Boke's Reverse Function (BRF): Forward, Inverse, and Reciprocal Formulation with Timestamped Disclosure

Paragraph 1 — What this work is This work introduces Boke’s Reverse Function (BRF), a novel reverse-constructed mathematical framework that maps prime numbers onto the critical line of the complex plane using the form �. Unlike classical forward constructions, BRF defines a reverse causal structure where primes generate structured points directly on the critical line, offering an alternative perspective related to the Riemann Hypothesis. Paragraph 2 — Inverse and reciprocal extensions The paper further defines the Inverse BRF, allowing reconstruction of primes from the imaginary component of BRF points, and the Reciprocal BRF (1/BRF), which forms a convergent inward spiral on the complex plane. These extensions are proposed as tools for reverse prediction, entropy collapse modeling, time-reversal analysis, and information reconstruction. Paragraph 3 — Purpose and scope The objective of this deposit is to timestamp and publicly register the BRF framework, its inverse and reciprocal forms, and their conceptual implications. This upload is intended as a foundational mathematical and theoretical record, not as a finalized proof of the Riemann Hypothesis. Paragraph 4 — Broader implications Beyond number theory, BRF is discussed as a structural model applicable to reversible time systems, entropy-gated learning, artificial intelligence architectures, and symbolic representations of causal symmetry. Paragraph 5 — Authorship and disclosure This work is authored and independently developed by Jiten Dilip Boke. No external datasets, proprietary systems, or confidential materials are included. All ideas presented are original to the author and released under an open license.