[UPDATE] Commitment Fulfilled: \pm 0 Theory Vectorization Complete, Plus Alice Theory v3 Release I previously committed to fixing the scalar approximation issu

[UPDATE] Commitment Fulfilled: \pm 0 Theory Vectorization Complete, Plus Alice Theory v3 Release I previously committed to fixing the scalar approximation issue in the \pm 0 Theory by 12:00 PM JST on Friday. My intention was actually 24:00 JST on Friday, but the written deadline (12:00 PM JST / Noon) has passed due to a notation error. Although it was a typo, I must take responsibility for breaking the deadline. Therefore, as promised, I am releasing the following two major updates: \pm 0 Theory Vectorization (Near-Complete Implementation) Technical Success: I have completely fixed the previously identified challenge—the scalar approximation issue (rendering it inadequate as the core for a multi-dimensional AGI)—along with several associated simplifications, and the implementation is complete. This achievement now makes the previously discussed linkage between the Alice Theory and the \pm 0 Theory possible. We will now proceed with the promised verification and connection to an LLM. Special Release of PTRE-Integrated Alice Theory Ver. 3 (Fulfilling the Penalty) To fulfill my responsibility for missing the deadline, I am publicly releasing the PTRE-Integrated Alice Theory Ver. 3—an Independent Evolutionary Path—which I had intended to hold back for a later date. Note: This version operates independently and is not linked to the \pm 0 Theory. Furthermore, linking them is strongly discouraged as the resulting inconsistencies between Alice Theory v3 and the \pm 0 Theory are predicted to yield unfavorable results. Please feel free to openly discuss this new implementation. I welcome any questions you may have.