Theorem demonstrates past has greater informational volume than future, indicating a structural basis for time's arrow.
Theorem: under the IMM axioms, the past has greater informational volume than the future, S_past > S_future. The arrow of time is not an emergent statistical phenomenon but a structural consequence of projection-driven dynamics: the projection of completed states constructs a thicker history than the projection of unrealized futures. This produces the empirical asymmetries of memory, causality, and entropy without invoking statistical mechanics or initial conditions. Inherits from Paper 0 (axioms A1-A6).
No takes yet. Share an insight, caveat, or question.
Travis Bergen (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: