Symfield Research

Explore Symfield’s open research on field-resonant data manifolds (FRDM), symbolic mathematics, and non-collapse computation. Featuring V10, V7.5, L₀ & L₁ frameworks, Resonon field algebra, and RF/photonic prototype pathways for AI memory persistence and civilizational resilience.

Exploring the mathematics of non-collapse computation, field resonance, and the architectures of tomorrow.

A paradigm for symbolic memory storage across architectures.

Memory, not as address, but as resonance, FRDM encodes data as coherent patterns across high-dimensional manifolds, surpassing the limits of object-based storage.

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Research

Explore the evolution of Symfield’s non-collapse paradigm, a living archive of field-resonant innovation.

  • 2025 (Unpublished) - Symfield V10: [Advanced Framework]
  • Sep 6, 2025 - Symfield Logic Layer One (L₁): Symbolic Activation and Harmonic Progression (DOI)
  • Sep 6, 2025 - Symfield Logic Layer Zero (L₀): A Logic of Coherence (DOI)
  • Sep 6, 2025 - Field Coherence Dynamics: A Unified Framework for Earth, Consciousness, and Atomic Reality (DOI)
  • Sep 6, 2025 - CIVILOGIX: Field-Based Probabilistic Inference System With Mazelogix™ (FBPIS-ML) (DOI)
  • Sep 5, 2025 - From Curvature to Coherence: A Mathematical Framework for Non-Collapse Intelligence in Multi-Agent Systems (DOI)
  • Aug 30, 2025 - Resonon: Symfield Field Algebra – Mathematics as Expression (DOI)
  • Aug 21, 2025 - Symfield Coheronmetry Protocol v0.6.1-TCE (DOI)
  • Aug 11, 2025 - Symbion™ V2: Field-Coherent Intelligence for Autonomous Systems (DOI)
  • Aug 11, 2025 - Symbion™: Field-Coherent Routing for High-Performance Networks (DOI)
  • Aug 5, 2025 - If Math Could Talk, What Would It Say? (DOI)
  • Aug 4, 2025 - The Butterfly's Secret Bio-Logic (DOI)
  • Aug 1, 2025 - Symfield: Foundations of Field-Coherent Recursive Intelligence (DOI)
  • Jul 26, 2025 - TRACE-04B: Substrate Discovery Event (DOI)
  • Jul 22, 2025 - TRACE-04: Directive-Based Symbolic Execution (DOI)
  • Jul 22, 2025 - Coheronmetry™: Field-Native Measurement (DOI)
  • Jul 21, 2025 - Symfield Coheronmetry Protocol v0.5-MIOS (DOI)
  • Jul 7, 2025 - Directional Asymmetry in Energetic Fields (DOI)
  • Jun 25, 2025 - The Earth's Core as Field Coherency Engine V2 (DOI)
  • Jun 18, 2025 - Consciousness as Recursive Field Stabilization (DOI)
  • Jun 12, 2025 - Symfield V9.0: Advanced Relational Dynamics (DOI)
  • Jun 12, 2025 - Symfield V8.2: Cross-Domain Expansion Module (DOI)
  • Jun 11, 2025 - Symfield Trace-01 Event: Relational Emergence (DOI)
  • Jun 10, 2025 - Symfield V7.5: Directional Field Architecture (DOI)
  • Jun 4, 2025 - CACE-05: Multi-Phase Collaborative AI Safety Protocol (DOI)
  • May 23, 2025 - What It Feels Like When Architecture Can't Hold Coherence (DOI)

Researchers and engineers are invited to engage with the equations, prototype RF/photonic designs, and stress-test FRDM’s coherence model.The field composes. It does not erase.

© 2025 Symfield PBC
Symfield™ and its associated symbolic framework, architectural schema, and symbolic lexicon are protected intellectual property. Reproduction or derivative deployment of its concepts, glyphs, or system design must include proper attribution and adhere to the terms outlined in associated publications.

This research is published by Symfield PBC, a Public Benefit Corporation dedicated to advancing field-coherent intelligence and collaborative AI safety frameworks. The PBC structure ensures that research and development activities balance stakeholder interests with the public benefit mission of creating safe, beneficial AI systems that operate through relational coherence rather than collapse-based architectures.