Addressing the Observable Universe

Developments in microprocessor technology have seen address buses increase in width from 8 to 16, 24, 32, to 64 bits. IPv6 uses 128 bits to address network nodes – but how many bits does it take to address the universe?

To address the universe, we need to be able to specify four dimensions 1) a point in time since the beginning of the known universe and 2) a 3-D point in space.

Lets take a point of time as having the duration of a Planck Time. One second is about 1.9×1043 Planck times.

The age of the known universe is approximately 13.7 billion years or 8 x 1060 Planck Times. This number is in the order of 2203 so we will need 203 bits to specify a point in time since the beginning of the known universe.

Lets take points in space as having dimensions of the Planck Length. There are approximately 1.6 × 1035 Planck Lengths in a metre, and 1.51×1051 Planck Lengths in a Light Year.

The radius of the observable universe is approximately 46.5 billion light-years or 7.04×1061 Planck Lengths. This gives a volume of the observable universe of 4.65×10185 Cubic Planck Lengths. This number is in the same order as 2617 and so we need 617 bits to specify a point in the observable universe.

Taking the time and space dimensions together we need 820 bits to specify a unique point in space at a unique point in time.

[[Update: I just noticed that the Age of the Universe in Planck Times (8 x 1060) and the Radius of the Universe in Planck Lengths (7.04×1061) are almost identical. I bet this is no coincidence!]]

Factoid
The number 2820 is also a generous upper bound on the number of computer instructions that could possibly have been performed since the beginning of the known universe. How so? If we assume that every Cubic Planck Length in the universe contains a computing element that performs one instruction every Planck Time then the number of instructions processed would be 2203 Planck Times * 2617 computing elements = 2820 Instructions performed.

Another Factoid
This is a random pattern of 841 bits generated courtesy of random.org . If my calculations above are correct, then there are more variations of this pattern than there have been unique points in space and time!

  • BTW this means that only a minute fraction of the possible combinations of 841 bits have ever existed in all the Petabytes of data generated by the Googleplex and all the rest of the computers in the world!
  • It also means that unless this pattern is saved it will never ever be seen again by any observer wholly inside the observable universe.

Prediction: Web-scale Related-word Tag Cloud Service

As a learner who uses the web regularly for research – I could really use a web-scale related-words tag cloud service.

If you know of such a service, please leave a comment below! If there is no such service, i am going to go out on a limb and predict that it will be publicly available in the next year or so, say by, December 2009!

As an example of a Word Cloud, here is a word cloud created by makecloud.com of all words in the RSS feed of ReadWriteWeb:

Imagine if we could enter a keyword and then view a tag cloud of words from pages that contain the keyword. Related terms (synonyms, antonyms, sub topics, super topics) would be revealed because they are used together in documents on the web. If you know of such a service, please do post a comment!

WordPress is as smooth as …

Just updated WordPress driving this blog to 2.3.3. Very pleasantly surprised. The update went exactly as the upgrade advice said!

Will your government help you be healthy?

I wonder – according to recent research healthy people are more expensive for governments!

Are you a “Real Aussie”?

The SMH gave us a good test of our Aussieness a few weeks ago.

2007 SAT1 percentiles confirm inadaquacies in UAC process

The College Board has released the 2007 SAT1 composite percentiles. The percentiles are very close to those of 2006 and my report of the inadaquacies in UAC’s conversion of SAT1+AP into a UAI is confirmed.

Blood Test for Repetitive Stress

See the story at here

Structures (or why things don’t fall down)

J.E. Gordon’s book is a great read. Did you know that arches are so popular because they have to break in 4 places before they will fall down? Amazing factoids and insights for the lay person abound in this book. The technical details occasionally got a bit heavy.

The book comes to this wonderful conclusion:

Is it not fair to ask the technologist, not Only to provide artefacts that work, but also to provide beauty, even in the common street, and above all to provide fun? Otherwise technology will die of boredom. Let us have lots of ornament. … Since we have created a whole menagerie full of new artefacts, … , let us sit down and think what fun we can have in devising new kinds of decorations for them.

I did not expect to find an explanation of the success of Web 2.0 websites in a book on constructions. It was fun to realise that Web 2.0, like successful architecture owes much to skiamorphs, fakes and ornaments!

Human-Built World

Thomas P. Hughes “Human-Build World – How to think about technology and culture” compares and contrasts current optimism about the Internet, gadgets and technology with human attitudes to earlier generations of technology. Technology has a much longer history than the popular mind may be aware! A great read for anyone responsible for implementing technology. The book shows that our current rush to technology is part of a picture that has been being drawn for a long time.

Rise of Open Source

The rise of credible Open Source alternatives to entrenched commercial software continues. Today I uninstalled Winzip that I paid for a couple of years ago in favour of 7-zip. For me 7-zips ability to handle files with Russian and Kazakh language names was the deciding factor. Sorry Winzip. Go team 7-zip.

The meaning of life

Last night, I happened across the website of a recent book “Making Meaning: How Successful Companies Deliver Meaningful Experiences”, which is a guide for corporations on how to gain customer loyalty by delivering meaningful experiences. It seems that many companies are trying to become a source of meaning in our lives. They believe that if they can succeed that we will come back for more of the experience that they deliver and purchase more of their produce or service.

The authors, through extensive sociological research, have identified 15 key meanings that people around the world value. Your experience of these meanings is being targetted by people who want to sell you something. Here they are (listed in alphabetical order)

  • Accomplishment
  • Beauty
  • Community
  • Creation
  • Duty
  • Enlightenment
  • Freedom
  • Harmony
  • Justice
  • Oneness
  • Redemption
  • Security
  • Truth
  • Validation
  • Wonder

This is an extraordinary list covering meanings that are more usually linked to religions, cultures, political parties and social movements. What is the long term impact of the commercialisation and commoditisation of our experience of these human meanings?

Rethinking retirement financial goals

I was born in 1961 and so I am right on the tail end of the Baby Boomer Generation. I have got the Australian Government’s message! I know that superannuation and saving for retirement is now more of an imperative than it was in the past. Unfortunately, the full meaning of this has remained elusive to me. How much money do you need to retire? Over the years I have tried to figure out the net worth required at retirement to fund a pleasant and useful retirement. It is always a large, seemingly unattainable number. As well, the uncertainty surrounding future cost of living, effective returns on investments, taxes and government pensions definitely muddies the water for me.

Net worth at retirement includes the value of properties (less outstanding mortgages), superannuation fund balances, shares, cash and ownership of businesses and other assets.

The other day I realised that a retirement goal could be framed in such a way that we do not need to see into future. I realised that Australian’s could aim to retire with an average Australian net worth (or to retire with a top 40% Net Worth, for example …). Framing a retirement goal this way allows us to check progress towards this goal, by comparing ourselves with others at our stage of life!

On April 26th, this year, the Australian Bureau of Statistics (ABS) released the latest information on this very subject. The ABS released 6554.0 – Household Wealth and Wealth Distribution, Australia, 2003-04 which among other things provides us with the following data about the average wealth of Australian households at different stages in our life:

Life Stage Average Household Net Worth 2003-04
Single, <35years A$94,000
Couple+Kids<5yrs A$366,000
Couple+Kids<14yrs A$469,000
Couple+Kids<24yrs A$685,000
Couple <65yrs A$895,000
Couple +65yrs A$714,000

Unfortunately the ABS data only provides an average – the quintiles for each of these life cycle categories would be very interesting and give more information.

Using this table, we can compare our net worth with others who are at our stage of life. This is very practical and concrete. How are you doing towards saving for retirement? My guess is … Not as well as you hope, but probably no where near as badly as you fear!

The Leadership Challenge

Without a doubt the most helpful leadership book that I have ever read is “The Leadership Challenge” by Kouzes & Posner. The authors have interviewed 1000s of leaders around the world and distilled effective leaders’ stories into 10 key themes of leadership. The theme that I have learnt the most from is the theme of “Find Your Voice” – What is it that is important to me? What do I care about? How can I communicate that with others in a way that carries passion?

I have read many other leadership books, but this one is a beaut!

Fun with Monad?

Remember command.com and .bat files? Still using them? I recently downloaded Microsoft’s new command shell (available here). The key idea seems to be to make 99% of the internals of a MS Windows based computer accessible to a command shell. Whereas the Unix tradition of shells have commands linked together by consuming and producing text – in Monad commands consume and produce objects. [Read more…]

Username and Password Jungle

The promise of infocard and digital identity is still a long way ahead of us. Until digital identity provision becomes a ‘no-brainer’ commodity technology we will still need to keep track of a multitude of usernames and passwords. My best estimate is that I have about 150 separate password and username pairs from different websites and services! Any Password is the tool of choice for me.