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Cosmology Suite Calculator

Complete cosmology calculations. Hubble's law, cosmic distances, Big Bang timeline, dark matter/energy, CMB analysis, and black hole physics.

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How to Use This Calculator
  1. Follow the step-by-step wizard — complete each step before moving to the next. This guided approach ensures you provide all the necessary information in a logical order.
  2. Calculation Type — Calculation mode to use. Choose from: Hubble's Law & Distances, Big Bang Timeline, Dark Matter & Energy, Cosmic Microwave Background, Black Holes. default: 0.
  3. Redshift (z) — Observed redshift of object default: 0.1.
  4. Hubble Constant (km/s/Mpc) — H₀ ≈ 70 km/s/Mpc default: 70.
  5. Ωm (Matter Density) — enter a numeric value. default: 0.3.
  6. ΩΛ (Dark Energy Density) — enter a numeric value. default: 0.7.
  7. Time After Big Bang (years) — Enter time in years default: 380,000.
  8. Scale Factor (a) — a = 1 today, a = 0 at Big Bang default: 0.001.
  9. Ωb (Baryonic Matter) — enter a numeric value. default: 0.05.
  10. Ωdm (Dark Matter) — enter a numeric value. default: 0.27.
  11. ΩΛ (Dark Energy) — enter a numeric value. default: 0.68.
  12. Hubble Constant (km/s/Mpc) — enter a numeric value. default: 70.
  13. CMB Temperature (K) — Measured: 2.72548 ± 0.00057 K default: 2.725.
  14. Dipole Amplitude (mK) — Due to Solar System motion default: 3.346.
  15. Fluctuation Level (μK) — Primary anisotropies default: 18.
  16. Black Hole Mass (M☉) — In solar masses default: 10.
  17. Spin Parameter (a/M) — 0 = Schwarzschild, 1 = extremal Kerr default: 0.
  18. Once all inputs are set, review your results in the Results panel. Here's what each output means:
  19. Recession Velocity (km/s) — shown as a numeric value. This is the primary result of this calculator.
  20. Comoving Distance (Gly) — shown as a numeric value. This is the primary result of this calculator.
  21. Cosmic Epoch — your calculated result. This is the primary result of this calculator.
  22. Total Ω — shown as a numeric value. This is the primary result of this calculator.
  23. Universe Fate — your calculated result. This is the primary result of this calculator.
  24. Peak Wavelength (mm) — shown as a numeric value. This is the primary result of this calculator.
  25. Schwarzschild R (km) — shown as a numeric value. This is the primary result of this calculator.
  26. Luminosity Distance (Gly) — shown as a numeric value.
  27. Lookback Time (Gyr) — shown as a numeric value.
  28. Age When Emitted (Gyr) — shown as a numeric value.
  29. Scale Factor — shown as a numeric value.
  30. Description — your calculated result.
  31. Temperature (K) — shown as a numeric value.
  32. Radiation (%) — shown as a percentage.
  33. Matter (%) — shown as a percentage.
  34. Dark Energy (%) — shown as a percentage.
  35. Accelerating? — your calculated result.
  36. Universe Age (Gyr) — shown as a numeric value.
  37. Critical Density (g/cm³) — shown as a numeric value.
  38. Matter-ΛEquality z — shown as a numeric value.
  39. Peak Frequency (GHz) — shown as a numeric value.
  40. Photon Density (/cm³) — shown as a numeric value.
  41. Recombination z — shown as a numeric value.
  42. Our Velocity (km/s) — shown as a numeric value.
  43. Event Horizon (km) — shown as a numeric value.
  44. ISCO (km) — shown as a numeric value.
  45. Hawking Temp (K) — shown as a numeric value.
  46. Evaporation Time (yr) — shown as a numeric value.
  47. Eddington Limit (L☉) — shown as a numeric value.
  48. View the Universe Composition below for a visual breakdown of how the numbers relate to each other.
  49. Check the Cosmological Parameters for a detailed row-by-row breakdown. This is useful for spotting trends or finding values at specific points.
  50. Explore the related calculators below if you need deeper analysis or want to approach this topic from a different angle.
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Formula

v = H₀d (Hubble) | r_s = 2GM/c² | T_H = ℏc³/(8πGMk_B)

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