Why quantum time?

Why quantum time?

A few years ago I was looking for an interpretation/formalism for quantum mechanics which would be manifestly symmetric between time and space. The first question I had was:

Is time already quantized?

Is time treated using the same quantum rules as space is? can quantum mechanics be written in a way which is manifestly covariant?
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The Block Universe

fmany of

‘Can a cube that does not last for any time at all, have a real

existence?’
Filby became pensive. ‘Clearly,’ the Time Traveller proceeded, ‘any
real body must have extension in _four_ directions: it must have
Length, Breadth, Thickness, and–Duration. But through a natural
infirmity of the flesh, which I will explain to you in a moment, we
incline to overlook this fact. There are really four dimensions,
three which we call the three planes of Space, and a fourth, Time.
There is, however, a tendency to draw an unreal distinction between
the former three dimensions and the latter, because it happens that
our consciousness moves intermittently in one direction along the
latter from the beginning to the end of our lives.’Clearest.

‘Clearly,’ the Time Traveller proceeded, ‘any real body must have extension in four directions: it must have Length, Breadth, Thickness, and–Duration. But through a natural infirmity of the flesh, which I will explain to you in a moment, we incline to overlook this fact. There are really four dimensions, three which we call the three planes of Space, and a fourth, Time. There is, however, a tendency to draw an unreal distinction between the former three dimensions and the latter, because it happens that our consciousness moves intermittently in one direction along the latter from the beginning to the end of our lives.’

– H. G. Well’s The Time Machine


This is still the best single explanation of the idea of the  “block universe”, though Well’s Time Traveller does not use that term. As Julian Barbour puts it his The End of Time: “The objective world simply is, it does not happen. Only to the gaze of my consciousness, crawling upward along the life line of my body, does a section of this world come to life as a fleeting image in space which continuously changes in time.”
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A Typology of Quantum Gravities – Followup on Quantum Gravity Panel

Catherine Asaro, Jay Wile, & I had a good crowd for our quantum gravity panel at Philcon: I was impressed that that many people (perhaps 40 or 50) wanted to hear about a relatively esoteric subject. Esoteric but hot: there are (right now) 663 papers on the physics archive with quantum gravity in the title, in just the last five years!
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The Large Hadron Collider — Followup

Paul Halpern‘s talk on The Large Hadron Collider at Philcon on 11/21/2009 came off well.  I’ve since had a chance to read his Collider: The Search for the World’s Smallest Particles since.  The talk was basically the book light or, if you prefer, the book is the talk heavy.   Good jobs either way.

Paul had  a lot of fun with the idea that someone (from the future) is maliciously trying to keep us pitiful humans from building a high energy collider; first the money difficulties the Superconducting Super-Collider had in Texas and then the explosion at the Large Hadron Collider.  But now that the LHC is in fact colliding (if not yet at full strength), perhaps the little blue men have given all this up as a bad job.
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References on Time & Time Travel

Updated 12/2/2009

Recommended popular books on time. All of the authors know their physics; none are mortal enemies of the English language.  Enjoy:
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Five Popular Talks

Over the last ten or fifteen years I’ve done a number of slide talks at Balticon, Philcon, & Farpoint, three local science fiction conventions. A number of these have been relatively heavy on the physics – within the context of a science fiction convention of course – and I thought it might be fun to post them. As Rod Sterling might have put it, presented for your consideration:
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How to Build a Time Machine — Talk this evening

This evening, Friday, November 21st at 7:00 pm,  David Goldberg & Jeff Blomquist, are doing a talk:

How to Build a Time Machine

This is at the Philadelphia Science Fiction Convention, in Cherry Hill, PA. Directions and so forth at www.philcon.org.
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The Large Hadron Collider – Talk Tomorrow

Followup post posted 12/2/2009.

Tomorrow, Saturday November 21st at 7:00 pm,  my friend Paul Halpern will be doing a talk based on his latest book, Collider: The Search for the World’s Smallest Particles:

the Large Hadron Collider

This is at the Philadelphia Science Fiction Convention, in Cherry Hill, PA. Directions and so forth at www.philcon.org.
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Towards a Theory of Quantum Gravity — Panel in Two Days

Followup post on 12/3/2009.

This coming Sunday, in two days, there will be a panel discussion with the topic:

Towards a Theory of Quantum Gravity
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Relativistic Morlet Wavelets

Wavelets are like musical notes: they are wave forms limited in both time and frequency. What makes them particularly useful is that any reasonable wave function may be written as a sum over them.

Usually we think of music in terms of pure tones, in terms of its Fourier components. But pure tones can be a bit too pure. For one thing, if a tone is to be completely pure it has to last forever, not a characteristic associated with practical questions. Wavelets are impure tones, and therefore a better match to the real world.
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