Formal definition of Identity Space (dimensionality and metric)

[jonassiebler]

Description

Space is proposed as the foundational layer of the framework: the order of relative positions and the birth of degrees of freedom (relational, in the Leibniz sense). The public narrative (Particles of Identity blog, hierarchy Space → Particles → Time → Mass) is advancing, but Identity Space is not yet a formal core concept.

Open questions:

• Is Identity Space only a 3-positional arena, or a high-dimensional configuration space that also includes value, charge, narrative, and relational dimensions?
• How is relative distance between identity aspects measured? Is there an explicit metric?
• What is the relationship between geometric position and Possibility Space?

Without dimensionality and metric, Space remains metaphorical and cannot rigorously ground Particles, Ownership-as-degrees-of-freedom, or later formalization.

Impact

• Core claims about degrees of freedom, binding, and ownership lack a shared geometric substrate.
• Risk of incoherent use of "Space" vs "Possibility Space" vs configuration space across pages.
• Blocks precise probes and mathematical work that depend on a well-defined arena.

Mitigation / path forward

1. Write a working definition of Identity Space (dimensionality candidates, metric candidates, what is and is not included).
2. Map to relational space (Leibniz) and absolute/arena intuitions (Newton) already in Foundations work.
3. Publish as Core Concept sketch (Notion → Framework page) once stable enough for public review.
4. Keep formulas labeled inspirational until the metric is explicit.

Related: Particles of Identity (PR #22), Newton/Leibniz Foundations (PR #23), #34 Imprecise formalization.