Showing posts with label arrow of time. Show all posts
Showing posts with label arrow of time. Show all posts

Sunday, June 7, 2009

Time: Can time flow backwards in quantum physics?

In a Viewpoint article, "Weak measurements just got stronger", for This Week in Physics ( April 27, 2009) Sandu Popescu, Physics 2, 32 (2009) In the weird world of quantum mechanics, looking at time flowing backwards allows us to look forward to precision measurements:
In 1964 when Yakir Aharonov, Peter Bergman, and Joel Lebowitz started to think seriously about the issue of the arrow of time in quantum mechanics [1]—whether time only flows from the past to the future or also from the future to the past—none of them could have possibly imagined that their esoteric quest would one day lead to one of the most powerful amplification methods in physics. But in the weird, unpredictable, yet wonderful way in which physics works, one is a direct, logical, consequence of the other. As reported in Physical Review Letters by P. Ben Dixon, David J. Starling, Andrew N. Jordan, and John C. Howell at the University of Rochester this amplification method makes it possible to measure angles of a few hundred femtoradians and displacements of 20 femtometers, about the size of an atomic nucleus [2].
[ ... ]
Viewed from one angle, this story is all about fundamental philosophical ideas. Does the spin indeed have a value larger than 1/2 or is the result simply an error in the imprecise measuring device used? Does the spin indeed have both the x spin component and the z one well defined? And, above all, does time indeed flow in two directions in quantum mechanics? To be sure, the strange outcome of the measurement of Sπ/4 in this pre- and post-selected ensemble could indeed be obtained as an error in the measurement, an error in which the pointer of the measuring apparatus moved more than it should have. The explanation can be fully given by standard quantum mechanics, involving regular past-to-future-only flow of time. But the explanation is cumbersome and involves very intricate interference effects in the measuring device. Assuming that time flows in two directions tremendously simplifies the problem. As far as I can tell, Aharonov, Albert, and Vaidman hold the view that one should indeed accept this strange flow of time. I fully agree. Not everybody agrees though, and this is one of the most profound controversies in quantum mechanics.Viewed from one angle, this story is all about fundamental philosophical ideas. Does the spin indeed have a value larger than 1/2 or is the result simply an error in the imprecise measuring device used? Does the spin indeed have both the x spin component and the z one well defined? And, above all, does time indeed flow in two directions in quantum mechanics? To be sure, the strange outcome of the measurement of Sπ/4 in this pre- and post-selected ensemble could indeed be obtained as an error in the measurement, an error in which the pointer of the measuring apparatus moved more than it should have. The explanation can be fully given by standard quantum mechanics, involving regular past-to-future-only flow of time. But the explanation is cumbersome and involves very intricate interference effects in the measuring device. Assuming that time flows in two directions tremendously simplifies the problem. As far as I can tell, Aharonov, Albert, and Vaidman hold the view that one should indeed accept this strange flow of time. I fully agree. Not everybody agrees though, and this is one of the most profound controversies in quantum mechanics.

Sunday, June 8, 2008

Hints of a time before the big bang? Or of reaching for a story?

Does our universe contain hints of a time before the Big Bang?, based on the cosmic microwave background?:
Although this microwave background is mostly smooth, the Cobe satellite in 1992 discovered small fluctuations that were believed to be the seeds from which the galaxy clusters we see in today's Universe grew.

Dr Adrienne Erickcek, and colleagues from the California Institute for Technology (Caltech), now believes these fluctuations contain hints that our Universe "bubbled off" from a previous one.

Their data comes from Nasa's Wilkinson Microwave Anisotropy Probe (WMAP), which has been studying the CMB since its launch in 2001.
Apparently, on one side of the sky, the cosmic microwave background fluctuations are 10% stronger than on the other.
Sean Carroll conceded that this might just be a coincidence, but pointed out that a natural explanation for this discrepancy would be if it represented a structure inherited from our universe's parent.
The problem to solve, according to the BBC News article, "Hints of 'time before Big Bang" by Chris Lintott (Co-presenter, BBC Sky At Night, St Louis, US) is the fact that time runs in only one direction - forward - but other forces in nature can be reversed. Conventionally, the second law of thermodynamics is held responsible. But, says Prof. Sean Carroll (California Institute of Technology), cosmologists should broaden their horizons.

An American physicist friend insists that this is all "horse puckey", and I suspect he is right. Any time something can be reasonably explained as just "a coincidence", one might perhaps best explain it that way.

Saturday, May 24, 2008

Does time's one-way street prove that other universes exist?

In a recent article in Scientific American, "Does the arrow of time run backward in other universes?" (May 21, 2008), Sean M. Carroll proposed that the multiverse may explain why time only runs forward, never backward, a puzzle that clearly irritates him and other cosmologists:
The universe does not look right. That may seem like a strange thing to say, given that cosmologists have very little standard for comparison. How do we know what the universe is supposed to look like? Nevertheless, over the years we have developed a strong intuition for what counts as "natural"-and the universe we see does not qualify.
So ...
If the observable universe were all that existed, it would be nearly impossible to account for the arrow of time in a natural way. But if the universe around us is a tiny piece of a much larger picture, new possibilities present themselves. We can conceive of our bit of universe as just one piece of the puzzle, part of the tendency of the larger system to increase its entropy without limit in the very far past and the very far future. To paraphrase physicist Edward Tryon, the big bang is easier to understand if it is not the beginning of everything but just one of those things that happens from time to time.

One does not need to be a cosmologist to sense the difficulty with this form of reasoning. If we have only one example of a popkin, without any basis for comparison to another popkin - that is known to actually exist - it is difficult to justify the intuition that the popkin doesn't "look right."

If we inflate our intuition that the popkin doesn't look right into an argument for the existence of Popkin World - most of whose popkins look different - it is a tribute to our imagination. But only evidence would make such a proposition real. And then we must be careful that we are not seeing only what we believe.

Carroll identifies some problems with the concept of an inflationary early universe:
The inflationary paradigm has been very successful in many ways. Its predictions of slight deviations from perfect uniformity agree with observations of density variations in the universe. As an explanation for time asymmetry, however, cosmologists increasingly consider it a bit of a cheat, for reasons that Roger Penrose of the University of Oxford and others have emphasized. For the process to work as desired, the ultradense dark energy had to begin in a very specific configuration. In fact, its entropy had to be fantastically smaller than the entropy of the hot, dense gas into which it decayed. That implies inflation has not really solved anything: it “explains” a state of unusually low entropy (a hot, dense, uniform gas) by invoking a prior state of even lower entropy (a smooth patch of space dominated by ultradense dark energy). It simply pushes the puzzle back a step: Why did inflation ever happen?
So the problem commonly called fine-tuning (here called "a very specific configuration") remains.

Note: A popkin? Well, if you know what it is, you are doing better than me.

I tried to explain the concept of time running backwards to some kids a while back, via a jingle, here.

The Day Time Went Backwards

Kitty broke the teapot,

She knocked it off the sill;

Stacey found the pieces just

As time stood still.


Time rolled backwards;

The teapot gathered up

And fit itself together

And poured itself a cup.


Weeks run backwards

But the strangest thing we saw

Is, Kitty’s just a kitten now,

A-wailing for her ma.
(c) Denyse O'Leary 2000