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Dimensional Emergence Framework

Core

The Core defines the minimal foundations of the Dimensional Emergence Framework (DEF).

It introduces the ontological primitives, formal distinctions, and structural conditions that are required for any regime of reality to emerge and remain stable.

Everything outside this section, physics, mathematics, neuroscience, or applied domains, depends on the definitions given here.

Scope of the Core

Section titled “Scope of the Core”

The Core addresses a single question:

What must be the minimal structure in dimensionality for reality to unfold at all?

It introduces:

  • minimal ontological assumptions,
  • formal (but non-metric) notation,
  • the first necessary differentiations,
  • and the concept of regime stability via closure.

It does not attempt to explain empirical phenomena or derive physical laws.

What the Core provides

Section titled “What the Core provides”

Within the Core, DEF establishes:

  • Being (B) as an undifferentiated ground state
  • Differentiation (Δ) as a logical necessity
  • Existence (E) and Happening (H) as the first coupled distinctions in dimensionality
  • Operational modes required for macroscopic stability
  • Regimes defined by closure under relations

These elements form a minimal but sufficient foundation for all subsequent extensions.

What the Core does not provide

Section titled “What the Core does not provide”

To avoid category errors, the Core explicitly excludes:

  • physical dynamics or equations of motion,
  • spacetime metrics or coordinate systems,
  • empirical constants or measurements,
  • phenomenological or experiential claims.

Such topics are addressed inside the specific domain sections. There may be currently still a lot of undone work.

Structure of the Core

Section titled “Structure of the Core”

The Core is organized as a sequence of increasingly specific distinctions:

  1. Notation & Minimal Formalism
    Introduces symbols and formal conventions used throughout DEF.

  2. Being
    Defines the undifferentiated ground state and its limitations.

  3. Differentiation
    Introduces the first necessary distinction: Existence and Happening.

  4. Operational Modes
    Defines the minimal set of co-equal modes required for macroscopic stability.

  5. Regimes & Closure
    Formalizes regime stability and the necessity of regime transitions.

  6. Interpretation Boundary
    Clarifies how the Core relates to later physical and mathematical developments.

How to read the Core

Section titled “How to read the Core”

The Core is intended to be read linearly.

Each section:

  • introduces concepts that are assumed in the next,
  • avoids forward references,
  • and remains valid even if later domain interpretations are revised.

Readers primarily interested in applications may skip ahead, but all interpretations ultimately rely on the Core definitions.

Relation to later sections

Section titled “Relation to later sections”
  • Physics & Math formalizes and explores consequences of the Core structures.
  • Supplement extends the framework to higher-order domains (e.g. cognition).
  • Domains apply the framework to specific scientific or engineering contexts.

None of these sections introduce new primitives.

This section establishes the conceptual and formal baseline of DEF.