Overview
The Dimensional Emergence Framework (DEF) is a structural framework for describing how stable regimes can emerge from minimal distinctions.
DEF is built around a guiding idea:
- “Dimensions” are not assumed as geometry.
- They are treated as minimal differentiations required for stability and interaction.
DEF separates ontological primitives (what must be assumed) from regime representations (how a stable regime may be described, e.g., spacetime or cognition).
What DEF tries to answer
Section titled “What DEF tries to answer”DEF addresses a minimal question:
What is the least structure required for a regime of reality to exist, remain stable, and support interaction?
It aims to provide:
- a minimal set of primitives,
- a closure-based notion of regime stability,
- a systematic path from abstract structure to concrete realizations,
- and structural derivations for constants like (1/137) and baryon ratio.
The core picture in one view
Section titled “The core picture in one view”DEF starts from an undifferentiated ground state and introduces a minimal differentiation that yields two coupled aspects (often written as Existence (E) and Happening (H)).
From these, DEF identifies four minimal operative modes required for macroscopic stability:
- S (Structure)
- R (Space / Room)
- D (Dynamics)
- X̂ (Exchange)
These modes form a four-mode kernel that must remain closure-stable.
Regime ladder (structural)
Section titled “Regime ladder (structural)”The following table is a structural ladder, not a geometric one.
“Level” labels are used only to indicate increasing differentiation and closure complexity.
| Level | Structural description | Minimal content | Typical representation (optional) |
|---|---|---|---|
| R0 | Undifferentiated ground | Being (B) | none |
| R1 | First differentiation | (E, H) as coupled aspects | pre-metric ordering |
| R2 | Minimal macroscopic kernel | {S, R, D, X̂} as operative modes | proto-regime (non-metric possible) |
| R3 | Closure-stable regime | self-reference + constraints + phases | metric / spacetime-compatible window |
| R4+ | Higher-order regimes | additional structure built on the kernel | cognition, agency, complex observers |
This ladder is intentionally conservative:
it states what must be present structurally, without assuming a specific physical theory.
Key Structural Insight
Why 137?
DEF suggests that physical constants are not arbitrary, but results of closure constraints. A minimal experiment demonstrates how the interplay of 144 coupling channels and 7 mandatory self-references structurally yields the fine-structure limit ().
What makes a regime stable in DEF
Section titled “What makes a regime stable in DEF”A stable regime is characterized by three structural layers:
-
Self-references
The kernel can refer to itself (seven minimal self-referential relations). -
Constraints
Admissible compositions remain bounded and closure-stable (five minimal constraints). -
Phases
Admissible configurations are traversed in an ordered pattern:
Entry → Crisis → Resolution
These are structural conditions, not dynamical laws.
How DEF is organized
Section titled “How DEF is organized”DEF is organized into two main parts:
-
Core
Defines the minimal foundation: primitives, differentiation, operative modes, closure, self-reference, constraints, and phase ordering. -
Domains
Formalizes and applies the Core in specific contexts (Physics & Math, Neuroscience, AI Architecture, Biology, Psychology, etc.).
No domain introduces new primitives. All domain work is constrained by the Core.
Where to go next
Section titled “Where to go next”-
Start with the minimal foundation:
→ Core -
Then continue with formal development and spacetime mapping:
→ Physics & Math -
Or explore applied domains:
→ Neuroscience & Consciousness
→ AI Architecture
What DEF is not
Section titled “What DEF is not”DEF is not presented as a replacement for established scientific theories.
It is a structural frame intended to:
- clarify preconditions and boundaries of regime descriptions,
- explain why certain representations are stable,
- and make regime transitions and failure modes formally expressible.
Empirical claims require a selected formalization and an explicit measurement model.
Status
Section titled “Status”DEF is an active work in progress.
The Core provides a stable baseline.
Domain sections are expanded iteratively and may change in structure and depth.
If you want to cite DEF, see: