☍ The Ouroboros as a function of the form.
Under mathematical laws, lambda calculus, and space phase geometry, the Ouroboros principle is translated into self referential recursive cycle and fixed point closure, outlining a function operating on itself, expressed by the equation 𝒻(𝒻) = 𝒻.
The formula simply yields the process where the output becomes input without escaping the system. This logic relies on distinctions that point back to the observer, creating a self-containing universe of rules.
Systems theory uses the Ouroboros to describe feedback loops where not only the result regulates the hierarchical structure itself, but also signifies immutability and independence from external interference.
In theoretical biology the Ouroboros is strictly related to the autopoiesis function of self procreation in which living networks preserve themselves through internal circular regeneration.
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arxiv.org/html/2105.04418v1