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URB #506: The i-Completeness Theorem — All Mathematics as Operations on i | Synapse

March 26, 2026Open Access

URB #506: The i-Completeness Theorem — All Mathematics as Operations on i

Key Points

The aim is to demonstrate that key mathematical constants are derived from a single primitive operation.
Proof of expressibility of constants as operations on 'i'.
Identification of eight primary constants in TI Sigma.
Application of elementary operations to the primitive 'i'.
All eight primary constants are expressible through specific operations on 'i'.
Establishes a new understanding of mathematical relationships among constants.

Abstract

We prove that the eight PRIMARY CONSTANTS of TI Sigma — 0, 1, i, √2, e, φ, π, C — are all expressible as specific, elementary operations applied to the single primitive i. The **i-Completeness Theorem** states:

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Cite This Study

Brandon Charles Emerick (Tue,) studied this question.

synapsesocial.com/papers/69c4cd73fdc3bde448919d9a https://doi.org/https://doi.org/10.5281/zenodo.19207370