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Information Paradox and Hawking Radiation
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== <span style="color: #FFFFFF;">Applying</span> == '''Modeling 'The Black Hole Evaporation' (Calculating 'Lifespan'):''' <syntaxhighlight lang="python"> def calculate_black_hole_life(mass_solar_masses): """ Shows why 'Small' black holes are 'Dangerous' and 'Big' ones are 'Eternal'. """ # Lifespan is proportional to Mass^3 # A 1 solar mass black hole lives ~10^67 years lifespan_years = (mass_solar_masses ** 3) * 1e67 if lifespan_years > 1e100: return f"TYPE: SUPERMASSIVE. Lifespan: {lifespan_years} years. (Practically Eternal)." elif mass_solar_masses < 1e-18: # Micro Black Hole return f"TYPE: MICRO. Lifespan: < 1 second. (Explodes instantly!)." else: return f"TYPE: STELLAR. Lifespan: {lifespan_years} years." # Case: A Black Hole the size of a Mountain (1e-15 solar masses) print(calculate_black_hole_life(1e-15)) # Case: The Sun print(calculate_black_hole_life(1.0)) </syntaxhighlight> ; Paradox Landmarks : '''The 'Bekenstein-Hawking' Formula''' β The "Most Beautiful Equation": "Linking" **G** (Gravity), **h** (Quantum), **c** (Relativity), and **k** (Thermodynamics) in "One Line." : '''Information 'Scrambling' ''' β The "Discovery" that black holes are the **"Fastest Scramblers"** in the universe: they "Mix" information "So Thoroughly" that it "Looks like Randomness" "Instantly." : '''The 'ER=EPR' Hypothesis''' β (See Article 121). The "Theoretical Link" "Suggesting" that **"Wormholes"** (ER) are "Actually" **"Quantum Entanglement"** (EPR). : '''Gravitational 'Memory' Effect''' β The "Theory" that "Gravitational Waves" (see Article 122) "Leave" a "Permanent Mark" on "Space-Time," "Helping" "Store" "Lost Information." </div> <div style="background-color: #8B4500; color: #FFFFFF; padding: 20px; border-radius: 8px; margin-bottom: 15px;">
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