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Bacterium In A Jar Paradigm

What makes your brain tick?
According to researchers, the parts of your body, if you don't use it you lose it, particularly your brain. The more you use it, the more logic & brainier you are, could that be true???


Open Question
Exponential growth - Are there any true in it ???
And the doubling in time theorem, answers !!!

One of the most basic maths we thought -- we understood to be the fundamental true in the process of exponential growth and it's progress, somehow we can't get it in our head.

For if we could, than we would 'see' why the same amount of food we intake cost twice as much today than 10 years ago -- how could that be true ???

For example, rice cost twice as much today compare with prices 10 years ago, and yet world food output has increased more than 10 years ago; whilst there were no exponential lost in agricultural land worldwide -- was our maths wrong ???

We add the total money in the banks, the food we consume, the production of goods we use, the population & housing growth rates in percentage term, we say the growth is exponential.

Money in the bank growths at a percentage term, electricity production and usage growth at steady percentage term worldwide. This growth goes on and on, year after year and for ever...  Is there any true in it ???

The fact is exponential growth in time for quantity to increase in size is a fixed constant. So time is the factor need for quantity to double in size (by say 100%) is also constant.

Let's take population growth for example -- we increase the height of buildings if population doubled in the city and double the number of bus on the road, we are better off, but are we ???

There is a sad fundamental true between percentage growth and the doubling ratio by the law of nature.

For example, take the size of a 1-cubic centimetre cube, with a cross section of 1 sq centimetre, that is, if we cut 1 face of the cube, that face is 1 sq centimetre, right !!!

Now compare this to a cube which has doubled in size -- a cube with 2 centimetres on each sides.

Its cross-sectional area would be 2 x 2 (or 4) sq centimetres thus its volume will be 2 x 2 x 2 (or 8) cubic centimetres. For the same density it would have 4 times the cross section and 8 times heavier !!!

The true is it's volume (and weight) multiplies much more than the corresponding increases in cross-sectional areas, China realized the same principle can be apply to population growth.

In 1977-1980 and again in 1984, researchers (and physics professor Albert A. Bartlett) highlighted the analogy with bacteria growth -- the bacterium in a jar paradigm.

Bacteria growth by division, one bacterium becomes two, and 2 becomes 4, and 4 becomes 8, and 8 becomes 16, and so on, and on  .....

Suppose the division time of this bacterium is one minute -- the steady growth rate.

And one of this bacteria got into an empty bottle at 11:00am and that grow start till the bottle was full of bacteria at 12:00 noon.

The professor ask you to consider this scenario (and outline the type of hypothesized chain events) -- When was the bottle half-full ???

It was found that at 2 minutes before noon, the bottle was only a quarter (1/4) full !!! What happened ???

Question time:
If you were the intelligent bacterium in that bottle, what time would you realize that soon you will run out of space???

Can you sense the danger at say 11:55am when the bottle was only 3% full (1/32) and had 97% of open space ???

Or suppose at 11:58am one of you intelligent guys suddenly realise that soon you will run out of space, and start getting your brain to work.

Luck was on your side that at the nick of time @ 11:59am when the bottle was half full, you have the technology ready to transport your people (bacterium) to 3 new empty bottles nearby -- with 4 times the space that you had ever known.

You intelligent bacterium are smart as now with 4 bottles, you knew that if you don't do something now will fill them up again.

The professor ask you again...
Suppose now you are the human being (not bacterium), with your advance technology and 7 continents (including sub-continent) -- When will you fill them up ???

Would you realize the size of your population say:
@ 11:55am -- 5 billion is too much???
Or 11:58am -- 6.5 (6 and a half) billion is too little???

What about 9 billion in a generation's time!!!
Do you still wonder why the same food cost more now !!!

Global warming will not annihilate mankind but man will...
Which does made me wondered !!!  Are we doing Iraq a favour ???

Author
28/05/2008
Mantra: You can't cure brain death but you can prevent it.


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Bacterium In A Jar Paradigm

TIME FULL 100%

11:54am

1/64

1.5%

11:55am

1/32

3%

11:56am

1/16

6%

11:57am

1/8

12%

11:58am

1/4

25%

11:59am

1/2

50%

12:00am

Full

100%

     

 

 

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