Genesis
Flexion Genesis
Birth of structure from unstable perfect symmetry. Sequential creation of Δ, Φ, M, κ and the first Flexion Field.
Structural science
for Flexion Universe
Flexion U is the home of the Flexion Framework — a complete structural system built on deviation (Δ), structural energy (Φ), memory (M), and contractivity (κ). A new way to describe how systems live, evolve, and collapse.
Core Framework
Flexion Framework
A unified structural architecture of existence: origin, motion, geometry, fields, time, and collapse — all expressed through the state vector X = (Δ, Φ, M, κ).
Dynamics
Flexion Dynamics
Laws of structural motion and viability. Structural flows that keep X inside the viability domain D and away from collapse C.
Space
Flexion Space Theory
Geometric and topological space where X lives. Curvature, geodesics, collapse boundary and multi-structure interaction.
Field
Flexion Field Theory
Structural fields acting on Δ, Φ, M, κ. Field coupling cascade and full geometry of collapse fields.
Time
Flexion Time Theory
Time as structural quantity T(Δ, Φ, M, κ). Temporal curvature, collapse of time, and multi-scale structural time.
Collapse
Flexion Collapse
Geometry and dynamics of structural termination. κ → 0, curvature divergence, temporal breakdown and terminal manifolds.
Applied Flexion Sciences
Core Disciplines
Flexion U hosts applied structural systems across immunity, risk, motion, control, and economic reserves — all built on the same structural core.
Immune
Flexion Immune Model (FIM)
Immunity as structural trajectories of X. Infection, inflammation, adaptation and recovery as motions in structural state space.
Risk
Flexionization Risk Engine (FRE)
Structural risk detection and collapse-avoidance. Operator-level architecture for safe structural optimization and prediction.
Motion Lab
Flexion Motion Lab (FML)
Applied operator theory for structural prediction. F, E, F⁻¹, G operators and Emergency Flexion Mode (EFM-ML).
Control
Flexionization Control System (FCS SDK)
SDK and architecture for live control of structural systems. FXI–Δ–E operator cycle in software.
Economy
NGT V2.0 — Structural Reserve Protocol
Economic protocol that keeps reserves structurally alive. Governance defines viability domain D; protocol follows structural flow.
Meta
Flexion Framework
Unified architecture connecting all fundamental theories and applied disciplines into one structural universe.
Publications
Research Library
Core Flexion Science documents. Each text formalizes one layer of structural reality — from Genesis to Collapse and applied motion systems.
Core
Flexion Framework V1.1
Unified structural architecture connecting Genesis, Dynamics, Space, Field, Time, and Collapse.
Foundations
Flexion Genesis V1.0
Structural origin of existence from unstable perfect symmetry.
Geometry
Flexion Space Theory V1.0
Dynamic structural manifold, viability domain D, collapse boundary C and geodesics.
Field
Flexion Field Theory V1.0
∆–Φ–M–κ as interacting fields, field coupling cascade and collapse manifold.
Time
Flexion Time Theory V1.1
Time as structural quantity T(Δ, Φ, M, κ), temporal curvature and collapse of time.
Collapse
Flexion Collapse V1.0
Structural termination, κ→0, curvature divergence and field singularities.
Ecosystem
Flexion Universe Projects
Live systems, SDKs and protocols built on Flexion. From structural immunity and risk to economic reserves and neural architectures.
Protocol
NGT — Structural Reserve Protocol
First reserve protocol running directly in structural space. DAO defines D; the protocol follows the structural flow inside it.
Engine
Flexionization Risk Engine
Structural layer for collapse-avoidance. Detects approach to C and forces systems to remain in D.
SDK
Flexionization Control System (FCS)
Operator SDK implementing FXI–Δ–E cycles in live infrastructure.
Store
Flexion Store
Dedicated space for structural artifacts: publications, extended editions, visualizations, and future Flexion-based products.
Visit: flexionu.store
About
About Flexion U
Flexion U (Flexion Universe) is the structural research environment built on the Flexion Framework. It formalizes how systems
arise, evolve, generate time, preserve viability and terminate through collapse. Every Flexion discipline — from the Flexion
Immune Model and NGT Protocol to Flexion Motion Lab — uses the same structural core: X = (Δ, Φ, M, κ).
Flexion U is not a metaphor or a brand only. It is a complete structural language for designing systems that can remain
alive — biological, economic, algorithmic, cognitive, or social.