quantum fluctuations Archives

One of the interesting consequences of quantum theory is that particles can randomly appear in the cosmos, and if you wait long enough, conscious minds and maybe even whole new Universes. Welcome to the baffling concept of Boltzmann brains.

We blow minds here on Guide to Space.

All we want is for you to start watching, especially on a topic that you knew something about. And then you say “whoa…” when you realize the cosmic scope of an idea, like black holes, gamma ray bursts, or the Fermi Paradox.

Today, I think some kind of warning is in order. We’re going to blow your mind so thoroughly, that you’re going to be a hollowed out shell for the next few days. You’ll going to stumble around, glassy-eyed, in an almost catatonic state as you contemplate the humbling awesomeness of the Universe.

Let’s start with a familiar landscape, the implications of infinite time and space. The Universe might be infinite in space. Once you’re talking about infinity, a lot of strange ideas join the party over at Prismo’s.

Even if the Universe isn’t infinite in space it’ll most likely be infinite in time, expanding at an accelerating pace thanks to the leftover momentum from the Big Bang and dark energy. One way or another, there’s infinity in play. Thanks to quantum mechanics, the Universe is all about probabilities.

The air inside your living room is most likely going to remain evenly spaced, so you can breathe it and stay conscious. But there’s a teeny, tiny chance. A chance so small, that it’s not worth considering, that all the atoms of air in the room will spontaneously shift their position into one tiny corner, or maybe to the Andromeda Galaxy. The chances are small, it’ll practically never happen.

Once you’re dealing with forever, however, almost never, means sometimes always. You can imagine a situation, in an incomprehensible amount of time where quantum fluctuations spontaneously generate a hydrogen atom, floating in space, or perhaps a sperm whale or potted petunias.

We’re talking a seriously long amount of time. Long after all the stars have used up their hydrogen and died. Long after even the most supermassive black holes have evaporated away. If you could wait long enough, these quantum fluctuations would just pop things into existence.

One of the most compelling ideas is the concept of a Boltzmann Brain, named after the physicist Ludwig Boltzmann. It’s possible that entire, fully conscious minds could appear randomly in the cosmos. Keep rolling the dice for an infinite amount of time, and eventually, you’re going to get that Paladin with 18 charisma, 18 strength and a dreamy voice like Patrick Stewart.

The chances of this are 10 to the power of 10 to the power of 50. That’s a huge huge number. Trust me, you’re going to need more pencils to even write it out. Actually, you could turn every atom of the Universe into a pencil and it wouldn’t be enough.

Just imagine what it would be like to be that self-aware conscious entity that suddenly appeared floating in a completely empty cosmos, contemplating the mystery and wonder of all that vast nothingness. Perhaps it’s just a bunch of telepathic screaming because one thing this particular brain was missing was the ability to survive in a vacuum.

A binary star system Credit: Michael Osadciw/University of Rochester

Now, then imagine an entire planet, orbiting a sun-like star, filled with human beings and other life. Again, that number is even more incomprehensibly small, but it’s not zero. And so, in a Universe of infinite space, those things are popping up an infinite number of times, and in infinite time, it’ll happen an infinite number of times.

And now, I shall deliver the final mind bending blow. Imagine you took all the particles and energy in the entire Universe. All the protons, photons, neutrons and hadrons. There’s a tiny, tiny chance that all those particles could suddenly appear in an infinitely dense region of space, and undergo a rapid expansion.

In other words, it’s possible that another Big Bang could spontaneously appear in an infinite amount of time. How long? Physicist Sean Carroll has done the math. You’d just need to wait 10 to the power of 10 to the power of 10 to the power of 56 years for it to happen.

It’s a long time, but it’s not forever. So, in an infinite amount of time, you’ll get an infinite number of Big Bangs, spontaneously appearing in a finite Universe. Or an infinite number of Big Bangs happening all the time in an infinite Universe.

I’d drop my mic now, but it’s sort of clipped onto my shirt here. So imagine that’s what I just did.

Can’t wrap your mind around these ideas? Don’t worry, just wait a nearly infinite amount of time, and a better version of me will spontaneously appear to explain them a little better. Thanks infinity.

We love to bend minds here at the Guide to Space. What ideas should we talk about next? Post your suggestions in the comments!

Dr. Stephen Hawking delivered a disturbing theory in 1974 that claimed black holes evaporate. He said black holes are not absolutely black and cold but rather radiate energy and do not last forever. So-called “Hawking radiation” became one of the physicist’s most famous theoretical predictions. Now, 40 years later, a researcher has announced the creation of a simulation of Hawking radiation in a laboratory setting.

The possibility of a black hole came from Einstein’s theory of General Relativity. Karl Schwarzchild in 1916 was the first to realize the possibility of a gravitational singularity with a boundary surrounding it at which light or matter entering cannot escape.

This month, Jeff Steinhauer from the Technion – Israel Institute of Technology, describes in his paper, “Observation of self-amplifying Hawking radiation in an analogue black-hole laser” in the journal Nature, how he created an analogue event horizon using a substance cooled to near absolute zero and using lasers was able to detect the emission of Hawking radiation. Could this be the first valid evidence of the existence of Hawking radiation and consequently seal the fate of all black holes?

This is not the first attempt at creating a Hawking radiation analogue in a laboratory. In 2010, an analogue was created from a block of glass, a laser, mirrors and a chilled detector (Phys. Rev. Letter, Sept 2010); no smoke accompanied the mirrors. The ultra-short pulse of intense laser light passing through the glass induced a refractive index perturbation (RIP) which functioned as an event horizon. Light was seen emitting from the RIP. Nevertheless, the results by F. Belgiorno et al. remain controversial. More experiments were still warranted.

The latest attempt at replicating Hawking radiation by Steinhauer takes a more high tech approach. He creates a Bose-Einstein condensate, an exotic state of matter at very near absolute zero temperature. Boundaries created within the condensate functioned as an event horizon. However, before going into further details, let us take a step back and consider what Steinhauer and others are trying to replicate.

Artists illustrations of black holes are guided by descriptions given from theorists. There are many illustrations. A black hole has never been seen up close. However, to have Hawking radiation all the theatrics of accretion disks and matter being funneled off a companion star are unnecessary. One just needs a black hole in the darkness of space. (Illustration: public domain) — Artists illustrations of black holes are guided by descriptions given to them by theorists. There are many illustrations. A black hole has never been seen up close. However, to have Hawking radiation, all the theatrics of accretion disks and matter being funneled off a companion star are unnecessary. Just a black hole in the darkness of space will do. (Illustration: public domain)

The recipe for the making Hawking radiation begins with a black hole. Any size black hole will do. Hawking’s theory states that smaller black holes will more rapidly radiate than larger ones and in the absence of matter falling into them – accretion, will “evaporate” much faster. Giant black holes can take longer than a million times the present age of the Universe to evaporate by way of Hawking radiation. Like a tire with a slow leak, most black holes would get you to the nearest repair station.

So you have a black hole. It has an event horizon. This horizon is also known as the Schwarzchild radius; light or matter checking into the event horizon can never check out. Or so this was the accepted understanding until Dr. Hawking’s theory upended it. And outside the event horizon is ordinary space with some caveats; consider it with some spices added. At the event horizon the force of gravity from the black hole is so extreme that it induces and magnifies quantum effects.

All of space – within us and surrounding us to the ends of the Universe includes a quantum vacuum. Everywhere in space’s quantum vacuum, virtual particle pairs are appearing and disappearing; immediately annihilating each other on extremely short time scales. With the extreme conditions at the event horizon, virtual particle and anti-particles pairs, such as, an electron and positron, are materializing. The ones that appear close enough to an event horizon can have one or the other virtual particle zapped up by the black holes gravity leaving only one particle which consequently is now free to add to the radiation emanating from around the black hole; the radiation that as a whole is what astronomers can use to detect the presence of a black hole but not directly observe it. It is the unpairing of virtual particles by the black hole at its event horizon that causes the Hawking radiation which by itself represents a net loss of mass from the black hole.

So why don’t astronomers just search in space for Hawking radiation? The problem is that the radiation is very weak and is overwhelmed by radiation produced by many other physical processes surrounding the black hole with an accretion disk. The radiation is drowned out by the chorus of energetic processes. So the most immediate possibility is to replicate Hawking radiation by using an analogue. While Hawking radiation is weak in comparison to the mass and energy of a black hole, the radiation has essentially all the time in the Universe to chip away at its parent body.

This is where the convergence of the growing understanding of black holes led to Dr. Hawking’s seminal work. Theorists including Hawking realized that despite the Quantum and Gravitational theory that is necessary to describe a black hole, black holes also behave like black bodies. They are governed by thermodynamics and are slaves to entropy. The production of Hawking radiation can be characterized as a thermodynamic process and this is what leads us back to the experimentalists. Other thermodynamic processes could be used to replicate the emission of this type of radiation.

Using the Bose-Einstein condensate in a vessel, Steinhauer directed laser beams into the delicate condensate to create an event horizon. Furthermore, his experiment creates sound waves that become trapped between two boundaries that define the event horizon. Steinhauer found that the sound waves at his analogue event horizon were amplified as happens to light in a common laser cavity but also as predicted by Dr. Hawking’s theory of black holes. Light escapes from the laser present at the analogue event horizon. Steinhauer explains that this escaping light represents the long sought Hawking radiation.

Publication of this work in Nature underwent considerable peer review to be accepted but that alone does not validate his findings. Steinhauer’s work will now withstand even greater scrutiny. Others will attempt to duplicate his work. His lab setup is an analogue and it remains to be verified that what he is observing truly represents Hawking radiation.

References:

“Observation of self-amplifying Hawking radiation in an analogue black-hole laser“, Nature Physics, 12 October 2014

“Hawking Radiation from Ultrashort Laser Pulse Filaments”, F. Belgiorno, et al., Phys. Rev. Letter, Sept 2010

“Black hole explosions?”, S. W. Hawking, et al., Nature, 01 March 1974

“The Quantum Mechanics of Black Holes”, S. W. Hawking, Scientific American, January 1977

Tag: quantum fluctuations

Will Minds Appear in the Cosmos?

Hawking Radiation Replicated in a Laboratory?