://doi.org/10.1023/A:1020168130980
Treu, T. and Koopmans, L.V.E. (2002) Monthly Notices of the Royal Astronomical Society, 337, L6-L10. https://doi.org/10.1046/j.1365-8711.2002.06107.x
Freedman, W.L., et al. (2001) The Astrophysical Journal, 553, 47-72. https://doi.org/10.1086/320638
Itoh, N. (2001) The Astronomical Herald, 94, 214-220.
Jensen, J.B., et al. (2001) The Astrophysical Journal, 550, 503-521. https://doi.org/10.1086/319819
Koopmans, L.V.E. and The CLASS Collaboration (2001) Publication of Astronomical Society of Australia, 18, 179-181. https://doi.org/10.1071/AS01024
Liu, M.C. and Graham, J.R. (2001) The Astrophysical Journal, 557, L31-L34. https://doi.org/10.1086/323174
Mason, B.S., Myers, S.T. and Readhead, A.C.S. (2001) The Astrophysical Journal, 555, L11-L15. https://doi.org/10.1086/321737
Mei, S., Quinn, P.J. and Silva, D.R. (2001) Astronomy and Astrophysics, 371, 779-794. https://doi.org/10.1051/0004-6361:20010427
Tonry, J.L. and High-Z Supernova Search Team (2001) Type Ia Supernovae, the Hubble Constant, the Cosmological Constant and the Age of the Universe. In: von Hippel, T., Simpson, C. and Manset, N., Eds., Astrophysical Ages and Times Scales, ASP Conference Series, Vol. 245, San Francisc, Astronomical Society of the Pacific, 593-601.
Willick, J.A. and Batra, P. (2001) The Astrophysical Journal, 548, 564-584. https://doi.org/10.1086/319005
Wang, X.-F., Chen, L. and Li, Z.-W. (2001) Chinese Physics Letters, 18, 154-156. https://doi.org/10.1088/0256-307X/18/1/354
Ferrarese, L., et al. (2000) The Astrophysical Journal, 529, 745-767. https://doi.org/10.1086/308309
Gibson, B.K., et al. (2000) The Astrophysical Journal, 529, 723-744. https://doi.org/10.1086/308306
Mould, J.R., et al. (2000) The Astrophysical Journal, 529, 786-794. https://doi.org/10.1086/308304
Sakai, S. (2000) The Astrophysical Journal, 529, 698-722. https://doi.org/10.1086/308305
Biggs, A.D., Browne, I.W.A., Helbig, P., Koopmans, L.V.E., Wilkinson, P.N. and Perley, R.A. (1999) Monthly Notices of the Royal Astronomical Society, 304, 349-358. https://doi.org/10.1046/j.1365-8711.1999.02309.x
Chae, K.-H. (1999) The Astrophysical Journal, 524, 582-590. https://doi.org/10.1086/307842
Collier, S., Horne, K., Wanders, I. and Peterson, B.M. (1999) Monthly Notices of the Royal Astronomical Society, 302, L24-L28. https://doi.org/10.1046/j.1365-8711.1999.02250.x
Freedman, W.L. and Feng, L.L. (1999) Proceedings of the National Academy of Sciences of the United States of America, 96, 11063-11064. https://doi.org/10.1073/pnas.96.20.11063
Jha, S., et al. (1999) The Astrophysical Journal Supplement Series, 125, 73-97. https://doi.org/10.1086/313275
Mason, B.S. (1999) An Improved Measurement of the Hubble Constant Using the Sunyaev-Zeldovich Effect. Dissertations, University of Pennsylvania, Philadelphia, UMI Number: AAI9953569. https://repository.upenn.edu/dissertations/AAI9953569
Mazumdar, A. and Narasimba, D. (1999) Bulletin of the Astronomical Society of India, 27, 267.
Tanvir, N.R. (1999) Monthly Notices of the Royal Astronomical Society, 310, 175-188. https://doi.org/10.1046/j.1365-8711.1999.02954.x
Tripp, R. and Branch, D. (1999) The Astrophysical Journal, 525, 209-214. https://doi.org/10.1086/307883
Branch, D. (1998) Annual Review of Astronomy and Astrophysics, 36, 17-55. https://doi.org/10.1146/annurev.astro.36.1.17
Goicoechea, L.J., Mediavilla, E., Oscoz, A., Serra, M. and Buttrago, J. (1998) Astrophysics and Space Science, 261, 341-344. https://doi.org/10.1023/A:1002042026159
Harris, W.E., et al. (1998) Nature, 395, 45-47. https://doi.org/10.1038/25673
Hughes, J.P. and Birkinshaw, M. (1998) The Astrophysical Journal, 501, 1-14. https://doi.org/10.1086/305788
Lauer, T.R., Tonry, J.L., Postman, M., Ajhar, E.A. and Holtzman, J.A. (1998) The Astrophysical Journal, 499, 577-588. https://doi.org/10.1086/305671
Riess, A.G., et al. (1998) The Astronomical Journal, 116, 1009-1038. https://doi.org/10.1086/300499
Tamman, G.A. and Labhardt, L. (1998) A Forty-Year Search for the Hubble Constant. In: Riffert, H., Ruder, H., Nollert, H.P. and Hehl, F.W., Eds., Relativistic Astrophysics, Vieweg+Teubner Verlag, Wiesbaden, 238-261. https://doi.org/10.1007/978-3-663-11294-5_15
Tripp, R. (1998) Astronomy and Astrophysics, 331, 815-820.
Giovanelli, R. (1997) The Extragalactic Distance Scale. Proceedings of the ST ScI May Symposium, Baltimore, 7-10 May 1996, 113.
Gregg, M.D. (1997) New Astronomy, 1, 363-371. https://doi.org/10.1016/S1384-1076(97)00005-5
Hjorth, J. and Tanvir, N.R. (1997) The Astrophysical Journal, 482, 68-74. https://doi.org/10.1086/304124
Holzapfel, W.L., et al. (1997) The Astrophysical Journal, 480, 449-465. https://doi.org/10.1086/303979
Hoyle, F., Burhidge, G. and Narlikar, J.V. (1997) Monthly Notices of the Royal Astronomical Society, 286, 173-182. https://doi.org/10.1093/mnras/286.1.173
Schechter, P.L. (1997) The Astrophysical Journal, 475, L85-L88. https://doi.org/10.1086/310478
Sciama, D.W. (1997) Monthly Notices of the Royal Astronomical Society, 289, 945-947. https://doi.org/10.1093/mnras/289.4.945
Tonry, J.L., Blakeslee, J.P., Ajhar, E.A. and Dressler, A. (1997) The Astrophysical Journal, 475, 399-413. https://doi.org/10.1086/303576
Amendola, L. (1996) Astronomy and Astrophysics, 312, 353-356.
Biesiada, M. (1996) Monthly Notices of the Royal Astronomical Society, 283, 997-982. https://doi.org/10.1093/mnras/283.3.977
Forbes, D.A., Brodie, J.P. and Huchra, J. (1996) Astronomical Journal, 112, 2448-2460. https://doi.org/10.1086/118194
Kobyashi, S., Sasaki, S. and Suto, Y. (1996) Publications of the Astronomical Society of Japan, 48, L107-L111. https://doi.org/10.1093/pasj/48.6.L107
Mallik, D.C.V. (1996) Current Science, 71, 547-552. https://www.jstor.org/stable/24098091
Schaefer, B.E. (1996) The Astrophysical Journal, 460, L19-L23. https://doi.org/10.1086/309963
Grogin, N.A. and Narayan, R. (1995) The Astrophysical Journal, 473, 570-571. https://doi.org/10.1086/178171
Herbig, T., Lawrence, C.R., Readhead, A.C.S. and Gulkis, S. (1995) The Astrophysical Journal, 449, L5-L8. https://doi.org/10.1086/309616
Holzapfel, W.L., et al. (1995) Bulletin of the American Astronomical Society, 27, 1413.
Jones, M. (1995) Astrophysical Letters and Communications, 32, 347-353.
Kennicutt Jr., R.C., Freedman, W.L. and Mould, J.R. (1995) The Astrophysical Journal, 110, 1476-1491. https://doi.org/10.1086/117621
Mould, J., et al. (1995) The Astrophysical Journal, 449, 413-421.
Nakamura, T.T. and Suto, Y. (1995) Astrophysical Journal Letters, 447, L65-L68. https://doi.org/10.1086/309580
Raphaeli, Y. (1995) Annual Review of Astronomy and Astrophysics, 33, 541-579. https://doi.org/10.1146/annurev.aa.33.090195.002545
Scheafer, B.E. (1995) The Astrophysical Journal, 447, L13-L16.
Whitmore, B.C. and Schweizer, F. (1995) The Astronomical Journal, 210, 960-980 and 1411-1416 (For Graphics).
Birkinshaw, M. and Hughes, J.P. (1994) The Astrophysical Journal, 420, 33-43. https://doi.org/10.1086/173540
Freedman, W., et al. (1994) Nature, 371, 757-762. https://doi.org/10.1038/371757a0
Lu, N.Y., Salpeter, E.E. and Hoffman, G.L. (1994) The Astrophysical Journal, 426, 473-485. https://doi.org/10.1086/174083
Schmidt, B.P., et al. (1994) Astrophysical Journal, 432, 42-48.
Tully, R.B. (1993) Proceedings of the National Academy of Sciences of the United States of America, 90, 4806-4810. https://doi.org/10.1073/pnas.90.11.4806
Duemmler, R. (1992) Astronomy and Astrophysics, 264, 1-10.
Lauer, T.D. and Postman, M. (1992) The Astrophysical Journal, 400, L47. https://doi.org/10.1086/186646
Leibundgut, B. and Pinto, P. (1992) The Astrophysical Journal, 401, 49-59. https://doi.org/10.1086/172037
Birkinshaw, M., Hughes, J.P. and Arnaud, K.A. (1991) The Astrophysical Journal, 379, 466-481. https://doi.org/10.1086/170522