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Organic
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e, pi and phi are irrational numbers, and they are interesting because they are expressing proportions that can be found in many, so called, different systems.do those constants have any relation to each other?
does something like pi-e or pi/e has any significance?
If some proportion is found in many systems, we hope to find through it if there is some deep connection between these systems.
Shortly speaking, we are talking about the signature of some deep symmetry that can be used as a gate between, so called, different systems.
If we find some deep symmetry between, so called, different systems, then this deep point of view, gives us the opportunity to explore these systems from deeper and higher level of understanding.
Because e, pi and phi are irrational numbers, I think we have to start our research by asking ourselves: "what is an irrational number"?
A better answer to this important question can give us a deeper understanding of the connections between e, pi and phi.
By standard Math, irrational number is a number that cannot be expressed by a ratio that exists between at least two integers.
If this is the case, then we have no accurate method to represent an irrational number.
Can somebody have an idea how to represent an irrational number in an accurate way without using the natural numbers notations?
Please be aware that notations like e, pi or phi or pi/e are general notations exactly like oo is for infinity, because they do not give us any accurate but only a trivial information about these irrational numbers.
Another way to think about this problem, is to agree with the idea that redundancy_AND_uncertainty are natural properties of the NUMBER concept right from the level of the natural numbers, for example:
http://www.geocities.com/complementarytheory/Complex.pdf