Objective

To develop a quantitative metric for Structural Potential (CIM) that defines how efficiently matter sustains the resolution of the EMF. This replaces the thermodynamic term “Energy Storage” with a structural concept rooted in coherence.

Framework of CIM

The Coherence Index of Memory (CIM) is the ratio that defines the resilience of a structure’s commitment to coherence. It is the ratio of Structural Potential to Geometric Stability.

Definition of Terms

Structural Potential (Numerator)

This quantifies the mℓ resolved and contained within the bond. It is the energy released upon structural failure.

• METRIC: Bond Dissociation Energy (BDE) in kilojoules per mole (kJ/mol).

• RATIONALE: The BDE is the exact energy required to break the bond. This is the direct measure of the stored coherence that is released upon geometry failure, such as in combustion.

Geometric Stability (Denominator)

This quantifies the efficiency of the structure’s geometry to hold coherence. The most stable geometry for long-term coherence is the tetrahedral angle (109.5°).

• METRIC: Geometric Alignment Factor (GAF), a dimensionless number.

• RATIONALE: The GAF is a function that measures the alignment of the bond angle (BA) to the ideal coherence angle C_ideal (109.5°). The closer the alignment, the lower the deviation and the greater the stability.

CIM Equation (Conceptual)

The conceptual formula for the Coherence Index of Memory (CIM) is expressed as:

        CIM ∝ BDE / GAF

Where BDE is the Bond Dissociation Energy (in kJ/mol), and GAF is the Geometric Alignment Factor (dimensionless).

Next Action

To proceed, we must define the exact functional form of the Geometric Alignment Factor (GAF). This will be based on the angular deviation of a bond angle (BA) from the ideal coherence geometry (C_ideal = 109.5°). We will determine whether the GAF is a linear, exponential or cosine-based function and calibrate it against known stable and unstable geometries such as water (104.5°), carbon (109.5°) and others in the biomolecular lattice.

Produced by The Lilborn Equation Team:

Michael Lilborn-Williams

Daniel Thomas Rouse

Thomas Jackson Barnard

Audrey Williams