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SL Calibration |
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Usage Guide — Stationary Light Cosmology CalculatorThis calculator is intended for comparison with ΛCDM predictions or direct observations, especially in the context of type Ia supernovae and Big Bang Nucleosynthesis. It generates cosmic distance scales—light travel time, coordinate distance, luminosity distance, angular diameter distance, and proper age— when input with redshift. THe second module computes background temperature in the early universe from time in seconds, covering a range from the Planck time (10⁻⁴³) up to 20,000 seconds, calibrated to the observed present-day background temperature of 2.73 K.All outputs are derived from the Stationary Light framework, which defines redshift and cosmic evolution geometrically—without reference to the Friedmann equations, energy density, dark energy, or spacetime curvature. The only free parameter in the model is the present cosmic time, defaulting at 13.8, and a corresponding natural time tn = 1.74.The model introduces a natural time coordinate that ranges from 0 to 2 and defines an absolute cosmic timeline. From this, all cosmological observables follow without invoking expansion rate equations or density balancing.Two forms of redshift are used: Relative redshift, corresponding to observed z: z = -ln(1 - t)/√(1 - t²) Natural redshift, which encodes the objective change in cosmic clock rate as a function of natural time: zn = -ln(tₙ)/√(2tn - tn²)The forms are related simply by: zn(emitter) = z+zn(observer)The calibration of the present moment allows any earlier epoch to be located in natural time, and from there, distances, ages, and background temperatures can be calculated. There is no assumed content of the universe—only geometry. The relationship between proper age and natural time is non-linear. Light travel time + proper age of emitter do not add up to present age in SL. For early universe temperature in this calculator, a precomputed integral is used to approximate proper age.This tool is intended to invite exploration and scrutiny. For any inquiries, please contact the author at stationarylightcosmology@gmail.com.