HCSN Theory
A pre-geometric framework where spacetime, particles, and dynamics emerge from local rewrite processes in discrete causal networks.
HCSN Theory is a simulation-first framework. All claims are derived from empirical results, not postulated axioms.
About the Project
Research-driven approach to fundamental theory
Simulation-First
All claims are validated against simulations before promotion to theory. Empirical evidence guides every step.
Minimal Axioms
Start with discrete events and local causality. No spacetime, symmetries, or external fields assumed.
Emergence Over Assumption
Particles, geometry, momentum, and forces emerge from rewrite statistics, not postulated axioms.
No External Claims
This is exploratory theory. No correspondence with known physics is assumed or claimed.
Core Ideas
Key concepts of the framework
Discrete Causal Networks
Spacetime is not fundamental. Causality emerges from discrete events and local relations.
Local Rewrite Dynamics
Evolution proceeds through probabilistic local transformations that preserve causal consistency.
Emergence Over Assumption
Particles, geometry, and forces arise from rewrite statistics—not postulated.
Order Parameter γ & Ω
Hierarchical closure (Ω) and non-linear coupling (γ) regulate structure. The phase transition to matter is multi-dimensional.
Transport Without Geometry
Persistent information flow (ξ activity) can exist before geometric structure emerges.
Operational Definitions
All physical quantities are defined operationally from rewrite histories and measurements.
Topological Force Law
Interaction is non-zero iff structural overlap χ > 0.14. Strength follows F ≈ k/χ with coupling k=182.1.
Documentation
The five canonical documents
Axioms and Methodology
Minimal axiom set and methodological principles underlying HCSN.
Defects, Worldlines, and Particles
Emergent objects and operational identity definitions.
Emergent Dynamics, Momentum, and Interaction
Motion, momentum, mass, and interaction without spacetime.
Geometry, Dimension, Uncertainty, and Limits
Large-scale structure, phase transitions, and theory boundaries.
Emergence of Particles
Mechanics of matter condensation: pillars, nucleation, and scaling.
Roadmap
Progress and future directions
Foundation & Simulation
Axioms, rewrite rules, initial simulation validation.
Phase Transitions & Criticality
Discovery of multi-dimensional criticality. Corrected earlier monotonic phase claims via γ-sweeps.
Rigorous Validation (v3.1)
Empirical proof of Partial Correlation Collapse (53.5%) and Robust Universality (100% Volume in Control mode).
Fragile Emergent Conservation
Observation of approximate momentum conservation (ρ = -0.47) emerging naturally from topology without axiomatic patches.
Dimensional Selection & Continuum
Large-scale dimension stabilization, exact invariance principles, and formalizing the statistical limits.
Join the Research
This is an open project. We welcome questions, skepticism, and collaboration.
Contact HCSN Research