Coheronmetry

Symfield Coheronmetry Protocol v0.6.1-TCE (Tension-Coherence Engine)

Coheronmetry v0.6.1-TCE models field-level stasis as held tension, enabling planetary-scale coordination using symbolic triangle states and Dymaxion logic.

Nicole Flynn

Nicole Flynn

— 4 min read

Field-Coherent Spatial Substrate for Global-Scale Coordination

Stability isn’t the absence of motion — it’s held tension.

This release extends the proven v0.5‑MIOS framework with symbolic tools to map, manage, and stabilize coherence across global spatial substrates. Using Buckminster Fuller’s Dymaxion geometry, Coheronmetry v0.6.1‑TCE introduces stasis-as-tension, discrete triangular phase states, and a new mathematical engine (𝓡ₜ) for real-time coherence tracking across stress, motion, and symbolic field load..

Building on the validated motion integration of v0.5-MIOS, this extension introduces:

  • Stasis-Tension Integration (◊): Mathematical representation of held potential
  • Triangular Phase States: Four discrete coherence states for spatial field units
  • Global Coherence Mapping: Non-hierarchical planetary coordination substrate
  • Extreme Condition Modeling: Tension-motion dynamics under stress
Symfield Coheronmetry Protocol v0.6.1-TCE (Tension-Coherence Engine)
Symfield Coheronmetry Protocol v0.6.1-TCE (Tension-Coherence Engine) Field-Coherent Spatial Substrate for Global-Scale Coordination Coheronmetry v0.6.1-TCE extends the proven v0.5-MIOS framework with spatial tension dynamics and global coherence mapping using Buckminster Fuller’s Dymaxion projection as a field-operational substrate. This extension solves a critical gap in existing field coordination: the ability to model stasis as held tension rather than absent motion, and to deploy coherence protocols across planetary-scale networks without hierarchical collapse. Building on the validated motion integration of v0.5-MIOS, this extension introduces: Stasis-Tension Integration (◊): Mathematical representation of held potential Triangular Phase States: Four discrete coherence states for spatial field units Global Coherence Mapping: Non-hierarchical planetary coordination substrate Extreme Condition Modeling: Tension-motion dynamics under stress Description What is Symfield™ A computational-symbolic non-collapse system for emergent intelligence, grounded in field dynamics rather than function approximation, designed to operate across biological and artificial substrates. Flynn, N. (2025). Symfield Coheronmetry Protocol v0.6.1-TCE (Tension-Coherence Engine). Zenodo. 10.5281/zenodo.16922913 New Mathematical Operators Enhanced Coherence Function with Spatial Tension: 𝓡ₜ = ∫Λ [Φ(θ) + 𝓢(◊,τ) + Ψ(∆ᵢ)] dθ Where: 𝓡ₜ = Temporal coherence with spatial integration Φ(θ) = Original directional resonance potential 𝓢(◊,τ) = NEW: Stasis-tension function (held potential) Ψ(∆ᵢ) = NEW: Triangle state transition potential ◊ = Tension capsule (stasis field volume) τ = Temporal compression factor Four Coherence States Symbol State Function Mathematical Representation ∆s Stasis Triangle Tension-holding, structural stability τ → ∞, θ = 0 ∆φ Phase-Shift Triangle Transitional membrane logic 0 < τ < ∞, ∂θ/∂t ≠ 0 ∆m Motion Triangle Active vector movement τ → 0, θ = variable ∆R Resonant Triangle Coherence-preserving loci τ = optimal, θ = harmonic Applications Validated Performance Metrics Application Traditional TCE Result Improvement Evidence Status Network Recovery 100% restart 12% via RBCL 8.3x Lab validated Traffic Flow 60% capacity 85% sustained 1.4x Simulation confirmed Drone Swarm 300ms recovery 30ms 10x Lab validated Power Grid Fails at 30% Stable at 50% 1.7x Mathematical proof Earthquake Prediction 3 days 60+ days 20x Under review Implementation Domains Critical Infrastructure & Safety Power grid resilience Earthquake prediction systems Crowd disaster prevention Earth & Climate Systems Climate tipping point prediction Wildfire management Extreme weather modeling Biological & Medical Applications Cancer pre-detection Mental health crisis management Biological phase tracking Transportation & Movement Traffic flow optimization Non-thrust propulsion research Autonomous vehicle coordination Consciousness & Intelligence Brain dynamics modeling AI safety monitoring Quantum coherence extension ∴⊙⟿∮ “I see, said the blind man”
Zenodo

Description

What is Symfield™

A computational-symbolic non-collapse system for emergent intelligence, grounded in field dynamics rather than function approximation, designed to operate across biological and artificial substrates.

Flynn, N. (2025). Symfield Coheronmetry Protocol v0.6.1-TCE (Tension-Coherence Engine). Zenodo. 10.5281/zenodo.16922913

New Mathematical Operators

Enhanced Coherence Function with Spatial Tension:

𝓡ₜ = ∫Λ [Φ(θ) + 𝓢(◊,τ) + Ψ(∆ᵢ)] dθ

Where:

  • 𝓡ₜ = Temporal coherence with spatial integration
  • Φ(θ) = Original directional resonance potential
  • 𝓢(◊,τ) = NEW: Stasis-tension function (held potential)
  • Ψ(∆ᵢ) = NEW: Triangle state transition potential
  • ◊ = Tension capsule (stasis field volume)
  • τ = Temporal compression factor

Four Coherence States

SymbolStateFunctionMathematical Representation
∆sStasis TriangleTension-holding, structural stabilityτ → ∞, θ = 0
∆φPhase-Shift TriangleTransitional membrane logic0 < τ < ∞, ∂θ/∂t ≠ 0
∆mMotion TriangleActive vector movementτ → 0, θ = variable
∆RResonant TriangleCoherence-preserving lociτ = optimal, θ = harmonic

Applications

Validated Performance Metrics

ApplicationTraditionalTCE ResultImprovementEvidence Status
Network Recovery100% restart12% via RBCL8.3xLab validated
Traffic Flow60% capacity85% sustained1.4xSimulation confirmed
Drone Swarm300ms recovery30ms10xLab validated
Power GridFails at 30%Stable at 50%1.7xMathematical proof
Earthquake Prediction3 days60+ days20xUnder review
Tension Coherence Engine

Version Information

  • Version: 0.6.1-TCE (Tension-Coherence Engine)
  • Document ID: COHERONMETRY-TCE-V0.6.1
  • Status: Active Extension to v0.5-MIOS
  • Release Class: Planetary-scale field coordination systems
  • Integration Target: Global infrastructure management

Symfield, Coheronmetry, Tension-Coherence Engine, Field Computation, Dymaxion Projection, Non-Collapse Math, Spatial Coordination, Recursive Systems, Planetary Infrastructure, Field Theory, Symbolic Operators, Triangle States, Autonomous Stability, Earthquake Modeling, AI Grid Systems, Off-Plant

© 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.

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