The Vessel Problem

The Vessel Problem: A Falsification-Driven Research Programme on Interstellar Navigation (24 Papers + Synthesis) What survives when every beautiful idea about interstellar travel is forced to pay in numbers? This corpus is a single extended experiment in method: an open speculative research programme in which bold hypotheses — topological vacuum propulsion, comet-style gravitational capture, binary stars as braking infrastructure, relativistic crossings, self-replicating industry — are systematically confronted with quantitative falsification. Every paper ends in an explicit falsification ledger. Failed ideas are not discarded but documented as results: the corpus deliberately preserves both the route that survives and the museum of elegant ideas that did not, together with the scaling laws that killed them. Starting from quantum vacuum topology (Series I: Möbius boundary conditions — spectral signatures survive, propulsion is falsified by momentum conservation), the programme catalogues eleven momentum-bearing cosmic structures (the Census of Winds), converges on laser-pushed sails with magnetic-sail braking, and then matures the architecture wall by wall: beam-riding stability (a cone-on-donut-beam solution raising stable trajectories from 18% to 78%), ppm-class multilayer sail skins, the century-scale low-velocity braking "tail" and its layered cure, capture-without-stopping via reverse-Oberth photogravitational dives, and a two-ended beam architecture (the Lighthouse Line) whose far terminal is grown in situ by a 100-tonne self-replicating seed factory rather than transported. Among the quantitative results: a 1/v scaling law showing why stellar photogravitational assists catch slow ships and not fast ones (deficit ×14,000 at 0.5c); a bandgap-limit argument (E_g ≤ 14 eV) bounding ppm mirrors above ~220 nm, and its "chromatic inversion" workaround (mid-IR braking beams blueshifted into band); a growth-law audit showing maintenance acts as a tax, never a wall (T₂_eff = T₂/(1−f_m)); a decomposition theorem reducing a 237-year programme-continuity problem to ~50 years of active commitment plus a single surviving transmitter; and an end-state timetable: 8.7-year crossings for crewed vessels, 4.9 years for freight, with relativistic dust impacts — not materials or energy — emerging as the binding constraint above 0.5c. One chapter (Paper 17) deliberately crosses the edge of the falsifiable and carries an explicit "conjectural chapter" banner; every claim in it is tagged as established physics, engineering extrapolation, declared conjecture, or non-empirical. All open parameters are flagged and assigned. The falsification ledgers are the living part of this work: criticism aimed at them lands exactly where it is wanted. Structure: Corpus Preface & Synthesis (start here) · Series I: The Möbius Vacuum (4 papers) · Paper 0: The Census of Winds · Series II: The Vessel (7 papers) · Series III: The Art of Navigation (12 papers).