SBJ: Information entropy of physical fundamental constants The fundamental constant can be measured increasingly accurate, it does not seem (for me) that the repetitive pattern of rational numbers after some number of digits may take place; if it is the case then there is not enough "room" in the universe / multiverse to accommodate such information as exact representation of fundamental constant - just in principle, there is no way to have it exact as there is no way to write down an exact arbitrary irrational number and it is not a technical limitation it is a fundamental limitation unless it may be represented as a rational number ;o). Information Entropy can be measured as an average number of bits per symbol/digit encoded by rank-0 context model + entropy encoder (let say arithmetic encoder). Therefore, there are two distinct possibilities: entropy equals zero or Log2(10) (for decimal representation) or simply: ZERO or NON-ZERO. I have my ideas how NON-ZERO case may workout but I'm interested to listen others opinions.
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