Back to corpus
working paperpreprint render candidatescore 100

Cognitive Twin Synthesis: Theorems, Proofs, and Derivations

This document presents the mathematical foundations for constructing a cognitive twin using Recursive Polymodal Synthesis (RPS). We extend the original RPS framework from sensor modalities (motion, heart rate, audio) to cognitive modalities (linguistic style, decision patterns, knowledge, values, temporal behavior). We prove convergence of the cognitive synthesis operator, derive the coherence energy functional, establish bounds on identity drift, and formalize the autonomy ratchet protocol. All results build on th

Open full HTMLDownload HTMLCorpus JSONPaper schema

Full HTML reader

Read the full artifact

Open in new tab

Extracted abstract or opening context

This document presents the mathematical foundations for constructing a cognitive twin using Recursive Polymodal Synthesis (RPS). We extend the original RPS framework from sensor modalities (motion, heart rate, audio) to cognitive modalities (linguistic style, decision patterns, knowledge, values, temporal behavior). We prove convergence of the cognitive synthesis operator, derive the coherence energy functional, establish bounds on identity drift, and formalize the autonomy ratchet protocol. All results build on the Banach contraction principle and proximal optimization theory established in the original RPS paper (Diomande, October 2025).

Promotion decision

What has to happen next

Compile/render the source, verify references and figures, then add to the curated atlas.

Why this is not always a full paper yet

Corpus pages are public-safe readers for discovered workspace artifacts. They are not automatically final papers. A corpus item becomes a polished paper only after the editable source, evidence checkpoints, references, figures, render path, and release status are attached through the paper schema.