Diesel Black
Inside The Black Box LLC
Seven axioms and a four-term Lagrangian on a differentiable semantic manifold constrain three coupled field equations that close a causal loop: a coherence field flows on a dynamic metric, semantic mass sources curvature through coupling structurally analogous to general relativity, and the resulting curvature reshapes the conditions under which subsequent coherence flows.
The framework is an effective field theory for semantic dynamics, describing macroscopic coherence evolution without requiring specification of the microscopic degrees of freedom that realize those dynamics on a given substrate. It applies wherever systems exhibit differentiable semantic structure, observer-dependent measurement, recursive coupling, and finite coordination capacity.
- ./semantic-relativity.pdf — Full paper, current draft (direct download)
Part I introduces six structural objects (semantic manifold, dynamic metric, coherence field, semantic mass, a recursive coupling tensor, and an interpretive operator) as the minimal vocabulary required to ask: what determines the evolution of semantic geometry in systems where observers are structurally coupled to the fields they measure?
Part II states seven axioms constraining those objects, each with an explicit falsification condition.
Part III derives a Lagrangian balancing kinetic coherence flow, attractor binding, autopoietic generation, and regulatory constraint, then develops three coupled field equations:
- A Coherence Field Equation (elliptic, Laplace-Beltrami on a Riemannian manifold) governing how coherence flows through curved semantic space
- A Recurgent Field Equation (Einstein-analog) constraining how semantic mass sources metric curvature through a stress-energy tensor
- A Metric Field Equation (Ricci flow with recursive forcing) describing the time evolution of geometry on which subsequent coherence flows
Noether symmetries yield three conservation laws, including a coherence-sector Hamiltonian whose individual conservation breaks down during rapid metric evolution, paralleling the gravitational energy problem in GR.
Part IV derives five necessary and jointly sufficient conditions for agency from the field equations: self-model, recursive closure, coherence stability, autopoietic self-maintenance, and intrinsic regulation.
Part V classifies twelve orthogonal signatures of characteristic imbalance across four categories (rigidity, fragmentation, inflation, distortion), each following as a consequence of the Lagrangian's structural commitments, with a directed compatibility matrix derivable from the field equations.
Part VI establishes frame-dependent semantic measurement with intersubjective convergence as a geometric constraint, and Part VII states four structural falsifiers and four consistency conditions.
Appendix A pins the coarse-graining functional to a minimal concrete choice (Gaussian smearing with cubic correction) and traces consequences across three progressively richer instantiations (1+1, 2+1, 3+1 dimensions, generalizing to n), deriving 24 structural results that demonstrate computability, falsifiability, and cumulative predictive strength with each dimensional extension.
Unpublished working paper. Current public draft dated 2026-03-17. In preparation for submission.
Black, D. (2026). Semantic Relativity: A Geometric Field Theory for Observer-Dependent Meaning. Unpublished manuscript, Inside The Black Box LLC.
- RICCI — PostgreSQL detection architecture implementing twelve content-blind coordination risk detectors derived from this framework
- CARTA — Proof-of-concept data pipeline that confirmed embedding geometry carries meaningful behavioral signal, informing the development of both the theory and RICCI
Diesel Black — semantic.mass@gmail.com — linkedin.com/in/dieselblack
Copyright © 2025-2026 Diesel Black, Inside The Black Box LLC. All rights reserved.
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