Paper II reveals a struct–iter split of -1 in realm trigonometry, suggesting a unique relation to Euler's identity.
Paper II of the Realm Calculus series develops realm-native geometry, trigonometry, and Euler-type identities. It identifies a struct–iter split of (-1), showing that the classical alignment between i, pi, and Euler’s identity is a special realm-2 phenomenon, while higher realms separate self-power and analytic-preimage structures.
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Efe Eren (2026) studied this question.
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