Extreme astrophysical accelerators

Analyze accretion, shocks, compact-object transients, and high-energy messengers using physical energy budgets and explicitly constrained source models.

10 published lessons1 module280 min of guided study
  1. 01
    Extreme astrophysical acceleratorsresearch · 10 lessons

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Extreme astrophysical accelerators

Analyze accretion, shocks, compact-object transients, and high-energy messengers using physical energy budgets and explicitly constrained source models.

  1. 01

    Accretion requires an angular momentum budget

    Derive a steady disk surface density from torque transport and an explicit inner boundary.

    28 min
  2. 02

    Disk luminosity follows energy transport and boundary conditions

    Connect the one-face temperature profile to total luminosity while distinguishing Newtonian and relativistic efficiency.

    28 min
  3. 03

    A regular sonic transition selects spherical accretion

    Derive an isothermal Bondi rate using the sonic critical point and reservoir boundary conditions.

    28 min
  4. 04

    Repeated shock crossings produce a conditional power law

    Derive a test-particle spectrum and compare acceleration with age, escape and cooling.

    28 min
  5. 05

    A cosmic-ray spectrum includes its propagation history

    Relate diffusion length and escape to source spectra without treating arrival directions as straight source pointers.

    28 min
  6. 06

    Relativistic jets compress arrival times and shift radiation

    Separate bulk motion, electron motion and cosmological redshift when interpreting variability and emission.

    28 min
  7. 07

    A burst and its afterglow probe different physical stages

    Use compactness, pair transparency and blast-wave scalings without identifying one prompt-emission model as an observation.

    28 min
  8. 08

    Expansion and photon diffusion reshape supernova energy

    Relate an illustrative ejecta energy to a diffusion light-curve scale without equating luminosity and explosion power.

    28 min
  9. 09

    Hadronic neutrinos require targets, thresholds and decay

    Compare pp and photohadronic kinematics, interaction efficiency and the detector’s energy-dependent response.

    28 min
  10. 10

    A coincidence becomes evidence through a specified search

    Distinguish measured arrival delays, false-alarm probabilities and posterior source odds.

    28 min
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