# Radiação Hawking de Buracos Negros

Visualização interativa da evaporação de buracos negros através da radiação Hawking

> Página canônica: https://elysiatools.com/pt/visualizations/black-hole-hawking-radiation

- **Categoria:** Physics

## Visão geral

Interactive visualization of black hole Hawking radiation demonstrating quantum effects near event horizons, black hole evaporation, and thermodynamics. Features the fundamental equations: Hawking temperature T = ħc³/(8πGMk_B) showing temperature inversely proportional to mass - solar mass black hole has T ~ 60 nK while 10¹² kg black hole has T ~ 10¹² K; Schwarzschild radius R_s = 2GM/c² defining the event horizon boundary; evaporation rate dM/dt = -ħc⁴/(15360πG²M²) with power output P ∝ 1/M²; black hole lifetime τ = 5120πG²M³/(ħc⁴) ~ 10⁶⁷ years for stellar mass; black hole entropy S = A/4 = 4πGM²/(ħc) proportional to surface area supporting holographic principle. Real-time visualization includes: (1) Black hole view canvas showing event horizon with relativistic effects, accretion disk with Doppler beaming, relativistic jets, photon sphere at 1.5 R_s, animated Hawking radiation particles escaping from near horizon, dynamic size changes as mass decreases through evaporation; (2) Hawking radiation visualization showing virtual particle pairs creation near event horizon with one particle falling in (negative energy) and one escaping (positive energy), temperature-based color coding (red for hot small black holes, blue for cold large ones), radiation intensity proportional to temperature; (3) Mass vs time chart showing evaporation curve M(t) with accelerating mass loss as black hole shrinks, real-time plotting of current state; (4) Temperature vs mass chart showing T ∝ 1/M relationship on log-log scale with current temperature marker; (5) Power vs mass chart showing P ∝ 1/M² relationship demonstrating dramatic power increase near end of evaporation. Interactive parameters: initial black hole mass (0.1-100 M☉ for stellar, 10¹² kg for primordial, 10⁶ M☉ for supermassive), black hole type presets (stellar, supermassive, primordial, micro, intermediate), time speed control (0.1-100x for accelerated visualization), mass scale display (linear/logarithmic), radiation intensity (10-100%). Display options: show/hide accretion disk, relativistic jets, virtual particle pairs, event horizon, photon sphere, information paradox indicator tracking quantum information loss. Presets include: Stellar Black Hole (10 M☉, T ~ 10⁻⁸ K, τ ~ 10⁶⁷ years - effectively stable), Primordial Black Hole (10¹² kg, T ~ 10¹² K, evaporating now), Micro Black Hole (10¹² kg, extremely short-lived), Final Explosion Phase (demonstrating last moments of evaporation with dramatic temperature/power increase). Educational content covers physical mechanism (quantum field theory in curved spacetime, virtual particle pairs, negative energy infalling particles, thermal radiation spectrum), key properties (mass-temperature relation T ∝ 1/M, lifetime τ ∝ M³, power P ∝ 1/M², entropy S ∝ A), types of black holes (stellar 3-100 M☉ from collapsed stars, supermassive 10⁶-10⁹ M☉ in galactic centers, primordial 10¹²-10²⁰ kg from early universe, micro <10¹² kg extremely short-lived), scientific significance (quantum gravity prediction, black hole thermodynamics, information paradox, cosmological implications, holographic principle support), and historical context (Stephen Hawking's 1974 discovery, revolution in understanding black holes, first concrete link between gravity and quantum theory, holographic principle and AdS/CFT correspondence, remains unobserved experimentally but crucial for theoretical physics). Multi-language support (zh, en, de, fr, es, pt, ru).

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