Cosmic expansion and the hot early universe

Connect expanding-universe dynamics to thermal equilibrium, particle freezeout, nucleosynthesis, recombination, and quantitatively defined early-universe scenarios.

10 published lessons1 module193 min of guided study
  1. 01
    Cosmic expansion and the hot early universeadvanced · 10 lessons

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Cosmic expansion and the hot early universe

Connect expanding-universe dynamics to thermal equilibrium, particle freezeout, nucleosynthesis, recombination, and quantitatively defined early-universe scenarios.

  1. 01

    FLRW symmetry and Friedmann dynamics

    Evolve a homogeneous cosmic background while keeping geometry, pressure, and thermal assumptions distinct.

    18 min
  2. 02

    Cosmic time, conformal time, and horizons

    Integrate light propagation to distinguish particle horizons, event horizons, and the Hubble length.

    18 min
  3. 03

    Entropy conservation and relativistic degrees of freedom

    Track energy and entropy separately when species become massive or leave a thermal bath.

    19 min
  4. 04

    Thermal reaction rates versus Hubble expansion

    Use rate comparisons without mistaking a crossing estimate for a complete kinetic solution.

    18 min
  5. 05

    Neutrino decoupling and relic temperature

    Derive the ideal neutrino-photon temperature ratio and identify the corrections hidden by instantaneous decoupling.

    19 min
  6. 06

    Dark matter freezeout and freezein models

    Integrate simple relic-yield equations while exposing their particle and cosmological assumptions.

    20 min
  7. 07

    Nucleosynthesis timing and baryon density

    Connect weak conversion, neutron survival, and the deuterium bottleneck to light-element abundances.

    20 min
  8. 08

    Recombination and photon decoupling

    Distinguish equilibrium ionization, radiative recombination kinetics, and the probability of last scattering.

    20 min
  9. 09

    Baryogenesis conditions and model dependence

    Separate evidence for a baryon excess from conditional mechanisms that could generate or redistribute it.

    20 min
  10. 10

    Inflationary background dynamics and reheating

    Separate exact scalar-background dynamics, slow-roll estimates, and the formation of a thermal radiation bath.

    21 min
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