Multi-Dimensional Memory Revisited: Early Research Notebook Pages on Shared Amplitude and Multi-Phase Structure

Internal ID: CGI-HST-000001
Document Type: Historical Research Notebook / Primary Source Artifact
Publication Date: May 2026
Original Creation Date: October 2013
Status: Public
Domains: Information & Computation
Research Topics: Multi-phase numbers, shared amplitude, CDI, EI

Abstract

The notebook pages document an early exploratory construction of what later became the multi-phase number / shared-amplitude framework used in Coherence Geometry (CG). The pages show the development of a multi-dimensional memory structure in which multiple phase-like or directional components are organized through a shared amplitude-like constraint.

Available Document

DOI: 10.5281/zenodo.20192378

Citation:
Petersen, B. L. (2026). Multi-Dimensional Memory Revisited: Early Research Notebook Pages on Shared Amplitude and Multi-Phase Structure. Zenodo. https://doi.org/10.5281/zenodo.20192378

Source Code and Supporting Materials

[Supporting documents listed here]

Summary and Notes

Historical significance:

This document is historically important because it records an early handwritten test run of the shared-amplitude / multi-phase structure that later became central to Coherence-Driven Intelligence (CDI), Emergent Intelligence (EI), and the formal Coherence Geometry framework.

At the time of writing, the later terminology of “mu-numbers,” “multi-phase numbers,” “Coherence Geometry,” and “shared-amplitude coherence” had not yet been formalized. In retrospect, the notebook pages show a precursor to the representational idea later developed in the Coherence Geometry Foundations texts: many phase-like degrees of freedom organized through a common amplitude or coherence resource.

Related Work

Related records:
Emergent Intelligence from Coherence-Driven Dynamics
Petersen, B. L. (2026). Emergent Intelligence from Coherence-Driven Dynamics:
Archival Submission Packages (Version 1.0). Zenodo.
https://doi.org/10.5281/zenodo.20191577

Coherence Geometry Foundations, Part I
Petersen, B. L. (2026). Coherence Geometry Foundations, Part I: Orientation,
Closure, and Algebraic Foundations (Version 0.1). Zenodo.
https://doi.org/10.5281/zenodo.20156532

Coherence Geometry Foundations, Part II
Petersen, B. L. (2026). Coherence Geometry Foundations, Part II: Physical
Projections (Version 0.1). Zenodo.
https://doi.org/10.5281/zenodo.20156997