The Strength of the Index: Compression and the Resolution of Worlds

Inner Worlds proposed that a world is the resolution a sufficiently strong index draws from a field of admissible possibilities, but left the index’s strength unexplained — inviting a homunculus, something that selects or strengthens the index from behind. This essay proposes that the strength is compression depth: a more compressed configuration carries more constraint per degree of freedom, so fewer worlds remain admissible and the index collapses the field harder and more specifically. More precisely, the index performs two operations — selecting which world to resolve, and resolving the admissible field within it — and compression depth is the account of the second; the prior operation of world-selection is named here as open frontier rather than solved, and positioned against the frame problem and abduction rather than claimed as novel. The diachronic accumulation of that constraint and its synchronic expenditure as resolving power are one mechanism at two timescales; on this account the regeneration described in Knowledge Removes Worlds and the resolution described in Inner Worlds are not two operations but two pressures — collapse and expansion — whose opposition is a driven steady state, not an equilibrium but a holding-open; and self-coherence, Cself — reconceived here within Inner Worlds’ diachronic continuity, since a perfectly continuous configuration can be a roomless corridor — is the manifold that steady state holds open, the region a self can still occupy. The account is bounded as before: it concerns the structure of resolution, not its phenomenal character; semantic binding, not perceptual; and it is advanced as a candidate, not a result. Where it touches measurement — interaction structure shaping activation geometry — the coarse prediction is borne out across models and the fine one is not, which the closing sections take seriously rather than around.