Friday, June 24, 2011

5. The Full Time Spectrum

 
THE FUTURE OF TIME
by Sean O'Donnell, Ph.D.


Few people doubt that our knowledge of time in the centuries to come, will be very different from what passes for temporal understanding nowadays.
To know where you may be going however, it helps to realise where you have been coming from.
In these articles I will therefore strive for systematic and simplified exploration, of all major sectors of time knowledge as currently known to science. I will not address relatively trivial matters such as more efficient time management. Instead I will seek greater comprehension, and hopefully consolidation, of time's larger mystery overall.
This project derives from “The Mystery of Time”, an AdultEd course conducted by me at the National University of Ireland Galway (NUIG) – 1988 to 2,000 AD.


5/ The Full Time Spectrum


SUMMARY
The Spectrum of Time, which might be more accurately termed a spectrum of durations, ranges from the very briefest to the very longest intervals that science knows. Its current boundaries are between 5x10-24 and 5x1017 in terms of seconds. But the second is really a wholly artificial unit derived from the limitations of human experience.
So it might be better to expression the spectrum in terms of the more basic chronon as currently understood. In which case the totality of temporal duration amounts to 10 41 chronons (i.e. 5x10 17 seconds divided by 5x10-24 seconds) in all.
Strangely too this number is close to the square root of the accepted figure for all atoms in the Universe. This may be just a statistical coincidence – or else an expression of matters quite totally beyond our comprehension at this stage.


When tackling some new scientific problem, it's wise at first to try and grasp it as a whole. One way of doing so is to form a spectrum - which is an array of similar entities, arranged in order of their magnitude. A spectrum is only possible if all its entities can all be measured in terms of a single basic unit. And for time the second provides this unit conveniently.
A useful model here is the complete spectrum of light, of which the rainbow provides a visible manifestation, though just a tiny part of the whole. With the metre as its basic unit of wavelength, the spectrum of light only started to clarify in the late nineteenth century. Then J.C. Maxwell discovered that all kinds of light are basically a form of electro-magnetism.
Thereafter the study of light could at last become a mature science, i.e. one with the natural facts organised into optimum order. And into its spectrum could soon be slotted many new forms of light, which were previously unimagined because they were invisible to human eyes: gamma rays, X-rays, microwaves, radio waves, etc..
This useful example also suggests, that to clarify a similar Spectrum of Time might be likewise profitable. As I first outlined in my book Future, Memory and Time (1997)1 , this would consist of a range of durations or intervals all laid out in proper sequence, ranged from the briefest to the largest that we know. Further these intervals are best expressed in terms of the second, already accepted as the basic time unit in physics and also familiar to people in their everyday affairs.
When this is done as below, the Spectrum of Time is then seen to divide into three major sectors. Micro-time, Middle-time (or what we may also term Personal-time) and Macro-time ascend in order from the very briefest to the very largest interval. The boundaries between them are of course dependent on the not-too-certain state of our knowledge in this year 2011; further there are certain sectors remaining to be filled in.
To view the Spectrum of Time all laid out in this way – no matter how tentatively as I've depicted below - can then bring our visual intelligence into play. For this depiction also highlights one great problem: current science assigns very different properties or implications to the temporal in Micro-, Middle-, and Macro-Time.
So that in unification or reconciliation, of these seemingly very different sectors, may lie the start of solution to time's problem overall.


MICRO-TIME: THE BRIEFEST INTERVALS
Micro-time describes the temporal realm of quantum physics, which concerns the very smallest manifestations of matter, space and time. This is a region where current understanding is generally agreed to be unsatisfactory, primarily because it all seems so weakly grounded in the reality of experience.
In quantum theory the very briefest possible interval is known as Planck Time – about 10-43 seconds in extent. If true, Planck Time must be the briefest possible expression of temporal duration – and so constitute the boundary of our Time Spectrum at the lesser end. But whether it is a true reflection of reality, and not just a mathematical construct produced by theory, seems best judged still unclear. Wherefore it seems wise to leave our Time Spectrum open at this lesser end – ready for expansion out to Planck Time if this is ever proven to be real.
Of more practical or less theoretical consequence here may be the chronon - a still hypothetical atom or indivisible unit of time. Its duration is easily calculated from common or everyday procedures, extending these out to the very limits of what is operationally possible.
Starting with everyday practice therefore, time can be defined as distance divided by velocity. For example if you drive your car over a distance of 80 miles at an average speed of 40 miles per hour, then the time for your journey is 2 hours.
Next we can extend this simple practice out to well proven physics limits of speed and distance. Here the fastest speed is that of light at 3x 108 metres per second (or 11 million miles per minute if you like). At the other end of nature the shortest distance we can consider operationally may be taken as the diameter of an electron at 3 x 10-15 metres, (or about one million billionth of a yard across.)
So the time for the fastest to cross the shortest, may therefore be the briefest interval possible.
Simple division then gives the duration of this chronon – the proposed atom or indivisible unit of time – at 10-23 seconds in extent. (Though when other special effects are taken into consideration, this value must be slightly modified.) Whence 10-23 seconds may currently form the practical boundary for our Time Spectrum at its briefer or lower end.
At this level also reality is thought to be indeterminate according to current Quantum Theory. This holds that there can be no possible way of predicting what an individual small particle like an electron will do next. For example the electron when moving may choose to veer left or right in direction; there seems no possible law of physics – even in principle – to decide which.
Such quantum indeterminism is in total contrast to classical determism at the other end of the Time Spectrum. The latter is the region where reliable and well proven laws of physics can always predict what large objects (say a speeding snooker ball) will do next.
So at what stage does quantum indeterminism for particles change over to classical determinism? Precisely when this fundamental process of change (which physicists call decoherence) may happen is still undecided, though values between 10-15 and 10-19 seconds are commonly suggested. But until this matter has been better clarified, it seems sensible to adopt 10-17 seconds as a likely average. So that durations of this order may constitute the longer boundary of micro-time.
PERSONAL OR MIDDLE-TIME
Much longer time intervals are of course involved with direct personal experience. Here we are limited to intervals of 10-2 (or perhaps 10-3) seconds at the briefer end: how fast we can perceive changes is governed by the rates at which our nerve cells can activate and communicate. And so the illusion of flowing movement in the cinema is produced by 24 slightly differing frames exhibited between 24 transmission breaks each second: we simply can't register or discriminate between changes at such brief intervals.
Technology however can now afford us indirect or secondary experience of much briefer events. For example slow-motion presentation from ultra-fast cameras can let us observe indirectly what happens as a bullet smashes through a window pane. And the fastest such cameras can now operate down to 10-12 seconds – which suggests we may soon be able to reach down to that curious quantum boundary of decoherence from the upper end.
Extending personal time capabilities in the other direction also clarifies that our maximum duration of direct experience must be limited to 100 years, or 3x 109 seconds at most. A a newborn baby may therefore live through just 3 billion seconds, and only if he or she lasts long enough to become a centenarian.
Further, if you combine this longest figure for total life with the briefest personal limit of 10-2 seconds, it must be that the maximum number of thoughts or obervations you can ever experience will be about one hundred billion (1011) at most. Though in practice of course this maximum number is likely to be far less.
Indirect personal experience can however stretch out far longer than the individual's lifetime. So that if for example we walk through the ruins of Pompeii, we can easily experience something of life 2,000 years ago
It therefore seems reasonable to delineate two further useful boundaries for the upper end of personal or Middle-time. One is the duration of recorded history – i.e. from the time when people first consciously began to deliberately leave records on their surrounding world. Currently this goes back to the first known forms of cave art in Southern France – animal paintings now dated to 30,000 years ago, or 1012 seconds in our terms.
But personal may even stretch back still further – to the emergence of the first proto-humans perhaps 3 million years ago. So that at 1014 seconds this must mark as the final upper boundary of personal or middle time.
Crucially too we humans are supposed to differ from animals in that we can exercise free will. If so we can always influence the otherwise immutable course of physical determinism in time. For example the physics of wind pressure may well predict that a forthcoming storm will blow down some ancient tree in your garden. But you are always free to negate this most likely temporal outcome and generate a less likely one. Simply by choosing a stout plank to prop up your tottering old tree!
In so much as we think that temporal outcomes are subject to intervention by free will, the personal region of Middle-time seems therefore crucially different, to those other two sectors on either side. But whether or not free will is really valid has long been a topic of debate among philosophers, aquestion which remains unsettled to this day...


MACRO-TIME: BACK TO THE BIG BANG
In any case humanity, with its two main boundaries for personal time experience, only arrived on the scene during the last 0.1% of time's totality: we only evolved during the last 4 kilometres of that 14,000 km journey as expressed on the Millimetre Scale (Blog 4). Long before us there extended vast aeons of what geologist John Hutton first termed 'deep time', but which seems more accurately termed Macro-time in spectrum terms. This stretches right back to the Big Bang birth of our Universe, some 14 billion years, or 5x 1017 seconds ago.
Such therefore must constitute the practical upper limit of our Time Spectrum, insofar as we are really only knowledgeable to some degree about time-past. Still we can leave the boundary at this end open, for expansion into larger regions of time-future eventually. But such can be only permissible whenever our knowledge of this unhappened sector becomes more firm or less speculative than it is now..
Macro-time too is thought to be totally determinate insofar as the laws of physics govern it totally. As such it contrasts with personal or Middle-time which seems to involve free will, and further with Micro-time as governed by quantum indeterminacy.
Again therefore to resolve or reconcile these differences is probably one of the main problems confronting any proposed new Science of Time..


THE SPECTRUM OF TIME
.......5x10-24 (sec)......
-16




-3



1010


12
14
....5x1017
(sec)
Chronon?

Decoherence?


:
Direct Perception
:
Art
Hominids
Big Bang

Micro-Time
:




:
Middle-Time
:

Macro-Time



Indeterminate?
:
De
ter
mi
na
te:
Free-will?
:

Determinate









































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