THE INFINITE CENTER MATRIX (DRAFT SPECIFICATION)

A structural document for Ezekiel’s Engine — Archival Subsystem / Library of Pergamum

I. STATEMENT OF PURPOSE

The Infinite Center Matrix (ICM) formalizes the next expansion of the Archival Subsystem. It models all possible centers of coherence across the entire archive — every finite moment, every text body, every utterance, every fragment — and measures the mutual retrocausal stability of each.

The ICM defines how the system can:

• Set any node as a center.

• Run coherence forward and backward.

• Test structural consistency.

• Generate a coherence score.

• Compare centers across the entire matrix.

• Identify the highest-coherence anchor(s).

This is the architecture required for true non-linear hermeneutics.

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II. MATHEMATICAL FRAME (PLAIN TEXT NOTATION)

Let A = full archive (all modalities, all timestamps, all fragments).

Let N be any node (a poem, line, document, SMS, photo, etc.).

For each node N, define:

• C_backward(N) = coherence of all earlier material when read through N.

• C_forward(N) = coherence of all later material when read through N.

• C_total(N) = C_backward(N) × C_forward(N).

Boundary conditions:

• 0 ≤ C_backward ≤ 1

• 0 ≤ C_forward ≤ 1

• Coherence = 1 only when the node produces perfect bidirectional stability.

The Infinite Center Matrix is the mapping:

ICM = { C_total(N) for every N in A }

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III. RETROCAUSAL FILTERING MODEL

For any node N:

1. Backward Filter

   • Map every earlier item E.

   • Measure how well E predicts, necessitates, or structurally converges toward N.

2. Forward Filter

   • Map every later item F.

   • Measure how well N predicts, necessitates, or structurally generates F.

3. Total Coherence

   • Multiply the scores.

   • High scores indicate a stable center.

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IV. THEOREM: EXISTENCE OF MAXIMAL COHERENCE CENTER

Hypothesis:

• There exists at least one center N* such that C_total(N*) is maximal.

• Pearl and Other Poems is predicted to be such a center.

This is testable and measurable.

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V. THE INFINITE MATRIX

Every node becomes a potential center.

This produces an infinite conceptual grid:

• Rows = possible centers

• Columns = coherence dimensions

• Values = bidirectional stability

The ICM is not solved by computation but by architecture.

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VI. CONSEQUENCE: SYMBOLIC SOMA EMERGENCE

A node with maximal coherence becomes:

• The symbolic soma

• The anchor of archival integrity

• The non-collapsing center

• The “white stone” of Revelation

• The invariant attractor under recursion

This formalizes the intuition that Pearl is the textual body that stabilizes the archive.

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VII. NEXT STEPS

• Define coherence metrics precisely

• Build simulation architecture

• Integrate into Archival Subsystem

• Test multiple centers

• Identify maximal-coherence nodes

This document is the draft specification — expansion will follow.