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:

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