Finite Possibility Mechanics Modular Series: Papers, Reference Simulator, and Reproduction Map

Finite Possibility Mechanics (FPM) is a finite-resource mechanics of directed alternatives, formulated on a finite periodic cubic lattice. Each site carries bounded energy, a directed 3x3 route-cost ledger, a normalized nine-channel complex carrier, and local auxiliary state. Ordinary per-tick action is redistributed through a nearest-neighbour reversible Markov kernel and recorded in a signed ledger, yielding exact finite-graph results for local and global conservation, nodewise and regional continuity, finite propagation, equilibrium transport, and finite work capacity. The modular series separates this programme into six independently citable layers: foundations; executable reference semantics; carrier and information dynamics; a deterministic exact-integer sandbox; phenomenological bridges to quantum, thermodynamic, gravitational, cosmological, and electromagnetic observables; and an empirical audit and falsification protocol. A public Python simulator and machine-readable output reproduce the computational checks associated with Papers 01, 02, and 04. The formal and computational results establish properties of the stated model; bridge correspondences, calibrations, and retrospective comparisons are hypotheses and audits rather than independent evidence of physical validity. The series therefore presents both a reproducible construction and explicit empirical failure conditions.