Do black holes violate conservation laws?

In summary: This has led to the 'information loss paradox' where it is thought that most of the information in the universe is lost as the black hole evaporates. However, recent work by Hawking and others has shown that much of this information is actually stored in the black hole itself...like the supermassive BH at the heart of virtually all galaxies.
  • #1
Radarithm
Gold Member
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I was arguing today with a friend and the argument seemed pretty pointless because we had nothing to back up our facts with, so I thought about hearing your opinion(s). Do black holes violate laws such as the conservation of matter + conservation of energy? I'm currently leaning towards 'yes'. What do you guys think?
 
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  • #2
Not at all. First, there is no such thing as the "conservation of matter". Matter can be destroyed and created, and in fact this happens all day every day at various particle colliders around the world.

The real conservation laws, such as conservation of energy and conservation of mass, are not violated by a black hole. Matter and light that passes past the event horizon simply adds to the black hole's mass. The total energy and mass of the system (the black hole and the surrounding universe) is unaffected.
 
  • #3
You should read The Black Hole War written by Leonard Susskind.
 
  • #4
Drakkith said:
Not at all. First, there is no such thing as the "conservation of matter". Matter can be destroyed and created, and in fact this happens all day every day.

This might be a misleading statement Drakkith. I wouldn't say destroyed, but rather transformed.

As for being created, I have absolutely no idea how you could create matter(Especially from raw energy).

http://en.wikipedia.org/wiki/Conservation_of_mass
 
  • #5
Radarithm said:
I was arguing today with a friend and the argument seemed pretty pointless because we had nothing to back up our facts with, so I thought about hearing your opinion(s). Do black holes violate laws such as the conservation of matter + conservation of energy? I'm currently leaning towards 'yes'. What do you guys think?

There's no such thing as "conservation of matter", but there is conservation of mass-energy and neither that nor any other conservation laws are violated by black holes.

You drop something onto a black hole, you can't get it back out, but that doesn't mean it's not conserved. If I drop a penny into the deep ocean, it's gone forever - but that doesn't mean that a penny has been destroyed so there's one fewer penny in the world, it means that one of the pennies that had been in my pocket is now on the bottom of the ocean.
 
  • #6
MightyKaykoher said:
This might be a misleading statement Drakkith. I wouldn't say destroyed, but rather transformed.

As for being created, I have absolutely no idea how you could create matter(Especially from raw energy).

http://en.wikipedia.org/wiki/Conservation_of_mass

Matter is created all the time from 'raw energy': an energetic photon passing near a charge readily produces particle-antiparticle pairs, which I always thought were matter.
 
  • #7
MightyKaykoher said:
This might be a misleading statement Drakkith. I wouldn't say destroyed, but rather transformed.

Take the annihilation of an electron and a positron into two gamma ray photons. The matter and antimatter no longer exists. That's pretty much the definition of "destroyed".

As for being created, I have absolutely no idea how you could create matter(Especially from raw energy).

Easy. Collide particles at a very high speed and watch as both matter and antimatter are created from the kinetic energy.
 
  • #8
There is a law which is violated in a semi-classical calculation by Hawking describing black hole evaporation. The law is the unitary evolution of the quantum wave function. This indicates that our understanding of quantum gravity is incomplete. Some have also suggested, including Hawking, that it may be that quantum mechanics itself fails.
 
  • #9
PAllen said:
Matter is created all the time from 'raw energy': an energetic photon passing near a charge readily produces particle-antiparticle pairs, which I always thought were matter.

It is true that it is considered matter, closest thing to energy that IS matter is a Subatomic particle.
 
  • #10
Nova said:
It is true that it is considered matter, closest thing to energy that IS matter is a Subatomic particle.

Energy is a property of objects and systems of objects. A particle is no closer to being energy as it is closer to being momentum or velocity.
 
  • #11
THE BLACK HOLE WAR BY Leonard Susskind is a non mathematical discussion of black holes.

BLACK HOLES AND TIME WARPS BY Kip Thorne is a bit more technical, traditional and comprehensive...very detailed; very little math. It's 99% black holes and 1% time warps...


atyy
There is a law which is violated in a semi-classical calculation by Hawking describing black hole evaporation. The law is the unitary evolution of the quantum wave function.

I thought Hawking conceded to Susskind that Susskind was correct. Is there a source you can recommend so I can read more??


The major 'conservation law' that was thought to be violated was the 'conservation of information' or the 'Information Loss Paradox' of black Holes. It turns out that most of the information of the universe resides in BH!...like the supermassive BH at the heart of virtually all galaxies...

What happens to information that 'disappears' into a black hole [BH]? Is it 'lost'?

Susskind's work...
Briefly, Unruh showed that thermal and quantum jitters get mixed up in an odd way. Susskind following d'Hooft's early work showed the information is encoded in subsequent Hawking radiation.

Bits [information] is displayed on the stretched horizon, and later recovered even though a ‘copy’ is headed toward the singularity…Could someone grab the bit, jump in the BH and duplicate the information. No: the infalling bit arrives at the singularity in a finite, relatively short time. To recover even a single bit from the horizon, from outside, would supposedly take 1068 Years..a vastly longer period than the current age of the universe…to be recovered. [Don Page did this work.] [pg 264]

An interesting view Susskind offers from string theory: long strings on the stretched horizon are subject to quantum jitters...and as a segment of string is bumped off, it is emitted as Hawking radiation... in which BH information is scrambled/encoded.


You can read summaries and other 'solutions' of the 'paradox' here:
http://en.wikipedia.org/wiki/Information_loss_paradox
http://en.wikipedia.org/wiki/Holographic_principle
 
  • #12
A particle is no closer to being energy as it is closer to being momentum or velocity.

and is extremely close to all three! [maybe not velocity so much...]

Viewing a particle as 'energy' is the QM view of the world we observe.

In the QM view of the world, local quantum excitations [energy] of underlying [vacuum] quantum fields ARE particles. There is some debate in these forums as to whether particles or fields are more real. [see linked discussion below.] I like particles because that's what we detect.

From a string theory perspective, the dimensional [11 of them] characteristics of spacetime constrain field [particle] fluctuations in different ways. So, for example a highly energetic particle is heavy. In a cosmological setting, right after the big bang, quantum fluctuations in the inflationary vacuum become quanta [particles] at super horizon scales.

But considerable ambiguity about just what a particle 'is' remains.

Good discussion here:
What is a particle:
https://www.physicsforums.com/showthread.php?t=386051
 
  • #13
energy = matter at the rate of c squared e=mc2 correct or am i missing something or matter = energy at the rate of square root of c ( interchangeable )
 
  • #14
JeremyPeel said:
energy = matter at the rate of c squared e=mc2 correct or am i missing something or matter = energy at the rate of square root of c ( interchangeable )

The M in E=MC2 stands for mass, not matter.
 
  • #15
I was wrong thanks for correcting me. Replace matter with mass and it is correct the way i said it?
 
  • #16
JeremyPeel said:
I was wrong thanks for correcting me. Replace matter with mass and it is correct the way i said it?

Not really. There is no "rate" in the equation, only 2 variables and a constant. The equation means that the energy content of an object is equal to its mass times the speed of light squared.

It also means that energy has mass. The mass of an object is equal to its energy content divided by the speed of light squared.
 
  • #17
The correct answer is that black holes in general violate conservation laws associated with global symmetries. So for instance, baryon and lepton number are likely not conserved in general.

Charges that are associated with long range gauge fields, like electric charge, however will stay conserved as this follows from generalizations from the no hair theorem..

It is likely that a correct theory of black holes will conserve unitarity as well.
 
  • #18
Radarithm said:
I was arguing today with a friend and the argument seemed pretty pointless because we had nothing to back up our facts with, so I thought about hearing your opinion(s). Do black holes violate laws such as the conservation of matter + conservation of energy? I'm currently leaning towards 'yes'. What do you guys think?

You might also want to take a look at black hole thermodynamics which are synonymous with the four laws of thermodynamics including the first law, conservation of energy.
 
  • #19
And energy is not a conserved quantity in General Relativity, but the Energy-momentum tensor is conserved locally.
 
  • #20
Drakkith said:
Take the annihilation of an electron and a positron into two gamma ray photons. The matter and antimatter no longer exists. That's pretty much the definition of "destroyed".



Easy. Collide particles at a very high speed and watch as both matter and antimatter are created from the kinetic energy.


... I don't see any function of creation only equivalence. I thought they were converted or transformed to 2 gamma rays?
 
  • #21
julcab12 said:
... I don't see any function of creation only equivalence. I thought they were converted or transformed to 2 gamma rays?

I don't follow. If the two particles are quite literally gone, possible for good, how is that not destroyed?
 
  • #22
julcab12 said:
... I don't see any function of creation only equivalence. I thought they were converted or transformed to 2 gamma rays?

The gamma rays have no mass, whereas the electron and positron did. I repeat Drakkith's question. How is that not destroyed?
 
  • #23
Drakkith said:
I don't follow. If the two particles are quite literally gone, possible for good, how is that not destroyed?

... Perhaps not totally or probably a question of terminology bec of the inelastic view on collision of matter-antimatter which is ambiguous to destroyed or what most physicist are fond of--annihilate^^. BTW I'm not saying it is wrong. Reading a bit of QFT would suggest some sort of interaction. Anyways. In some variation of annihilation. Usually everything cancels (mass) with few exceptions and energy--momentum is conserved e.g Muon-electron, Moun-photon, Electron-photon and conditional case of electron to muon.

http://voyager.egglescliffe.org.uk/physics/particles/parts/parts1.html
 
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  • #24
This seems liking nothing more than arguing over what words mean, so I think I'll bow out now.
 
  • #25
Drakkith said:
This seems liking nothing more than arguing over what words mean, so I think I'll bow out now.

... Well. The aim is not just arguing. A mild elaboration of the word analogous to the subject will greatly help us layman eliminate unnecessary complications since the actual physics is robust and prone to misconception. Cheers anyway!
 

1. Do black holes violate the law of conservation of mass?

No, black holes do not violate the law of conservation of mass. The mass of a black hole is the same as the mass of the star that collapsed to form it. However, the mass of a black hole cannot be measured by traditional means because it is not visible.

2. Do black holes violate the law of conservation of energy?

No, black holes do not violate the law of conservation of energy. The energy of a black hole is equal to the energy of the matter that falls into it. While it may seem like energy is disappearing into the black hole, it is actually being converted into the energy of the black hole's gravity.

3. Can matter escape from a black hole, violating the law of conservation of energy?

No, matter cannot escape from a black hole. The gravity of a black hole is so strong that not even light can escape, making it impossible for matter to escape. Therefore, the law of conservation of energy is not violated as the energy of the matter is still contained within the black hole.

4. Do black holes violate the law of conservation of angular momentum?

No, black holes do not violate the law of conservation of angular momentum. As a black hole forms, it preserves the angular momentum of the star that collapsed to form it. The rotation of the black hole is a result of this preserved angular momentum.

5. Can black holes violate the law of conservation of charge?

No, black holes do not violate the law of conservation of charge. Just like the mass and energy of a black hole, its charge is also conserved. Any charged particles that enter a black hole will contribute to the overall charge of the black hole.

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