Supernova Energy Calculator

Calculate Schwarzschild radius r_s, Hawking temperature, Hubble redshift expansion, stellar luminosity, and Chandrasekhar mass limit for supernova energy.

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Input Astrophysics Parameters

Enter stellar mass, cosmological redshift, or distance.

Calculated Event Horizon Radius / Value

29.54 km
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Schwarzschild Metric

The event horizon radius of a non-rotating black hole scales linearly with mass: r_s = (2 × G × M) / c² ≈ 2.95 km per solar mass M☉.

Calculation Methodology & Details

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Formula

Schwarzschild Radius: r_s = (2GM) / c² Hubble Law Velocity: v = H₀ × d Hawking Temperature: T_H = (ħ c³) / (8π G M k_B) Chandrasekhar Limit: M_ch ≈ 1.44 M☉

Applies Einstein's General Relativity field equations, FLRW cosmological metric, and quantum Hawking radiation thermodynamics.

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Important Disclaimer

Calculations assume standard ΛCDM cosmological model parameters (H₀ ≈ 67.4 km/s/Mpc) and spherically symmetric non-charged Kerr-Schwarzschild metrics.

How to Calculate Step-by-Step

Follow these steps to complete the calculation:

1

Step 1

Enter stellar mass M in solar units (M☉ = 1.989 × 10³⁰ kg) or redshift z.

2

Step 2

Specify Hubble constant H₀ or parsec distance d.

3

Step 3

View event horizon radius in km, Hawking temperature in Kelvin, stellar main-sequence lifetime, or comoving galaxy distance in Megaparsecs (Mpc).

Detailed Insights & Expert Guide

ℹ️ About this Calculation

The Supernova Energy Calculator calculates General Relativistic black hole event horizons, Hubble cosmological expansion redshift, Chandrasekhar white dwarf limit, gravitational lensing deflection, and Big Bang timeline evolution.

Variable Glossary

Input

Solar Mass (M☉)

Standard astronomical mass unit equal to the mass of the Sun (1.98847 × 10³⁰ kg).

Parameter

Redshift (z)

Fractional change in electromagnetic wavelength caused by cosmic space expansion: z = (λ_observed - λ_emitted) / λ_emitted.

FAQ

What is the Chandrasekhar Limit?
The Chandrasekhar limit (~1.44 solar masses M☉) is the maximum mass of a stable electron-degenerate white dwarf star. Exceeding this limit causes core collapse into a neutron star or Type Ia supernova explosion.
What is the Cosmic Microwave Background (CMB)?
The CMB is thermal remnant blackbody radiation left over from recombination ~380,000 years after the Big Bang, redshifted today to a uniform temperature of T = 2.7255 K in the microwave spectrum.
What is Olbers' Paradox?
Olbers' Paradox asks why the night sky is dark if the universe is infinite and filled with stars. Resolved by the finite age of the universe (13.8 billion years) and cosmic expansion redshift.