Posts

From Geometry to Spacetime

  From Geometry to Spacetime (Constraint–Transport Foundations of Emergent Lorentzian Structure) PART I — PRE-GEOMETRY 1. Distinction Before Structure Binary separation as primitive Identity vs admissibility Boundary without space Constraint as first invariant 2. Relation Without Embedding Graphs, orders, compositional systems Adjacency without metric Depth vs distance Transport without coordinates 3. Constraint Closure Admissibility predicates Stability under recursion Collapse as spectral contraction Persistence as invariant intersection 4. Transport as Primitive Compositional update rules Bounded accessibility Finite propagation without metric Hyperbolicity as structural condition PART II — TOPOLOGY EMERGES 5. Stable Neighborhoods from Transport Equivalence classes under admissibility Persistent local structure Emergent separation axioms When topology is induced 6. Cost Functionals and Ordering Relaxation cost Minimal admissible paths Path composition Depth → ordering → geometry...
Post a Comment
Read more

Semantic Cloud Architectures

Semantic Cloud Architectures Geometry, Constraint, and the Distributed Emergence of Meaning Part I — The Problem of Meaning Without Symbols 1. The Collapse of the Symbolic Model Why units don’t encode meaning Mixed selectivity and distributed failure of localization The end of modular cognition From representation to geometry 2. What Is a Semantic Cloud? High-dimensional distributed state Meaning as position and trajectory Projection as readout Attractors and regime stability Necessary and sufficient conditions for SCA 3. Constraint as the Organizing Principle Recoverability over optimization Reuse of degrees of freedom Interference minimization Why geometry scales and symbols do not Part II — The Evolution of Semantic Cloud Architectures 4. Pre-Neural Clouds: Chemical and Metabolic Control Gradient sensing in bacteria Osmotic regulation Homeostasis as geometric stabilization 3-billion-year lineage of non-representational control 5. Gastric and Enteric Systems ENS as autonomous cloud M...
Post a Comment
Read more