Prologue: Where Does Physics Live?
The Central Theorem is proved and the holomorphic machinery is in hand. But τ³ = τ¹ ×_f T² does not look like Cartesian three-dimensional space. Where,…
Part Overview
The Central Theorem is proved and the holomorphic machinery is in hand. But τ³ = τ¹ ×_f T² does not look like Cartesian three-dimensional space. Where, then, does physics live?
The naïve answer—take three solenoidal coordinates (π, γ, η) and call them spatial dimensions—fails: solenoidal coordinates are one-sided rays, not two-sided axes, and they carry no canonical linear structure. The correct answer is subtler. The fibre T² at each worldline point is a surface—the two-dimensional boundary of a solid torus. The Hartogs extension projects boundary data from this surface into the three-dimensional bulk interior, and the interior coordinates are genuinely linear. Perceived three-dimensional Cartesian space is this Hartogs-projected bulk.
The central task of Book III is to show that these local bulk projections—one per worldline—glue together into a single, globally coherent three-dimensional space. Each of the seven Clay Millennium Problems, together with the Langlands programme, provides a specific piece of this gluing guarantee. The self-enrichment layer E₁ is precisely the statement that local spatial structures cohere globally. Physics is E₁.
Chapters
Chapter Navigation
Part pages expose the chapter path as navigation only. Chapter pages carry the individual abstracts and anchors.
Registry and TauLib Anchors
Registry anchors
No explicit Registry anchors are declared at part level yet.
TauLib links
No explicit TauLib module is mapped for this part yet.