Monday, March 5, 2012

Can Black Holes Evaporate? Part Two

While there is a constant transfer of matter and radiant electromagnetic energy (photons) between bodies throughout the cosmos, there are sinks, ultimate final resting places where matter/energy can retire to and be removed from the rest of the cosmos. These cosmic sinks are Black Holes. But is that retirement permanent, or can stuff re-enter the cosmic workforce? Can Black Holes evaporate? The theoretical short answer is “yes”; the long answer is “no”.

Continued from yesterday’s blog…

Now what about a Black Hole? Clearly a Black Hole isn’t isolated from the rest of the cosmos and objects therein. If you were just outside the event horizon you’d ‘see’ photons (of all wavelengths) because you’d see stars and galaxies, etc. just like you can locally. Neutrinos would still pass right through you on their way to their doom once passing through the event horizon. The Universe is full of interstellar and intergalactic atoms and molecules and dust and of course lots of larger stuff a Black Hole can snack on. Black Holes will sweep up stuff just like Earth does, only more so since it has more gravity with which to grab hold of stuff with, and also because once caught there’s no escape for the cosmic fish. Unlike Earth, everything that crosses that event horizon, that hits the Black Hole, won’t be reflected back (like photons). Neutrinos that can pass through light-years worth of solid lead without even ‘breathing hard’ will be imprisoned when they try that trick in a Black Hole’s inner sanctum. And of course atoms, molecules, interstellar dust, the big chunks will also get imprisoned. 

But we can imagine an idealized cosmos where all Black Holes have swallowed up all existing radiated particles (photons), all the atoms,  molecules, the dust and all the bigger stuff – all those stars and planets; asteroids and comets; even all that mysterious ‘dark matter’. So you have a cosmos of just Black Holes and the vacuum energy (well maybe a few bits and pieces escaped, but so few to be of no consequence).  Of course there is one further logical extension. Black Holes can swallow other Black Holes. Black Holes can merge to form bigger Black Holes. The final product is that the cosmos consists of one Black Hole – the Mother of all Black Holes – plus the vacuum energy!  So you end up with one Black Hole left standing with nothing left to eat.

Okay, so the only scenario now possible is that this Mother of all Black Holes evaporates via Hawking radiation. It might take trillions upon trillions upon trillions of years, but evaporate it does. Since matter and energy can neither be created nor destroyed, once the Mother of Black Holes has finally gone ‘poof’, the Universe is right back where it started from – full of stuff from photons to fundamental particles which them undergo chemistry to form atoms and molecules and stars and planets and perhaps life – and new Black Holes!

Perhaps this is a new and improved version of a cyclic/oscillating universe! - But then again, maybe not. There’s a fly in that ointment (but I had you going for a while back there!). That “idealized cosmos” was only a ‘what if’ thought experiment.

Firstly, it’s actually very, very unlikely all the Black Holes in the Universe will ever merge together as long as the Universe keeps expanding. Since the galaxies are getting farther and farther away from each other due to that expansion, the collection of Black Holes contained within each galaxy keep getting further and further apart from other clusters of Black Holes contained within other galaxies. It’s like the passengers in one car get more and more remote from the passengers in another car when each car is going at different velocities and heading in different directions.

Now the collection of all Black Holes in any one galaxy could well coalesce into one super Black Hole galaxy. You have a galaxy that instead of containing billions and billions of stars and debris and particles now consists of just one Black Hole – the car only has one occupant. You have a pure Black Hole galaxy, or a galactic sized Black Hole. 

One might end up with a Universe composed of just these pure Black Hole galaxies, all spreading farther and farther apart over time. 

But secondly, there’s another fly in the ointment. All the space that separates these pure Black Hole galaxies from each other isn’t a perfect vacuum, quite apart from the vacuum energy. All the radiating stars and stuff may have been gobbled up within each galaxy, but all of interplanetary space, all of interstellar space, and all of intergalactic space, isn’t pure vacuum. There’s still the ‘it’s everywhere, it’s everywhere’ Cosmic Microwave Background Radiation (CMBR).

So what’s this CMBR?  If you have a massive hot explosion (like the Big Bang event is alleged to have been), and all that heat energy expands and expands, then you’d expect the temperature of the area occupied by that energy to drop, the temperature ever decreasing as the volume that finite amount of energy occupies increases. As the energy expands it gets diluted and thus cools, but can never reach an absolute zero temperature for reasons already noted. And that’s just what we find on a universal scale. There’s a fine microwave energy “hiss” representing a temperature a few degrees above absolute zero that’s absolutely everywhere in the cosmos. That’s the diluted heat energy of the very hot Big Bang – well it has been a long time since the Big Bang event (13.7 billion years worth of time) and that energy is now spread throughout a lot of cosmic volume. That microwave “hiss”, called the CMBR, was predicted way before it was discovered. There’s no doubt that it exists.

Since the CMBR is just photons with very long wavelengths, Black Holes could suck up the CMBR photons as easily as light photons. Removal of CMRB photons, already representing a temperature just slightly about the theoretical minimum – absolute zero – would mean the Universe gets even colder, which it would anyway since the Universe is ever expanding and thus available electromagnetic energy (photons) is ever diluting. Combining the two effects and the Universe is a chilly place indeed and will get even colder.

However, it’s probably not possible for Black Holes collectively to swallow up all of the CMBR since there will come a point of diminishing returns. What happens when the temperature of Black Holes equals the temperature of the Universe at large – the CMBR? The answer is thermal equilibrium like when your hot cup of coffee cools off to room temperature. Input into Black Holes from the CMBR will equal output via Hawking radiation. For every photon emitted via Hawking radiation, a CMBR photon gets sucked in. What does that mean? It means a Black Hole can not evaporate.

What about very tiny (micro) Black Holes that are relatively ‘hot’? Might they go ‘poof’ before thermal equilibrium is achieved? Will the contents of the Black Hole evaporate into the surrounding cosmos before they can equate to the surrounding temperature? The analogy might be like a hot drop of water could evaporate into the cold atmosphere before the liquid water drop can attain the temperature of its surrounding environment.
Even so, I still imagine that in the current matter and radiation dominated Universe, incoming would still exceed outgoing.

Of course if you could take a Black Hole, isolate and shield it from the rest of the cosmos and all that it contains, so all you have is the Black Hole and its internal energy (including the all pervading vacuum energy therein). An isolated Black Hole would be in a setting equivalent to putting it into an absolute zero temperature environment. If that’s the case then outgoing would exceed incoming since there could be no incoming, and therefore that Black Hole would then radiate and slowly evaporate and eventually go ‘poof’. BUT, and there’s always a BUT, I can not envision any scenario where a Black Hole can exist in such a theoretical isolation. So, Professor Hawking is quite correct – in theory. In practice, in the here and now, input exceeds Hawking radiation output, and even in the unimaginably far distant future equilibrium will be established where input equals output. 

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