world-hopping

npx skills add majiayu000/claude-skill-registry --skill world-hopping --agent claude-code

Same command for any agent — swap --agent for codex, cursor, copilot.

# World Hopping: Possible World Navigation World hopping is the art of navigating between **possible worlds** in mathematical/musical/philosophical space. Based on Badiou's ontology and Kripke semantics, with triangle inequality as the fundamental constraint. ## Possible Worlds A **possible world** W is a configuration of: ```ruby class PossibleWorld attr_reader :seed, :epoch, :state, :invariants, :accessibility def initialize(seed:, epoch: 0) @seed = seed # Ontological identity @epoch = epoch # Temporal position @state = compute_state # Current configuration @invariants = [] # What persists across transitions @accessibility = {} # Which worlds are reachable end def compute_state rng = SplitMixTernary.new(@seed + @epoch) { color: SeedMiner.color_at(@seed, @epoch), mathematician: select_mathematician(rng), operation: select_operation(rng), polarity: [:positive, :negative, :neutral][rng.next_ternary + 1] } end end ``` ## Accessibility Relations ### Modal Logic Foundation - **Reflexive**: Every world can reach itself (∀W: W → W) - **Symmetric**: If W₁ → W₂ then W₂ → W₁ (reversible hops) - **Transitive**: If W₁ → W₂ → W₃ then W₁ → W₃ (composable paths) ### Accessibility Matrix ```ruby

just world-hop from to           # Hop between worlds
just world-graph                 # Visualize accessibility graph
just world-distance w1 w2        # Calculate world distance
just shortest-path w1 w2         # Find optimal hop sequence
just event-trigger site name     # Create and trigger event