explore-dimensional-space

Purpose

Represent a problem space as validated dimensions and values, enumerate compatible combinations, map occupancy, detect gaps, and synthesize candidate questions or ideas.

Input contract

mode_contracts:
  morphological-generation: &dimensional_input
    required: [target_space, dimensions, values]
    optional: [coverage_matrix, compatibility_rules, objective]
    constraints: [dimension_semantics_and_independence_posture_must_be_declared]
  research-space-mapping: *dimensional_input
  gap-mapping: *dimensional_input

Execution protocol

Do not perform called SOP operations inline; each loaded SOP owns its contract and thresholds.

1. You MUST load skill define-analysis-dimensions to define the exploration axes. You MUST load skill enumerate-dimension-values to enumerate meaningful values.
2. Apply the selected mode's combination, compatibility, and coverage operations.
3. Retain axis dependencies and uncovered regions exposed by the selected mode.
4. When the task is not descriptive mapping, You MUST load skill score-object to score the retained regions. When a research question is in scope, You MUST load skill generate-subquestions to derive questions from those regions. If deliberate disruption is needed to escape the declared axes, consider destructive-ideation. If the main objective becomes systematic coverage repair, coverage-white-space-search may be the better next tactic. Deviation: skip scoring when the task is descriptive mapping; skip subquestions when no research question is in scope.

Output contract

mode_contracts:
  morphological-generation:
    produces: [dimension_schema, value_catalog, combination_map, compatibility_report]
    delta_fields: [findings, evidence_updates, hypothesis_updates, uncertainties, decisions, recommended_jumps]
  research-space-mapping:
    produces: [dimension_schema, value_catalog, coverage_gaps, prioritized_regions, subquestions]
    delta_fields: [findings, evidence_updates, hypothesis_updates, uncertainties, decisions, recommended_jumps]
  gap-mapping:
    produces: [coverage_gaps, prioritized_regions, subquestions]
    delta_fields: [findings, evidence_updates, hypothesis_updates, uncertainties, decisions, recommended_jumps]

Thresholds and quality gates

• Axis independence, compatibility rules, and gap representation must be inspectable.
• Scores require a declared rubric and evidence.

Failure and counterexamples

Do not call a sparse matrix a white space until compatibility and coverage semantics are checked. Merge redundant axes rather than double-counting them.

Provenance map

• resolved: morphological-exploration
• resolved: general-morphological-analysis
• resolved: cross-consistency-analysis
• concept: combination-mapping [tactic]
• concept: consistency-checking [tactic]
• resolved: dimensional-analysis
• concept: axis-identification [strategy]
• concept: combination-mapping [strategy]
• concept: gap-prioritization [strategy]
• resolved: matrix-generation
• intermediate: Pass5/morphological-search
• intermediate: Pass5/map-dimensional-research-space

Preserved source criteria ledger

source	source line	kind	source criterion
v4 architecture	node desc	textual	Enumerate compatible combinations, validate axes, map occupancy and detect gaps.

Context checkpoint / Delta notes

Append dimensions, values, combinations, pruned regions, gaps, scores, and derived questions.

Mode branches

• morphological-generation: emphasize unconstrained combination generation before pruning. You MUST load skill enumerate-combinations to enumerate the combinations. You MUST load skill evaluate-compatibility to prune incompatible combinations.
• research-space-mapping: emphasize typed dimensions, occupancy, and coverage. You MUST load skill validate-axis-independence to identify dependent axes.
• gap-mapping: emphasize absent/thin/disconnected regions and their implications. You MUST load skill detect-coverage-gap to identify absent, thin, and disconnected regions.