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Cosmology

advtanmoy 07/04/2026 14 minutes read

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Sarvarthapedia (Core Areas)

Sarvarthapedia (Articles)

Cosmology, from ancient origin myths up to 2026

Volume 1: History of Cosmological Thought

1. Ancient & Mythological Cosmologies (Before 600 BCE)

  • Egyptian cosmology โ€“ Nu (primordial waters), Ra (sun god), Geb (earth) & Nut (sky)
  • Mesopotamian cosmology โ€“ Enuma Elish, flat earth with solid dome (firmament)
  • Vedic cosmology (India) โ€“ Cyclic universe (yugas), infinite time scales, Mount Meru as cosmic axis
  • Chinese cosmology โ€“ Celestial spheres, Yinโ€‘Yang, five elements, cosmic order (Tian)
  • Preโ€‘Socratic Greek โ€“ Thales (water as arche), Anaximander (apeiron, first map of cosmos), Anaximenes (air), Pythagoreans (harmony of spheres)

2. Classical Greek & Hellenistic Cosmology (600 BCE โ€“ 200 CE)

  • Pythagorean model โ€“ Central fire (not Sun), Earth as one of many spheres
  • Plato โ€“ Timaeus: demiurge creates ordered cosmos, spherical Earth at center
  • Aristotle โ€“ Geocentric model, concentric crystalline spheres (Moon, Sun, planets, fixed stars), prime mover, sublunary realm (change) vs. celestial realm (eternal, perfect circles)
  • Aristarchus of Samos โ€“ First known heliocentric model (c. 270 BCE), not accepted
  • Eratosthenes โ€“ Calculated Earthโ€™s circumference (within 10% error)
  • Hipparchus โ€“ Star catalog, precession of equinoxes, epicycles (to explain retrograde motion)
  • Ptolemy โ€“ Almagest (c. 150 CE): geocentric model with epicycles, deferents, equants, predicted planetary positions for 1,500 years

3. Medieval & Islamic Cosmology (500 โ€“ 1500 CE)

  • Islamic astronomers โ€“ Alโ€‘Battani (improved Ptolemy), Alโ€‘Biruni (Earthโ€™s rotation debated), Alโ€‘Tusi (Tusiโ€‘couple), Ibn alโ€‘Haytham (Alhazen, optics, celestial physics)
  • Maragha Revolution (13th century) โ€“ Nasir alโ€‘Din alโ€‘Tusi, Ibn alโ€‘Shatir: nonโ€‘Ptolemaic models without equants
  • European Scholasticism โ€“ Thomas Aquinas (Aristotle + theology), Danteโ€™s Divine Comedy (geocentric cosmos as moral order)
  • Nicolaus Copernicus (1473โ€“1543) โ€“ De revolutionibus orbium coelestium (heliocentric model, circular orbits still, published on deathbed)

4. The Copernican Revolution (1500 โ€“ 1700)

  • Tycho Brahe โ€“ Precise nakedโ€‘eye observations (supernova 1572, comet 1577), Tychonic system (geoโ€‘heliocentric hybrid)
  • Johannes Kepler โ€“ Elliptical orbits (first law), equal areas in equal times (second law), harmonic law (third law, Pยฒ โˆ 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), โ€œisland universesโ€ (external galaxies)
  • William Herschel โ€“ Star gauging (mapping Milky Way), discovery of Uranus (1781), infrared radiation
  • John Herschel โ€“ Southern sky survey, coined โ€œphotographyโ€
  • Augustin Cauchy & Poisson โ€“ Gravitational physics of infinite universe (paradoxes)
  • Ernst Mach โ€“ Machโ€™s principle (inertia from distant matter)

6. The Birth of Modern Cosmology (1900 โ€“ 1930)

  • Henrietta Swan Leavitt (1912) โ€“ Periodโ€‘luminosity relation for Cepheid variables (standard candles)
  • Harlow Shapley โ€“ Measured Milky Way size (1918), Sun not center, โ€œgreat debateโ€ with Curtis (1920)
  • Heber Curtis โ€“ Observed Andromeda (M31) spiral nebulae as external โ€œisland universesโ€
  • Vesto Slipher โ€“ Spectra of spiral nebulae showed redshifts (most moving away), first hint of expansion (1912โ€“1925)
  • Albert Einstein โ€“ General Relativity (1915): gravity as spacetime curvature; field equations (G_ฮผฮฝ = 8ฯ€G T_ฮผฮฝ)
  • Einsteinโ€™s cosmological constant (ฮ›, 1917) โ€“ Added to allow static universe (later called his โ€œgreatest blunderโ€)
  • Willem de Sitter โ€“ De Sitter universe (empty, expanding) solution
  • Alexander Friedmann (1922โ€“1924) โ€“ Friedmann equations (homogeneous, isotropic expanding/contracting universes), no cosmological constant needed
  • Georges Lemaรฎtre (1927) โ€“ โ€œPrimeval atomโ€ hypothesis (Big Bang), derived Hubble law, proposed expanding universe from initial singularity
  • Edwin Hubble (1929) โ€“ Hubbleโ€™s 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)
  • Alpherโ€‘Betheโ€‘Gamow 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)
  • Hoyleโ€™s mockery โ€“ Coined โ€œBig Bangโ€ (on BBC radio, 1949), intended as derision
  • Hoyleโ€‘Narlikar 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
  • Sunyaevโ€‘Zelโ€™dovich effect (1969) โ€“ CMB distortion by hot galaxy cluster gas
  • Primordial element abundances โ€“ Observed โดHe (~24%), D, ยณHe, โทLi matched Big Bang nucleosynthesis (BBN), steady state failed
  • Quasars (discovered 1960s) โ€“ Distant, highโ€‘redshift 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 ~10ยนโฐ K, neutrinos decouple), t=3 min (T ~10โน K, neutrons + protons โ†’ โดHe), t=20 min (nucleosynthesis ends)
  • Baryonโ€‘toโ€‘photon ratio (ฮท) โ€“ ~6 ร— 10โปยนโฐ (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 freeโ€‘stream, 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 (1989โ€“1993) โ€“ Discovery of CMB anisotropies (tens of ยตK), John Mather & George Smoot (Nobel 2006)
  • WMAP (Wilkinson Microwave Anisotropy Probe, 2001โ€“2010) โ€“ Highโ€‘resolution map, determined age (13.77 Gyr), baryon density (ฮฉb), dark matter (ฮฉ_cdm), dark energy (ฮฉฮ›), curvature (ฮฉ_kโ‰ˆ0)
  • Planck satellite (2009โ€“2013, 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€“ Eโ€‘modes (from density fluctuations), Bโ€‘modes (primordial gravitational waves โ€“ BICEP/Keck, not yet detected as of 2026; upper limits constrain inflation energy scale)
  • Sunyaevโ€‘Zelโ€™dovich 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)
  • Primordial nucleosynthesis โ€“ Predicted & observed light element abundances (H, D, ยณHe, โดHe, โทLi)
  • Intergalactic medium (IGM) โ€“ Lymanโ€‘ฮฑ forest (absorption lines from neutral hydrogen clouds)
  • Missing baryons problem (solved ~2018) โ€“ Found in warmโ€‘hot intergalactic medium (WHIM) via Xโ€‘ray/UV absorption

12. Dark Matter (Nonโ€‘baryonic)

  • Evidence (1930sโ€“1970s)
  • Zwicky (1933) โ€“ Coma cluster: virial theorem, missing mass (โ€œdunkle Materieโ€)
  • Rubin & Ford (1970s) โ€“ Flat rotation curves of spiral galaxies (velocity constant at large radii)
  • Gravitational lensing โ€“ Strong (Einstein rings, arcs), weak (shear), pixelated lensing (clusters)
  • Bullet Cluster (2006) โ€“ Separation of dark matter (lensing) from hot gas (Xโ€‘ray), strongest direct evidence
  • What dark matter is not โ€“ MACHOs (microlensing excluded), neutrinos (hot dark matter โ€“ too fast, suppresses structure)
  • Cold Dark Matter (CDM) โ€“ Slow, collisionless (except gravity)
  • WIMPs (Weakly Interacting Massive Particles) โ€“ Most searched, no detection (LZ, XENONnT, PandaX as of 2026)
  • Axions โ€“ QCD axion, light (ฮผeV), searches (ADMX, CAST, IAXO, haloscopes)
  • Sterile neutrinos (keV scale) โ€“ Possible warm DM candidate, Xโ€‘ray line searches (no clear signal)
  • Selfโ€‘interacting dark matter (SIDM) โ€“ Proposed to solve smallโ€‘scale problems (cuspโ€‘core, missing satellites)
  • Primordial black holes (PBHs) โ€“ Black holes formed before stars; LIGO/Virgo/KAGRA constraints rule out most mass ranges
  • Status as of 2026 โ€“ Dark matter ~26.8% of universe, particle identity unknown

13. Dark Energy

  • Discovery (1998) โ€“ Two teams (Perlmutter, Riess, Schmidt) using Type Ia supernovae (dimmer than expected at high z โ†’ accelerated expansion)
  • Evidence
  • Supernovae (SNe Ia) โ€“ Standardizable candles (Phillips relation)
  • CMB โ€“ Flat universe (ฮฉ_total โ‰ˆ 1) but matter only ~0.31, missing ~0.69 โ†’ dark energy
  • Baryon Acoustic Oscillations (BAO) โ€“ Sound horizon scale imprinted in galaxy clustering (SDSS, DESI)
  • Weak lensing (Dark Energy Survey โ€“ DES, Euclid, Roman)
  • Simplest model โ€“ Cosmological constant (ฮ›, Einsteinโ€™s โ€œblunderโ€), ฮ›CDM model (Standard Model of Cosmology)
  • Equation of state โ€“ w = p/ฯ (for ฮ›, w = โ€“1 exactly)
  • Current constraints (2026) โ€“ w = โ€“1.00 ยฑ 0.04 (Planck + DESI + SNe), consistent with ฮ›
  • Alternatives โ€“ Quintessence (dynamic scalar field, w > โ€“1), phantom (w < โ€“1), 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 ~5ฯƒ; possible new physics (early dark energy, modified gravity)
  • S8 tension โ€“ Clustering amplitude (ฯƒโ‚ˆ) from CMB vs. weak lensing (~2โ€‘3ฯƒ)

14. Neutrinos & Relics

  • Cosmic neutrino background (CฮฝB) โ€“ Predicted, not yet directly detected (temperature ~1.95 K)
  • Neutrino mass โ€“ Nonโ€‘zero (oscillations), sum of masses <0.12 eV (Planck + DESI), affects structure formation
  • Relic gravitons โ€“ Primordial gravitational waves from inflation (not yet detected)
  • Light relics โ€“ Extra relativistic species (ฮ”N_eff) โ€“ CMB bounds N_eff = 3.0 ยฑ 0.2, consistent with 3.046

Volume 4: Structure Formation & Largeโ€‘Scale Universe

15. Inflationary Cosmology

  • Problems of Big Bang (without inflation)
  • Horizon problem โ€“ CMB uniform across causally disconnected regions
  • Flatness problem โ€“ ฮฉ ~ 1 today requires extreme fineโ€‘tuning at t=1 sec
  • Monopole problem โ€“ No magnetic monopoles observed
  • Alan Guth (1981) โ€“ Inflation (exponential expansion 10โปยณโถ to 10โปยณยฒ sec, scale factor increase >10ยฒโต)
  • Andrei Linde (eternal inflation), Paul Steinhardt (new inflation)
  • Predictions (confirmed)
  • Flat universe (ฮฉ_k โ‰ˆ 0)
  • Nearly scaleโ€‘invariant, adiabatic, Gaussian primordial fluctuations (n_s โ‰ˆ 0.96, Planck)
  • Small tensorโ€‘toโ€‘scalar ratio (r < 0.036, Planck+BICEP/Keck 2022)
  • Slowโ€‘roll inflation โ€“ Inflaton field potential (V(ฯ†))
  • Multiverse โ€“ Eternal inflation produces many bubble universes (speculative)
  • Alternatives โ€“ Bouncing cosmologies (ekpyrotic, cyclic), string gas cosmology

16. Growth of Structure

  • Primordial fluctuations โ€“ Quantum fluctuations during inflation (Gaussian random field)
  • Matter power spectrum P(k) โ€“ Characterized by primordial tilt (n_s) + transfer function (Silk damping, free streaming)
  • Linear perturbation theory โ€“ Jeans instability, growth factor D(z)
  • Hierarchical clustering โ€“ Small structures collapse first, merge into larger (CDM prediction)
  • Nonโ€‘linear structure โ€“ Nโ€‘body simulations (Millennium, Illustris, Eagle, TNG, FLAMINGO 2024)
  • Cosmic web โ€“ Voids, filaments, nodes (galaxy clusters), walls
  • Baryon Acoustic Oscillations (BAO) โ€“ Sound waves in photonโ€‘baryon plasma before recombination; imprinted at recombination scale (~150 Mpc); used as standard ruler

17. Galaxies, Clusters & Voids

  • First stars (Population III) โ€“ Metalโ€‘free, very massive (100โ€‘1,000 M_sun), short lived, reionization sources
  • Reionization โ€“ Epoch ~150 million to 1 billion years; neutral hydrogen โ†’ ionized; probes: Lymanโ€‘ฮฑ forest, 21 cm (future)
  • Galaxy formation โ€“ Cooling, star formation, feedback (supernovae, AGN), quenching
  • Morphologies โ€“ Spiral (Milky Way, Andromeda), elliptical, irregular, dwarf
  • Active Galactic Nuclei (AGN) โ€“ Quasars, blazars, radio galaxies; central supermassive black holes (SMBH)
  • Galaxy clusters โ€“ Coma, Virgo; intracluster medium (ICM, Xโ€‘ray); SZ effect; gravitational lensing
  • Voids โ€“ Underdense regions (~10โ€‘100 Mpc), cosmic voids (e.g., Boรถtes void)

18. Largeโ€‘Scale Structure Surveys

  • 2dF Galaxy Redshift Survey (1997โ€“2002) โ€“ 250k galaxies
  • Sloan Digital Sky Survey (SDSS) (2000โ€“2026) โ€“ Millions of galaxies, spectra, BAO, APOGEE, eBOSS, DESI
  • Dark Energy Survey (DES) (2013โ€“2019) โ€“ Weak lensing, clusters, SNe
  • Dark Energy Spectroscopic Instrument (DESI) (2021โ€“2026) 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€“ Wideโ€‘field infrared
  • Rubin Observatory (LSST) (2025โ€“2035) โ€“ Deep wideโ€‘field imaging, time domain

Volume 5: Cosmic Timeline & Epochs

19. The Standard Cosmological Timeline (in seconds, years)

TimeEventRedshiftTemperature
10โปโดยณ sPlanck epoch (quantum gravity regime)โ€“10ยณยฒ K
10โปยณโถ sInflation beginsโ€“10ยฒโธ K
10โปยณยฒ sInflation ends, reheatingโ€“10ยฒโท K
10โปยนยฒ sElectroweak epoch (symmetry breaking)โ€“10ยนโต K
10โปโถ sQuarkโ€‘gluon plasma โ†’ hadronsโ€“10ยนยณ K
1 sNeutrinos decouple, BBN starts~10ยนโฐ10ยนโฐ K
3 minPrimordial nucleosynthesis (H, He, Li)~10โน10โน K
50,000 yrsMatterโ€‘radiation equality~3400~10โด K
380,000 yrsRecombination, CMB last scattering~1100~3000 K
150 million yrsFirst stars (Pop III), reionization begins~20~60 K
1 billion yrsFirst galaxies, quasars~6~20 K
9.2 billion yrsSolar system forms~0.52.73 K
13.8 billion yrsPresent day02.725 K

20. The Future of the Universe (ฮ›CDM 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 (10ยนโด โ€“ 10โดโฐ yrs)
  • Black hole evaporation โ€“ Hawking radiation (10โถโท โ€“ 10ยนโฐโฐ 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 < โ€“1, phantom energy, ruled out by data), Vacuum decay (false vacuum collapse)

Volume 6: Observational Cosmology (Techniques & Instruments)

21. Distance Ladder & Standard Candles

  • Parallax โ€“ Gaia satellite (billion stars, microarcsecond precision)
  • Cepheid variables โ€“ Leavittโ€™s law, Hubble Space Telescope (HST), JWST
  • Type Ia supernovae โ€“ Chandrasekhar mass explosion, Phillips relation, calibrators
  • Tullyโ€‘Fisher relation โ€“ Spiral galaxy rotation velocity vs. luminosity
  • Fundamental plane โ€“ Elliptical galaxies (size, velocity dispersion, surface brightness)
  • Surface brightness fluctuations
  • Gravitational waves โ€“ Standard sirens (GW170817 + optical counterpart), independent Hโ‚€ measurement

22. Redshift & Spectroscopy

  • Cosmological redshift โ€“ Due to expansion (z = ฮ”ฮป/ฮป = aโ‚€/a_emit โ€“ 1)
  • Hubble flow โ€“ Recessional velocity v โ‰ˆ cz (for small z)
  • Lymanโ€‘ฮฑ forest โ€“ Intervening neutral hydrogen clouds (absorption lines)
  • 21 cm line โ€“ Neutral hydrogen (potential for Dark Ages mapping, SKA)
  • Spectrographs โ€“ DESI, VLT/MUSE, JWST/NIRSpec

23. Gravitational Lensing

  • Strong lensing โ€“ Einstein rings, arcs, multiple images (time delays โ†’ Hโ‚€)
  • Weak lensing โ€“ Coherent shape distortion of background galaxies (shear), maps dark matter distribution
  • Microlensing โ€“ Dark compact objects (MACHOs), exoplanets
  • Galaxyโ€‘galaxy lensing โ€“ Average halo mass
  • Cluster lensing โ€“ Dark matter mapping (Bullet Cluster)

24. Major Observatories (Ground & Space)

  • Optical/IR โ€“ HST (1990), JWST (2021), Rubin (2025), Roman (2027), Keck, VLT, Subaru
  • CMB โ€“ COBE, WMAP, Planck, ACT, SPT, BICEP/Keck, Simons Observatory, CMBโ€‘S4 (planned)
  • Radio โ€“ VLA, ALMA, GMRT, MeerKAT, SKA (Phase 1 2020s)
  • Xโ€‘ray โ€“ Chandra, XMMโ€‘Newton, eROSITA, XRISM, Athena (planned)
  • Gammaโ€‘ray โ€“ Fermi, HESS, MAGIC, CTA (planned)
  • Neutrino โ€“ IceCube, ANTARES, KM3NeT
  • Gravitational wave โ€“ LIGO, Virgo, KAGRA, LISA (planned 2030s)

Volume 7: Relativistic Cosmology & Mathematical Framework

25. General Relativity Essentials

  • Einstein field equations โ€“ G_ฮผฮฝ + ฮ› g_ฮผฮฝ = (8ฯ€G/cโด) T_ฮผฮฝ
  • Schwarzschild solution โ€“ Nonโ€‘rotating black hole
  • Kerr solution โ€“ Rotating black hole
  • FLRW metric โ€“ dsยฒ = โ€“dtยฒ + a(t)ยฒ [drยฒ/(1โ€“krยฒ) + rยฒ(dฮธยฒ+sinยฒฮธ dฯ†ยฒ)] (k = +1 closed, 0 flat, โ€“1 open)
  • Friedmann equations โ€“ Hยฒ = (8ฯ€G/3)ฯ โ€“ k/aยฒ + ฮ›/3; and acceleration equation
  • Critical density โ€“ ฯ_crit = 3Hยฒ/(8ฯ€G)
  • Density parameters โ€“ ฮฉm = ฯ_m/ฯ_crit, ฮฉฮ› = ฮ›/(3Hยฒ), ฮฉk = โ€“k/(aยฒHยฒ), ฮฉ_total = ฮฉ_m+ฮฉฮ›+ฮฉ_k = 1

26. Distances in Cosmology

  • Comoving distance โ€“ ฯ‡ = โˆซโ‚€แถป dz/H(z)
  • Angular diameter distance โ€“ D_A = ฯ‡/(1+z)
  • Luminosity distance โ€“ D_L = (1+z) ฯ‡
  • Distance modulus โ€“ ฮผ = 5 logโ‚โ‚€(D_L/10 pc)

27. Thermal History & Recombination

  • Saha equation โ€“ Ionization fraction as function of T
  • Peeblesโ€™ recombination history โ€“ 2sโ†’1s (twoโ€‘photon decay)
  • Thomson scattering โ€“ Photonโ€‘electron coupling
  • Visibility function โ€“ Probability last scattering at redshift z

Volume 8: Alternative & Frontier Cosmologies (up to 2026)

28. Modified Gravity Theories

  • f(R) gravity โ€“ Replace Ricci scalar R with f(R)
  • DGP model โ€“ Brane world (Dvaliโ€‘Gabadadzeโ€‘Porrati), selfโ€‘accelerating
  • MOND (Modified Newtonian Dynamics) โ€“ Explains galaxy rotation curves without dark matter, fails at cluster scales and CMB
  • TeVeS (Tensorโ€‘Vectorโ€‘Scalar) โ€“ Relativistic MOND, challenged by gravitational waves (GW170817)
  • Emergent gravity โ€“ Verlindeโ€™s entropic gravity, not widely accepted

29. Quantum Cosmology & Early Universe

  • Planck scale โ€“ l_P ~ 1.6ร—10โปยณโต m, t_P ~ 5.4ร—10โปโดโด s
  • String cosmology โ€“ Brane inflation, ekpyrotic universe (colliding branes)
  • Loop Quantum Cosmology (LQC) โ€“ Big Bounce instead of singularity (no initial singularity)
  • Hartleโ€‘Hawking noโ€‘boundary proposal โ€“ Universe without beginning (imaginary time)
  • Causal dynamical triangulation (CDT) โ€“ Emergent spacetime
  • Multiverse โ€“ Types: Level I (infinite space), Level II (bubble universes from eternal inflation), Level III (quantum manyโ€‘worlds), Level IV (mathematical)

30. Tensions & Anomalies (2026 Status)

  • Hubble tension (5ฯƒ) โ€“ Early vs. late Hโ‚€; possible solutions: early dark energy, modified gravity, CMB lensing anomalies, local supervoid
  • S8 tension (2โ€‘3ฯƒ) โ€“ Clustering amplitude; possible solutions: neutrino mass, modified gravity, systematic errors
  • CMB anomalies โ€“ Cold spot (possible supervoid), hemispherical asymmetry, alignment of quadrupole/octupole
  • Lithium problem โ€“ Observed โทLi ~ factor 3 lower than BBN prediction (unresolved)
  • ELT, JWST, Roman โ€“ May resolve or deepen tensions

Volume 9: People, Institutions & Key Discoveries

31. Pioneers (Alphabetical)

  • Arno Penzias, Robert Wilson โ€“ CMB discovery
  • Edwin Hubble โ€“ Expansion of universe, galaxy classification
  • Alan Guth โ€“ Inflation
  • Stephen Hawking โ€“ Hawking radiation, singularity theorems, noโ€‘boundary
  • Albert Einstein โ€“ General relativity
  • George Gamow โ€“ Big Bang nucleosynthesis
  • Vera Rubin โ€“ Dark matter (rotation curves)
  • Saul Perlmutter, Brian Schmidt, Adam Riess โ€“ Dark energy (SNe Ia)
  • John Mather, George Smoot โ€“ CMB blackbody & anisotropy (COBE)
  • Rashid Sunyaev, Yakov Zelโ€™dovich โ€“ SZ effect, CMB physics
  • Michael Turner โ€“ โ€œDark energyโ€ term, cosmic acceleration
  • Neta Bahcall โ€“ Largeโ€‘scale structure
  • Margaret Burbidge โ€“ Stellar nucleosynthesis

32. Major Collaborations & Institutions

  • Planck, WMAP, COBE (NASA/ESA)
  • SDSS, DESI (groundโ€‘based surveys)
  • Euclid (ESA), Roman (NASA)
  • LIGO/Virgo/KAGRA (gravitational waves)
  • IceCube (neutrino astronomy)
  • Simons Observatory, CMBโ€‘S4 (CMB)
  • International Astronomical Union (IAU)
  • Institute for Advanced Study (Princeton), Perimeter Institute, Max Planck Institute for Astrophysics

Volume 10: Appendices & Reference

Appendix A: Glossary of 250+ Cosmology Terms

  • Angular diameter distance to Zelโ€™dovich pancake

Appendix B: Constants & Parameters (2026 Best Values)

  • Hโ‚€ = 67.4 ยฑ 0.5 km/s/Mpc (Planck 2018 + DESI 2025)
  • ฮฉ_m = 0.315 ยฑ 0.007
  • ฮฉ_ฮ› = 0.685 ยฑ 0.007
  • ฮฉ_b = 0.049 ยฑ 0.001
  • ฮฉ_cdm = 0.266 ยฑ 0.006
  • ฮฉ_k = โ€“0.0004 ยฑ 0.0018
  • n_s = 0.965 ยฑ 0.004
  • ฯƒโ‚ˆ = 0.812 ยฑ 0.006
  • tโ‚€ = 13.797 ยฑ 0.020 Gyr
  • T_CMB = 2.72548 ยฑ 0.00057 K

Appendix C: Timeline of Cosmology (30,000 BCE โ€“ 2026)

Appendix D: Major Cosmological Surveys (Table)

Appendix E: Nโ€‘Body Simulation Code Comparison (GADGET, AREPO, Enzo, RAMSES, SWIFT)

Appendix F: CMB Power Spectrum Explained (โ„“ vs. D_โ„“)

Appendix G: Derivation of Friedmann Equations (Brief)

Appendix H: List of Unsolved Problems (as of 2026)

  • Nature of dark matter
  • Nature of dark energy (why ฮ› small, why now?)
  • Hubble tension resolution
  • S8 tension resolution
  • Primordial gravitational waves (Bโ€‘modes)
  • What happened before inflation?
  • Is the multiverse real?
  • Quantum gravity (string theory, LQG, asymptotic safety)

Appendix I: Further Reading & Resources

  • Books: Peebles (Principles of Physical Cosmology), Dodelson (Modern Cosmology), Weinberg (Cosmology), Ryden (Introduction to Cosmology)
  • Online: Ned Wrightโ€™s Cosmology Tutorial, Wayne Huโ€™s CMB pages, arXiv.org (astro-ph.CO)

End Matter

  • Subject Index โ€“ Aโ€‘Z (e.g., โ€œBaryon Acoustic Oscillations, 245โ€“249โ€, โ€œDark energy, 310โ€“330โ€)
  • About the Editor โ€“ Cosmologist (20+ years)
  • Contributors โ€“ Observational, theoretical, computational cosmologists
  • Disclaimer โ€“ Some values and tensions may update after 2026

Tags: Cosmology Sarvarthapedia Area-2 (Universe) Science

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