Longest Straight Line Paths on Water or Land on the Earth (2018)

TEXT START: There has been some interest recently in determining the longest distance one can sail for on the earth without hitting land, as well as in the converse problem of determining the longest distance one could drive for on the earth without encountering a major body of water.

The Dissection

This is a computational-geography optimization problem disguised as a grand physical question. It converts coastlines, islands, lakes, and map data into a searchable model, then uses branch-and-bound to locate extreme straight-line paths. The result is not an eternal property of Earth. It is an optimum conditional on definitions, datasets, coordinate assumptions, and resolution.

The paper’s real function is methodological and recreational: formalize an intuitive puzzle, expose its combinatorial ugliness, and extract a globally bounded answer from messy geography.

The Core Fallacy

Relative to the Discontinuity Thesis, the central error is category error. This paper contains no meaningful analysis of P1, P2, or P3. It says nothing about AI dominance, coordination failure, ownership of productive capital, wage collapse, or the destruction of mass economic participation.

Any attempt to treat it as evidence for or against the survival of the post-WWII order is intellectual theater. The paper’s internal danger is narrower: an exact-looking optimum can masquerade as a fact about the physical Earth when it is actually a fact about a chosen geographic model. Branch-and-bound can search the model rigorously; it cannot make ambiguous coastlines, “major” water bodies, or finite-resolution data objective.

Hidden Assumptions

• “Straight line” means a particular geodesic interpretation on a modeled Earth.
• Land and water boundaries are sufficiently stable and precisely mapped.
• Islands, lakes, coastal fragments, and narrow channels are classified consistently.
• “Major body of water” has an operational definition that does not change the answer.
• The geographic dataset is complete and accurate at the scale relevant to the extremum.
• A route that is geometrically possible is treated as physically meaningful, regardless of waves, cliffs, roads, sovereignty, weather, or infrastructure.
• The algorithm’s bounds remain valid despite coastline fractality and discretization.
• A result derived from one data and modeling regime can be presented as the longest path on Earth rather than the longest path found under that regime.

Social Function

Primarily partial truth, with a layer of prestige signaling. The mathematics is aimed at a real optimization problem, but the striking title and global extremum give the output more ontological weight than the supplied abstract can justify. In the Hacker News setting, it functions mainly as high-status intellectual entertainment: a clean algorithmic frame imposed on an unruly planet.

It is not copium, propaganda, elite self-exoneration, or transition management. It has no detectable relationship to the labor regime or to the transition described by the Discontinuity Thesis.

The Verdict

This is a narrow, potentially useful mathematical exercise—not a civilizational document. Its conclusions are only as solid as its geographic definitions and data, and its economic relevance under the Discontinuity Thesis is effectively zero. The paper maps the edge of a coastline; it does not illuminate the collapse of the system built on human labor.