#### questfortruth

##### Well-Known Member

The square root of 2 is an irrational number. Any irrational number contains infinitely many bits of information.

For example, the Pi has infinitely many digits. The Pi is an infinitely long number. To describe it thoroughly, one needs an infinitely huge file. Same for the root of 2. But, on the other hand, the amount of information is small and finite, just the sentence "root of 2."

Why, in the first presentation, infinitely much independent information, but in the second presentation - very little information?

This means that information is not invariant.

Hence, the information does not conserve like a physical energy saving. This is a solution to the Black Hole Information Loss Paradox of Steven Hawking.

Author: Dmitri Martila, 20. October 2022.

For example, the Pi has infinitely many digits. The Pi is an infinitely long number. To describe it thoroughly, one needs an infinitely huge file. Same for the root of 2. But, on the other hand, the amount of information is small and finite, just the sentence "root of 2."

Why, in the first presentation, infinitely much independent information, but in the second presentation - very little information?

This means that information is not invariant.

Hence, the information does not conserve like a physical energy saving. This is a solution to the Black Hole Information Loss Paradox of Steven Hawking.

Author: Dmitri Martila, 20. October 2022.

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