Being From Nothingness - Current Research Directions

Research Programme Overview — April 2026

A single modal logic axiom — that to exist is to be distinguishable — generates a deductive chain connecting persistence, computation, and intelligence. Persistent systems must iterate their dynamics. Iteration is computation. Computation creates structural information for bounded observers (Finzi et al., 2026). This accumulated structure necessarily has five independent dimensions, empirically verified across reaction-diffusion and cellular automaton substrates. The dimensional independence makes specialised information profiles overwhelmingly more common than balanced ones, producing the vertex-clustered perturbation responses observed across all substrates tested. Bounded observers watching this accumulation necessarily infer memory, learning, and adaptive behaviour — not as metaphors but as correct inferences given their computational limitations. Crucially, the axiom predicts that specific measurement values will be observer-dependent while the dimensionality is invariant — a prediction confirmed by two years of empirical work that appeared to resist convergence but was, in fact, performing exactly the observer-dependence the theory predicts.

Nothingness minus one

Euler's identity e^(iπ) + 1 = 0 connects five fundamental constants in a single equation. This paper proposes that the identity is not a coincidence of analysis but a self-consistency theorem: the three non-trivial constants are independently produced by a single axiom in modal logic — that nothingness cannot exist. The constant e arises from the counting structure of independent subsystems, i from the relational geometry of three distinguishable features in a Clifford algebra, and π from the closure of the resulting exponential map on a bounded domain. Each constant has a structural parallel to a thermodynamic law. The algebraic hierarchy within the identity — e as base, i as exponent — suggests entropy is more fundamental than energy, a conclusion independently reached by Aoki and collaborators working within general relativity. The paper identifies connections to the Jacobson thermodynamic derivation of Einstein's equations and sketches how running coupling constants may appear as geometric deformations of the identity.

January 2026 Paper: Relational Ontology and Strange Loop of Self-Reference. Including comparison to Stephen Wolfram's Ruliad & Computational Ontology

April 2026 Perspective Paper: Distinguishability All the Way Down: Why Multiscale Intelligence Needs a Finite-Dimensional Constraint Algebra

April 2026 Nothingness Minus One: Physical Structure from Euler's Identity. 0 − 1 = e^(iπ). Subtract identity from nothingness and you get structure?

April 2026 Grade Structure, Participation Scope, and Role-Substitution.Physics analogy through two orthogonal axes: the grade structure of the Clifford algebra Cl(5) & the participation scope of a system, parameterized by the feature count N

April 2026 Proposes a specific correspondence between a well-defined object in the Cl(5) constraint algebra and the object that physics calls the photon.

April 2026 Ongoing research: What Structural Content Each N (number of relationships) Carries, into Schur Weyl N Hierarchy

April 2026 The Architecture of the Relational Framework: Grade Structure, Participation Scope, and Role-Substitution