D3.1 — Coherence Functional Definition
Chain Position: 18 of 188
Assumes
- [Logos Field](./017_A3.2_Coherence-Measure]]
Formal Statement
Coherence C[chi] = measure of organized information density
- Spine type: Definition
- Spine stage: 3
Spine Master mappings:
- Physics mapping: Low Entropy
- Theology mapping: 1 Cor 14:33 order
- Consciousness mapping: Organized activity
- Quantum mapping: Quantum coherence
- Scripture mapping: 1 Cor 14:33 order
- Evidence mapping: Shannon 1948
- Information mapping: Signal vs noise
Cross-domain (Spine Master):
- Statement: Coherence C[chi] = measure of organized information density
- Stage: 3
- Physics: Low Entropy
- Theology: 1 Cor 14:33 order
- Consciousness: Organized activity
- Quantum: Quantum coherence
- Scripture: 1 Cor 14:33 order
- Evidence: Shannon 1948
- Information: Signal vs noise
- Bridge Count: 7
Enables
Defeat Conditions
- Demonstrate that “Coherence C[chi] = measure of organized information density” is false, inconsistent, or inapplicable to the claimed domain.
- Reject one of the upstream assumptions (017_A3.2_Coherence-Measure) to collapse this axiom.
Standard Objections
- Objection: “Coherence C[chi] = measure of organized information density” is just a re-labeling of the status quo without new grounding.
- Response: Each dependency 017_A3.2_Coherence-Measure is already defended, so rejecting them would collapse the shared foundation.
Defense Summary
- Coherence C[chi] = measure of organized information density
- Built on: 017_A3.2_Coherence-Measure.
- Enables: 019_D3.2_Self-Interaction-Potential.
Collapse Analysis
- Breaks downstream: 019_D3.2_Self-Interaction-Potential
Source Material
01_Axioms/_sources/Theophysics_Axiom_Spine_Master.xlsx(sheets explained in dump)01_Axioms/AXIOM_AGGREGATION_DUMP.md
Common Sense Truth: “Coherence” is just a fancy word for how well-organized and dense with meaning the [[010_D2.1_Logos-Field-Definition.md) is, like a really well-written book with lots of packed information. Accepted by common sense: Requires analogy/explanation, but the idea of ‘well-organized information’ is intuitive.
Prosecutorial Analysis
Common Sense Variable:
Coherence = Organized_Information_Density
Formal Statement: Coherence C[χ] = measure of organized information density.
The Prosecutor’s Defense
The Charge: The court has established the necessity of organization for meaningful information (A3.1) and the Logos Field’s drive to minimize descriptive complexity (A3.2). We now provide a formal, measurable definition for “Coherence” (C[χ]) as the measure of this success. The defendant, any worldview that denies the existence or objective measurability of such fundamental order, is charged with intellectual blindness to the fundamental dynamics of reality.
The Cross-Examination:
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To the Skeptic: You may claim “coherence” is a subjective, undefinable concept. This definition makes it objective: it’s a measure of organized information density. Consider a highly structured computer program versus a random data stream. The program has high information density and is highly organized, thus it has high coherence. The random stream has low information density and low organization, thus low coherence. The difference is objectively measurable.
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To the Physicist: You are familiar with concepts like entropy (a measure of disorder) and information density. Coherence, as defined here, is essentially the positive measure of effective, organized information density. It is related to concepts like negentropy and applies to various systems, from quantum coherence in entangled particles to signal-to-noise ratios in communication. This definition provides a unified metric across these domains.
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To the Materialist: You are forced to confront the fact that reality is not just “stuff,” but organized information. Coherence, as a measurable property, describes the quality of this organization. A universe devoid of coherence is one without stable structure, without meaning, and ultimately, without the capacity for sustained existence (A1.1, LN2.1). The very existence of your “stuff” is a testament to high coherence.
The Verdict:
Coherence is not an abstract philosophical concept; it is a measurable property of the Logos Field. It quantifies the degree to which information is organized, compressed, and packed with meaning. This definition provides the operational tool to assess the order and intelligibility of any system, from a quantum particle to the entire universe, under the governance of the Logos Field. It bridges the qualitative observation of order to a quantitative, objective measure.
The Common Sense Layer (Detailed Explanation)
Imagine trying to understand something. Some things are easy to understand because they’re clear and well-organized. Like a well-written instruction manual. Other things are confusing and hard to get, like a bunch of random words.
“Coherence” is just how clear, well-organized, and packed with meaning something is.
If the Logos Field is the ultimate “mind” that organizes everything, then “coherence” is how well it’s doing its job. A highly coherent universe is one where the laws are clear, the patterns are strong, and everything makes sense. A low-coherence universe would be chaotic, random, and meaningless.
This axiom says we can actually measure how “coherent” something is. It’s not just a feeling; it’s a real property, like measuring how much signal there is compared to static on a radio.
Asset Links
Logos Paper Placeholder:
- Title Suggestion: The Metric of Reality: Defining Coherence as Organized Information Density.
- Central Thesis: This paper will formally define “Coherence” (C[χ]) as the measure of organized information density within the Logos Field (χ). It will argue that this objective metric is essential for quantifying the universe’s inherent order, its drive for minimizing complexity, and its capacity for meaningful existence, thereby providing a measurable standard for the quality of reality.
- Case File Assignment:
CF02_Prosecution_of_Chaos,CF04_Prosecution_of_Naturalism
Quick Navigation
Depends On:
- [Sin Problem](./017_A3.2_Coherence-Measure]]
Enables:
Related Categories:
- [Sin_Problem/.md)