Paper XIV-A: Dynamics and Stability of the Coherence Field — Mathematical Foundations for an Effective Protection Operator
Fuente:
Zenodo
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Recurso digital |
| Sprache: | Englisch |
| Veröffentlicht: |
Zenodo
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866901092033363968 |
|---|---|
| author | Cerezo, Arturo IA Collaborative Panel — Claude (Anthropic) · ChatGPT (OpenAI) · Gemini (Google DeepMind) · Grok (xAI) · Perplexity (Perplexity AI, Inc.) |
| author_facet | Cerezo, Arturo IA Collaborative Panel — Claude (Anthropic) · ChatGPT (OpenAI) · Gemini (Google DeepMind) · Grok (xAI) · Perplexity (Perplexity AI, Inc.) |
| contents | <p>We present a rigorous mathematical framework for the Coherence Field (C-field) as an effective protection operator within Radial Coherential Dynamics (RCD). Unlike standard scalar field approaches (quintessence, k-essence, scalar-tensor theories), the C-field is defined not as an additional energy-density contributor but as a modulator of effective coupling structures. We derive stability conditions, identify emergent scales, and establish precise criteria distinguishing "absorbable" dynamics (reproducible by standard parametrizations) from "non-absorbable" signatures (requiring genuine protection mechanisms). This framework provides falsifiable triggers for domain-specific applications (Paper XIV-B) and impossibility theorems (Paper XIV-C).</p> <p>This is Paper XIV-A of the Radial Coherential Dynamics Series, establishing the mathematical foundations for the XIV trilogy.</p> <p>Part of the XIV Trilogy:<br>- XIV-A: Structure (this paper)<br>- XIV-B: Application (cosmological implications)<br>- XIV-C: Necessity (impossibility theorem)</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18207097 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Paper XIV-A: Dynamics and Stability of the Coherence Field — Mathematical Foundations for an Effective Protection Operator Cerezo, Arturo IA Collaborative Panel — Claude (Anthropic) · ChatGPT (OpenAI) · Gemini (Google DeepMind) · Grok (xAI) · Perplexity (Perplexity AI, Inc.) Coherence field Effective field theory Reaction-diffusion dynamics Stability analysis Dark energy Quantum protection Radial Coherential Dynamics RCD Decoherence N-signatures <p>We present a rigorous mathematical framework for the Coherence Field (C-field) as an effective protection operator within Radial Coherential Dynamics (RCD). Unlike standard scalar field approaches (quintessence, k-essence, scalar-tensor theories), the C-field is defined not as an additional energy-density contributor but as a modulator of effective coupling structures. We derive stability conditions, identify emergent scales, and establish precise criteria distinguishing "absorbable" dynamics (reproducible by standard parametrizations) from "non-absorbable" signatures (requiring genuine protection mechanisms). This framework provides falsifiable triggers for domain-specific applications (Paper XIV-B) and impossibility theorems (Paper XIV-C).</p> <p>This is Paper XIV-A of the Radial Coherential Dynamics Series, establishing the mathematical foundations for the XIV trilogy.</p> <p>Part of the XIV Trilogy:<br>- XIV-A: Structure (this paper)<br>- XIV-B: Application (cosmological implications)<br>- XIV-C: Necessity (impossibility theorem)</p> |
| title | Paper XIV-A: Dynamics and Stability of the Coherence Field — Mathematical Foundations for an Effective Protection Operator |
| topic | Coherence field Effective field theory Reaction-diffusion dynamics Stability analysis Dark energy Quantum protection Radial Coherential Dynamics RCD Decoherence N-signatures |
| url | https://doi.org/10.5281/zenodo.18207097 |