Johannes Kepler โ Elliptical orbits (first law), equal areas in equal times (second law), harmonic law (third law, Pยฒ โ aยณ); Rudolphine Tables
Galileo Galilei โ Telescope observations (1610): moons of Jupiter, phases of Venus (support heliocentrism), sunspots, lunar mountains; conflict with Church
Giordano Bruno โ Infinite universe, multiple worlds, burned at stake (1600)
Renรฉ Descartes โ Vortex theory (mechanical universe), plenum, no vacuum
5. Newtonian Cosmology (1687 โ 1900)
Isaac Newton โ Principia Mathematica (1687): universal gravitation, laws of motion, inertial frames; infinite static universe (but gravitational instability problem โ Olbersโ paradox)
Olbersโ paradox โ Why is night sky dark if infinite static universe? (Heinrich Olbers, 1823). Resolution: finite age or expansion
Immanuel Kant โ Nebular hypothesis (origin of solar system), โisland universesโ (external galaxies)
William Herschel โ Star gauging (mapping Milky Way), discovery of Uranus (1781), infrared radiation
John Herschel โ Southern sky survey, coined โphotographyโ
Vesto Slipher โ Spectra of spiral nebulae showed redshifts (most moving away), first hint of expansion (1912โ1925)
Albert Einstein โ General Relativity (1915): gravity as spacetime curvature; field equations (G_ฮผฮฝ = 8ฯG T_ฮผฮฝ)
Einsteinโs cosmological constant (ฮ, 1917) โ Added to allow static universe (later called his โgreatest blunderโ)
Willem de Sitter โ De Sitter universe (empty, expanding) solution
Alexander Friedmann (1922โ1924) โ Friedmann equations (homogeneous, isotropic expanding/contracting universes), no cosmological constant needed
Georges Lemaรฎtre (1927) โ โPrimeval atomโ hypothesis (Big Bang), derived Hubble law, proposed expanding universe from initial singularity
Edwin Hubble (1929) โ Hubbleโs law (v = Hโ ร d), observational proof of expansion using Cepheids & redshifts
Howard Robertson & Arthur Walker โ FLRW metric (1935), formalization of expanding spacetime
Volume 2: The Hot Big Bang Model (1940 โ 1980)
7. Theoretical Foundations
Big Bang singularities โ Friedmann models with initial singularity (t=0), infinite density/temperature
Gamow, Alpher, Herman โ Prediction of Cosmic Microwave Background (CMB) as relic radiation from hot dense early phase (1948)
AlpherโBetheโGamow paper (ฮฑฮฒฮณ, 1948) โ Primordial nucleosynthesis (H, He, Li abundances)
Fred Hoyle, Hermann Bondi, Thomas Gold โ Steady State model (1948) โ continuous creation of matter, perfect cosmological principle (no beginning, no end)
Hoyleโs mockery โ Coined โBig Bangโ (on BBC radio, 1949), intended as derision
HoyleโNarlikar theory โ Modified steady state (1960s)
Robert Dicke, Jim Peebles โ Predicted CMB temperature ~10 K (1960s, independently of Gamow)
8. Observational Triumphs
Arno Penzias & Robert Wilson (1965) โ Accidentally discovered CMB (2.725 K, isotropic microwave noise), Nobel Prize 1978
Dicke, Peebles, Roll, Wilkinson โ Interpreted CMB as relic of hot Big Bang
SunyaevโZelโdovich effect (1969) โ CMB distortion by hot galaxy cluster gas
Primordial element abundances โ Observed โดHe (~24%), D, ยณHe, โทLi matched Big Bang nucleosynthesis (BBN), steady state failed
Quasars (discovered 1960s) โ Distant, highโredshift objects, inconsistent with steady state
Radio source counts โ Distant galaxies more numerous (evolution), favored Big Bang
Decline of Steady State (1970s) โ CMB + nucleosynthesis + quasar counts decisive
9. The First Three Minutes (Nucleosynthesis Era)
Temperature timeline โ t=1 sec (T ~10ยนโฐ K, neutrinos decouple), t=3 min (T ~10โน K, neutrons + protons โ โดHe), t=20 min (nucleosynthesis ends)
Baryonโtoโphoton ratio (ฮท) โ ~6 ร 10โปยนโฐ (CMB measurement)
Recombination (t~380,000 years, T~3000 K) โ Electrons + protons โ neutral hydrogen, universe becomes transparent to photons (CMB last scattering)
Decoupling โ Photons freeโstream, create CMB
Dark Ages (380,000 years to ~150 million years) โ No stars, neutral hydrogen (21 cm line potential probe, not yet detected as of 2026)
10. The CMB as a Precision Tool
Blackbody spectrum โ FIRAS on COBE (1990) โ perfect blackbody, temperature 2.725 K
COBE satellite (1989โ1993) โ Discovery of CMB anisotropies (tens of ยตK), John Mather & George Smoot (Nobel 2006)
WMAP (Wilkinson Microwave Anisotropy Probe, 2001โ2010) โ Highโresolution map, determined age (13.77 Gyr), baryon density (ฮฉb), dark matter (ฮฉ_cdm), dark energy (ฮฉฮ), curvature (ฮฉ_kโ0)
Planck satellite (2009โ2013, data to 2018) โ Most precise CMB temperature/polarization maps, refined cosmological parameters, tension in Hโ (Hubble constant) emerges (Planck ~67.4 vs. local ~73 km/s/Mpc)
CMB polarization โ Eโmodes (from density fluctuations), Bโmodes (primordial gravitational waves โ BICEP/Keck, not yet detected as of 2026; upper limits constrain inflation energy scale)
SunyaevโZelโdovich clusters โ Planck catalog of galaxy clusters
Volume 3: Components of the Universe
11. Ordinary Matter (Baryonic)
Protons, neutrons, electrons โ ~4.9% of total energy density (Planck 2018)
Weak lensing (Dark Energy Survey โ DES, Euclid, Roman)
Simplest model โ Cosmological constant (ฮ, Einsteinโs โblunderโ), ฮCDM model (Standard Model of Cosmology)
Equation of state โ w = p/ฯ (for ฮ, w = โ1 exactly)
Current constraints (2026) โ w = โ1.00 ยฑ 0.04 (Planck + DESI + SNe), consistent with ฮ
Alternatives โ Quintessence (dynamic scalar field, w > โ1), phantom (w < โ1), modified gravity (f(R), DGP)
Hubble tension โ Hโ from early universe (CMB, BAO) ~67.4 vs. late universe (Cepheids + SNe Ia) ~73 km/s/Mpc; significance ~5ฯ; possible new physics (early dark energy, modified gravity)
S8 tension โ Clustering amplitude (ฯโ) from CMB vs. weak lensing (~2โ3ฯ)
Cosmic web โ Voids, filaments, nodes (galaxy clusters), walls
Baryon Acoustic Oscillations (BAO) โ Sound waves in photonโbaryon plasma before recombination; imprinted at recombination scale (~150 Mpc); used as standard ruler
17. Galaxies, Clusters & Voids
First stars (Population III) โ Metalโfree, very massive (100โ1,000 M_sun), short lived, reionization sources
Reionization โ Epoch ~150 million to 1 billion years; neutral hydrogen โ ionized; probes: Lymanโฮฑ forest, 21 cm (future)
Galaxy formation โ Cooling, star formation, feedback (supernovae, AGN), quenching
Sloan Digital Sky Survey (SDSS) (2000โ2026) โ Millions of galaxies, spectra, BAO, APOGEE, eBOSS, DESI
Dark Energy Survey (DES) (2013โ2019) โ Weak lensing, clusters, SNe
Dark Energy Spectroscopic Instrument (DESI) (2021โ2026) โ 40M galaxies, most precise BAO
Euclid (ESA, launched 2023) โ Weak lensing + BAO, dark energy
Nancy Grace Roman Space Telescope (NASA, planned 2027) โ Wideโfield infrared
Rubin Observatory (LSST) (2025โ2035) โ Deep wideโfield imaging, time domain
Volume 5: Cosmic Timeline & Epochs
19. The Standard Cosmological Timeline (in seconds, years)
Time
Event
Redshift
Temperature
10โปโดยณ s
Planck epoch (quantum gravity regime)
โ
10ยณยฒ K
10โปยณโถ s
Inflation begins
โ
10ยฒโธ K
10โปยณยฒ s
Inflation ends, reheating
โ
10ยฒโท K
10โปยนยฒ s
Electroweak epoch (symmetry breaking)
โ
10ยนโต K
10โปโถ s
Quarkโgluon plasma โ hadrons
โ
10ยนยณ K
1 s
Neutrinos decouple, BBN starts
~10ยนโฐ
10ยนโฐ K
3 min
Primordial nucleosynthesis (H, He, Li)
~10โน
10โน K
50,000 yrs
Matterโradiation equality
~3400
~10โด K
380,000 yrs
Recombination, CMB last scattering
~1100
~3000 K
150 million yrs
First stars (Pop III), reionization begins
~20
~60 K
1 billion yrs
First galaxies, quasars
~6
~20 K
9.2 billion yrs
Solar system forms
~0.5
2.73 K
13.8 billion yrs
Present day
0
2.725 K
20. The Future of the Universe (ฮCDM prediction)
Accelerated expansion continues โ Dark energy dominates
Local group merger โ Milky Way + Andromeda (Milkomeda, ~4.5 Gyr)
End of star formation โ ~10ยนยฒ years (all gas exhausted)
Degenerate era โ White dwarfs, neutron stars, black holes (10ยนโด โ 10โดโฐ yrs)
Black hole evaporation โ Hawking radiation (10โถโท โ 10ยนโฐโฐ yrs)
Heat death (Big Freeze) โ Maximum entropy, no free energy (eternal expansion)
Alternate fates โ Big Crunch (if ฮฉ_ฮ negative, not our universe), Big Rip (if w < โ1, phantom energy, ruled out by data), Vacuum decay (false vacuum collapse)
Multiverse โ Types: Level I (infinite space), Level II (bubble universes from eternal inflation), Level III (quantum manyโworlds), Level IV (mathematical)
30. Tensions & Anomalies (2026 Status)
Hubble tension (5ฯ) โ Early vs. late Hโ; possible solutions: early dark energy, modified gravity, CMB lensing anomalies, local supervoid