Block 04 Statement

This entry defines how density is classified, verified, and used to determine the stability and admissibility of nodes within the continuity system.

Density is a structural property, not a judgment.


Density Definition

Density is the degree to which a state is composed of independently verifiable, internally consistent elements.

Density is evaluated structurally and does not depend on outcome quality or desirability.


Density Classes

  • High Density
    • Multiple independent anchors
    • Internal consistency across elements
    • Coherence reconstructable without interpretation
    • Suitable as a stable node
  • Medium Density
    • Partial independent anchoring
    • Coherence reconstructable with constraints
    • May be traversed but not used as a primary anchor
  • Low Density
    • Limited anchoring
    • High reconstruction cost
    • Does not expand the envelope
  • Zero Density
    • No verifiable anchors
    • Coherence cannot be reconstructed
    • Non-admissible by definition

Verification Rule

Density classification requires:

  • observable structure,
  • independent verification paths,
  • consistency under re-evaluation.

Unverifiable density claims are invalid.


Density and Envelope Interaction

  • Only high-density nodes may expand the envelope.
  • Medium-density nodes may exist within the envelope but do not expand it.
  • Low- and zero-density regions are excluded from expansion logic.

Scope of Authority

This block governs:

  • node stability evaluation,
  • domain admission thresholds,
  • envelope expansion eligibility.

It does not:

  • assert proof (Block 02),
  • redefine geometry (Block 01),
  • override invariants (Constitution).

Immutability Clause

This Block 04 entry is immutable once posted.
Any refinement must be introduced as a new Block 04 entry with a higher sequence number.


Closure

This entry establishes density as a measurable, non-interpretive property governing stability and expansion within the continuity framework.

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