HPS 2844 Modern Cosmology Fall 2025

Schedule

Back to course document list.

Week Date Topic/Reading Presented by


First Week
1 Aug. 27 Introduction. Review of schedule topics. Sources. Selection of presenters. Norton


Newtonian cosmology
2 Sep. 3 Seeliger's paradox

Norton, John D. "The Cosmological Woes of Newtonian Gravitation Theory," in H. Goenner, J. Renn, J. Ritter and T. Sauer, eds., The Expanding Worlds of General Relativity: Einstein Studies, volume 7, Boston: Birkhäuser, pp. 271-322.

Background: Isaac Newton, Four Letters from Sir Isaac Newton to Dr. Bentley. London: Dodsley, 1756.
Norton

slides
Sep. 3 Relativity of Acceleration in Newtonian Cosmology.

Milne, E. A. "A Newtonian Expanding Universe," The Quarterly Journal of Mathematics, Volume os-5, Issue 1, 1934, pp. 64–72.

Norton, John D. "The Force of Newtonian Cosmology: Acceleration is Relative" Philosophy of Science, 62, 1995, pp.511-22. https://sites.pitt.edu/~jdnorton/homepage/cv.html#L1999

Background:
Malament, David (1995) "Is Newtonian Cosmology Really Inconsistent?" Philosophy of Science 62, pp.489-510.
Norton
slides
3 Sep. 10 Kant's Newtonian cosmology

Kant, Immanuel Universal Natural History and Theory of the Heavens (1755) in W. Hastie, ed. and trans., Kant's Cosmogony. Glasgow: James Maclehose, 1900. Preface, pp. 17-37 Survey, pp. 38-43 and any further parts that look tempting.

Page by page view of original German edition of 1755 https://www.deutschestextarchiv.de/book/show/kant_naturgeschichte_1755
J. Mamana


Einstein's and de Sitter's Universes
Sep. 10 The Machian Background

Einstein, Albert "§2. The Need for an Extension of the Postulate of Relativity" pp. 112-115 in "The Foundation of the General Theory of Relativity."

Einstein, Albert "Considerations on the Universe as a Whole" Part III in Relativity: The Special and the General Theory New York: Henry Holt, 1921.

Einstein, Albert: Brief recapitulation of the Machian inspiration in his 1946 Autobiographical Notes
Tzvetan Moev
4 Sep. 17 Einstein, Albert "Cosmological Considerations on the General Theory of Relativity," Sitzungsberichte der Preussischen Akad. d. Wissenschaften, 1917.

Einstein, Albert pp. 108-119 in Meaning of Relativity. Princeton: Princeton University Press, 1923.
J. Mamana
Sep. 17 Background
From Einstein for Everyone:
Einstein abandons lambda
De Sitter Spacetime, Space in de Sitter Spacetime
Penrose on de Sitter Spacetime

W. de Sitter, "On the relativity of inertia. Remarks concerning Einstein's latest hypothesis," in: Royal Netherlands Academy of Arts and Sciences, Proceedings, 19 II, 1917, Amsterdam, pp. 1217-1225.
Norton

slides
Sep. 17 Einstein against Singularities
Norton, John D. ""Einstein against Singularities: Analysis versus Geometry," Philosophy of Physics 2(1): 13, 1–73.
Norton

slides


The Expanding Universe
5 Sep. 24 Edwin Hubble, "A Relation between Distance and Radial Velocity Among Extra-Galactic Nebulae," Proceedings of the National Academy of Sciences, 15, Issue 3, pp. 168-173. 1929

Background: My investigation of the tangle of relations of evidential support in Hubble's paper:
Ch. 7 "The Recession of the Nebulae" in John D. Norton, The Large-Scale Structure of Inductive Inference. BSPSopen, 2024.
Afra Akram
Sep. 24 Lemaitre's expanding universe cosmology and his primeval atom

Lemaître, Georges "The beginning of the world from the point of view of quantum theory" Nature 127, p. 706 (1931);
and, for a general survey of Lemaitre's contribution to cosmology
Lemaître, Georges "The beginning of the world from the point of view of quantum theory" Editorial Note by Jean-Pierre Luminet, General Relativity and Gravitation (2011) 43, pp. 2911–2928.
J. Mamana
6 Oct. 1 Eddington, Arthur S. Ch. 4 "The Universe and the Atom" in The Expanding Universe. Cambridge: Cambridge University Press, 1933.

For Eddington's "Philosophically the notion of a beginning of the present order of Nature is repugnant to me." See Eddington, Arthur S. "The End of the World (From the Standpoint of Mathematical Physics)" The Mathematical Gazette, Vol. 15, No. 212 (Mar., 1931), pp. 316-324.
Tzvetan Moev
Oct. 1 Milne's kinematical relativity

"Kinematical Relativity" Ch. XI in Hermann Bondi Cosmology 2nd ed. Cambridge: Cambridge University. Press, 1968.
For a revealing, short statement by Milne of the difference between kinematical relativity and standard Friedmann-Lemaître cosmology, see Section 1 only of Milne, E. A. "A Newtonian Expanding Universe," The Quarterly Journal of Mathematics, Volume os-5, Issue 1, 1934, pp. 64–72.
Notes

Background only:
Milne, E. A. Relativity, Gravitation and World-Structure Oxford: Clarendon Press, 1935.
(Origin of centrality of "cosmological principle.")
Alex Eira
Oct. 1 A useful survey of early 1930's cosmology:
Robertson, H. P. "Relativistic Cosmology," Reviews of Modern Physics, 5(1933), pp.62-89.
**********


Steady State Cosmology
7 Oct. 8 Bondi, Hermann and Gold, Thomas, "The Steady-State Theory of the Expanding Universe," Monthly Notices of the Royal Astronomical Society, 108, 1948, p.252-70. Marta Bielinska
Oct. 8 Philosophical problems of cosmology and the origin of British Society for Philosophy of Science

Dingle, Herbert "Science and Modern Cosmology," Presidential Address, Monthly Notices of the Royal Astronomical Society, 113 (1953), pp. 393-407.
Whitrow, G. J. and Bondi, Hermann "Is Physical Cosmology a Science? A Discussion," British Journal for the Philosophy of Science 4 (1954), pp. 271-283
Kabir Bakshi


Cosmic Background Radiation/Cosmic Microwave Radiation
8 Oct. 15 Discovery of the cosmic background radiation

Penzias, A. A. and Wilson, R. W. "A Measurement of Excess Antenna Temperature at 4080Mc/s" Astrophysical Journal, vol. 142, pp. 419-421.
Dicke, R. H.; Peebles, P. J. E.; Roll, P. G.; Wilkinson, D. T., "Cosmic Back-Body Radiation," Astrophysical Journal, vol. 142, pp. 414-419.
Kabir Bakshi
Oct. 15 Physical cosmology in the 1960s

"Origins of the cosmology of the 1960s" Chapter 3 in Peebles, P. J. E. et al. Finding the Big Bang Cambridge University Press, 2009.
Jordan Grujic
9 Oct. 22 Development of the cosmic microwave background

Historical aspects
Introduction, Ch.10. and Ch. 12 in Perovic, Slobodan and Cirkovic, Milan, The Cosmic Microwave Background: Historical and Philosophical Lessons Cambridge University Press, 2024.

Optional, long, background survey: Partridge, R. Bruce, "The cosmic microwave background: from discovery to precision cosmology," in The Oxford Handbook of the History of Modern Cosmology Oxford, 2019.
Mystery guest presenter
Oct. 22 Philosophical aspects
Ch. 25, Ch. 26 and Ch. 27 in Perovic, Slobodan and Cirkovic, Milan, The Cosmic Microwave Background: Historical and Philosophical Lessons Cambridge University Press, 2024.
Mystery guest presenter


Λ-CDM Standard Model
""Λ cold dark matter"

10 Oct. 29 Background: how lambda changed cosmology
"Cosmic Dynamics with a non-Zero Cosmological Constant Λ" in Einstein for Everyone
**********
Oct. 29 The return of λ

Riess, Adam et al. "Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant," The Astronomical Journal 116:1009-1038, 1998
Tzvetan Moev
Oct. 29 Csaba Balazs, Torsten Bringmann, Felix Kahlhoefer and Martin White, "A Primer on Dark Matter" arXiv:2411.05062v1

What is missing in the primer is anything on MOND, which repeatedly attracts the attention of philosophers of science. E.g. Duerr, Patrick M. and Wolf, William "Methodological reflections on the MOND/dark matter debate," Studies in History and Philosophy of Science 101 (2023), pp.1–23
Afra Akram


Inflationary Cosmology
11 Nov. 5 "The Inflationary Universe," Ch. 13 in Andrew Liddle, An Introduction to Modern Cosmology. 2nd ed. Wiley, 2003.
(Similar material, with more detail, in Andrew Liddle, "An Introduction to Cosmological Inflation," https://arxiv.org/abs/astro-ph/9901124v1)

Background: Alan Guth, "Inflationary Universe: A Possible Solution to the Horizon and Flatness Problem," Physical Review, 23 (1981), pp. 347-56.
Marta Bielinska
Nov. 5 Hollands, Stefan and Robert Wald, "An Alternative to Inflation," General Relativity and Gravitation, 34 (2002), pp. 2043-55.

Anna Ijjas, Paul J. Steinhardt and Abraham Loeb, "Pop Goes the Universe," Scientific American February 2017, pp. 32-39
Jordan Grujic


Eternal Inflation and Multiverses
Nov. 12 Term paper proposal submitted in email prior to seminar, by 2pm.
12 Nov. 12 Alan H. Guth, "Inflation and eternal inflation," Physics Reports. 333-334(2000), pp. 555-574
Alan H. Guth, "Eternal inflation and its implications," J. Phys. A: Math. Theor. 40,(2007),pp. 6811–6826.
Consider the sections on eternal inflation. Similar content in both papers.
Jordan Grujic
Nov. 12 John D. Norton, "Eternal Inflation: When Probabilities Fail" Synthese 198 (Suppl 16) (2021), pp. S3853-3875. Norton

slides


Problems for the Standard Model
13 Nov. 19 The Hubble Tension

Verde, Licia; Nils Schöneberg and Héctor Gil-Marín, "A Tale of Many H0" Annual Review of Astronomy and Astrophysics, 62(2024), pp. 287–331.
Kabir Bakshi
Nov. 19 DES and the non-constancy of the cosmological constant

Dark Energy Survey, "A new study reveals potential inconsistencies in the current standard cosmological paradigm" Press Release, March 19, 2025.

The paper with lots of technical details:
Dark Energy Survey, "Implications for cosmological expansion models from the final DES Baryon Acoustic Oscillation and Supernova data" https://arxiv.org/pdf/2503.06712
Afra Akram
Nov. 26 Spring Break


Philosophical Problems of Cosmology
14 Dec. 3 Pedro G. Ferreira, William J. Wolf, James Read, "The Spectre of Underdetermination in Modern Cosmology" https://philsci-archive.pitt.edu/25931/ Mystery guest presenter
Dec. 3 George F R Ellis., "Issues in the Philosophy of Cosmology" https://arxiv.org/pdf/astro-ph/0602280v2
(The pdf has an arXiv date stamp of 29Mar 2006, but the doc itself is internally dated November 26, 2024. None of the references are dated after 2006.)
EVERYONE: Pick a thesis from Ellis' "Issues in the Philosophy of Cosmology" and be prepared to discuss it.
ALL
Dec. 12 Term paper submitted in email by 5pm.