{"section":"interactives","label":"Interactive Explorers","count":6,"generatedAt":"2026-03-20","items":[{"slug":"redshift-and-lookback-explorer","path":"/interactives/redshift-and-lookback-explorer/","title":"Redshift, Lookback Time & Distance Explorer","description":"Interactive ΛCDM cosmology calculator converting redshift z into scale factor, cosmic age, lookback time, and comoving, luminosity, and angular distances.","epistemicStatus":"standard-model-consensus","formula":"d_C(z) = (c / H₀) ∫₀^z dz' / E(z')  ;  t_L(z) = (1 / H₀) ∫₀^z dz' / [ (1 + z') E(z') ]","sources":["src:planck-2018","src:shoes-2022","src:jwst-archive"]},{"slug":"cosmic-distance-ladder-explorer","path":"/interactives/cosmic-distance-ladder-explorer/","title":"Cosmic Distance Ladder Interactive Explorer","description":"Interactive distance modulus, trigonometric parallax, and standard-candle explorer spanning Gaia astrometry, Cepheids, TRGB stars, and Type Ia supernovae.","epistemicStatus":"strong-observational-evidence","formula":"μ₀ = m − M − A_V = 5 log₁₀(d_pc) − 5  ⇔  d_pc = 10^((m − M − A_V + 5) / 5) = 1 / p_arcsec","sources":["src:gaia-dr3","src:shoes-2022","src:hipparcos-new"]},{"slug":"hertzsprung-russell-evolution-explorer","path":"/interactives/hertzsprung-russell-evolution-explorer/","title":"H-R Diagram & Stellar Evolution Explorer","description":"Interactive stellar physics calculator computing luminosity, radius, spectral class, main-sequence lifetime, and final remnant from mass and temperature.","epistemicStatus":"strong-observational-evidence","formula":"L / L_☉ = (R / R_☉)² (T_eff / 5772 K)⁴  ;  τ_MS ≈ 10 Gyr · (M / M_☉) / (L / L_☉)","sources":["src:gaia-dr3","src:simbad-cds","src:harris-globulars"]},{"slug":"hubble-tension-comparison-explorer","path":"/interactives/hubble-tension-comparison-explorer/","title":"Hubble Tension Statistical Comparison Explorer","description":"Interactive cosmological tension calculator comparing Planck CMB, DESI BAO, CCHP TRGB/JAGB, and SH0ES Cepheid H₀ measurements and their implied Hubble times.","epistemicStatus":"competing-interpretations","formula":"T_σ = |H₀,A − H₀,B| / √(σ_A² + σ_B²)  ;  t₀(H₀, Ω_m) = (977.8 Gyr / H₀) · (2 / 3√Ω_Λ) ln[ (1 + √Ω_Λ) / √Ω_m ]","sources":["src:planck-2018","src:shoes-2022","src:jwst-archive","src:gaia-dr3"]},{"slug":"exoplanet-detection-methods-comparator","path":"/interactives/exoplanet-detection-methods-comparator/","title":"Exoplanet Detection Methods Comparator","description":"Interactive exoplanet observability calculator computing transit depth, geometric transit probability, radial velocity wobble K_★, and astrometric signature.","epistemicStatus":"strong-observational-evidence","formula":"ΔF/F = (R_p / R_★)²  ;  K_★ = 28.43 m/s · (M_p/M_Jup)(P/yr)^(−1/3)(M_★/M_☉)^(−2/3)  ;  T_eq = T_★ √(R_★ / 2a) (1 − A_B)^(1/4)","sources":["src:nasa-exoplanet-archive","src:jwst-archive","src:gaia-dr3"]},{"slug":"blackbody-spectrum-and-wiens-law-explorer","path":"/interactives/blackbody-spectrum-and-wiens-law-explorer/","title":"Blackbody Spectrum & Wien's Law Explorer","description":"Interactive Planck thermal radiation calculator computing Wien peak wavelength, spectral regime, photon energy, and Stefan-Boltzmann flux from 2.7 K to 10⁷ K.","epistemicStatus":"strong-observational-evidence","formula":"λ_peak = b / T = 2.89777 × 10⁶ nm·K / T  ;  F = σ_SB T⁴ = (5.67037 × 10⁻⁸ W m⁻² K⁻⁴) · T⁴","sources":["src:planck-2018","src:gaia-dr3","src:jwst-archive"]}]}