Tuesday, December 05, 2006

A Theory has to break

The definition of theory (as suggested by hawking in A brief history of time) has 'loss of information' problem. It occurs when we try to have the same result with less information than it requires. If a theory has to model an universe with lesser number of paramter than the reality, then no matter how good it fits to observation for a long time, it would eventually fall apart, since it has used less information than is actually in reality. Now the goodness of theory is really how long can it go before it breaks. A theory is an abstraction, an abstraction is by definition less than reality. Hence theory will necessarily break.

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