Particle Creation by Black Holes by Stephen Hawking: Difference between revisions
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==Particle Creation by Black Holes== | |||
===What's this about?=== | |||
This paper by physicist Stephen Hawking discusses how black holes can create and emit particles, acting like hot bodies with a temperature. | |||
===Black Holes Should Only Absorb=== | |||
Classically, black holes can only absorb particles, not emit them. But quantum effects could cause emission. | |||
===Black Hole Temperature=== | |||
Hawking showed that black holes emit particles like a body with temperature T proportional to the surface gravity K of the black hole. For a solar mass black hole, T is tiny. | |||
===Quantum Particles Near Horizon=== | |||
Virtual particle pairs exist near the event horizon. A negative energy particle can tunnel inside, becoming real. The positive energy particle escapes as radiation. | |||
===Emission Causes Black Holes to Shrink=== | |||
This emission causes black holes to slowly shrink over billions of years. Tiny primordial black holes would have evaporated by now. | |||
===As Mass Decreases, Emission Speeds Up=== | |||
As black holes shrink, they get hotter and emit faster. This can cause explosions releasing huge energy. | |||
===Area Decreasing Violates Classical Laws=== | |||
Classically, a black hole's area can't decrease. But the emission violates this, implying negative energy flow across horizon. | |||
===Quantum Fluctuations Cause Uncertainty=== | |||
The area decrease is due to quantum uncertainty in the horizon position, not observable negative energy. | |||
===Emission Matches Thermal Temperature=== | |||
Hawking showed the emission matches a thermal spectrum at temperature T, supporting thermodynamic links between T, entropy, and surface gravity. | |||
===Angular Momentum and Charge=== | |||
Rotation and charge affect T. Emission carries away angular momentum and charge. Superradiance causes enhanced emission for some modes. | |||
===Back Reaction On the Metric=== | |||
The | The emission causes the black hole to evolve, not remain stationary. But the approximation works until the black hole becomes very small. | ||
===Conclusion=== | |||
Quantum particle emission causes black holes to eventually evaporate away due to an underlying thermodynamic relationship between temperature, entropy, and surface gravity. | |||
===Key References=== | |||
Hawking, Nature 248, 30 (1974) | |||
Hawking, Communications in Mathematical Physics 43, 199 (1975) | |||
Bekenstein, Physical Review D 7, 2333 (1973) | |||
See original paper for full details and references. | |||
See original paper for full | |||
Latest revision as of 01:01, 19 September 2023
Particle Creation by Black Holes[edit | edit source]
What's this about?[edit | edit source]
This paper by physicist Stephen Hawking discusses how black holes can create and emit particles, acting like hot bodies with a temperature.
Black Holes Should Only Absorb[edit | edit source]
Classically, black holes can only absorb particles, not emit them. But quantum effects could cause emission.
Black Hole Temperature[edit | edit source]
Hawking showed that black holes emit particles like a body with temperature T proportional to the surface gravity K of the black hole. For a solar mass black hole, T is tiny.
Quantum Particles Near Horizon[edit | edit source]
Virtual particle pairs exist near the event horizon. A negative energy particle can tunnel inside, becoming real. The positive energy particle escapes as radiation.
Emission Causes Black Holes to Shrink[edit | edit source]
This emission causes black holes to slowly shrink over billions of years. Tiny primordial black holes would have evaporated by now.
As Mass Decreases, Emission Speeds Up[edit | edit source]
As black holes shrink, they get hotter and emit faster. This can cause explosions releasing huge energy.
Area Decreasing Violates Classical Laws[edit | edit source]
Classically, a black hole's area can't decrease. But the emission violates this, implying negative energy flow across horizon.
Quantum Fluctuations Cause Uncertainty[edit | edit source]
The area decrease is due to quantum uncertainty in the horizon position, not observable negative energy.
Emission Matches Thermal Temperature[edit | edit source]
Hawking showed the emission matches a thermal spectrum at temperature T, supporting thermodynamic links between T, entropy, and surface gravity.
Angular Momentum and Charge[edit | edit source]
Rotation and charge affect T. Emission carries away angular momentum and charge. Superradiance causes enhanced emission for some modes.
Back Reaction On the Metric[edit | edit source]
The emission causes the black hole to evolve, not remain stationary. But the approximation works until the black hole becomes very small.
Conclusion[edit | edit source]
Quantum particle emission causes black holes to eventually evaporate away due to an underlying thermodynamic relationship between temperature, entropy, and surface gravity.
Key References[edit | edit source]
Hawking, Nature 248, 30 (1974) Hawking, Communications in Mathematical Physics 43, 199 (1975) Bekenstein, Physical Review D 7, 2333 (1973)
See original paper for full details and references.