Book I · Chapter 20

Chapter 20: Dimension and the Fibration Preview

Page 79 in the printed volume

The ABCD chart assigns four coordinates to every object. Are these coordinates independent? Could the universe be described by fewer? This chapter proves that dim_τ = 4: the four ABCD coordinates form four pairwise independent refinement rays, and no three coordinates suffice to address all objects. We then preview the fibration structure: the 1+3 split corresponds to base τ¹ (coordinates D, A) and fiber T² (coordinates B, C), foreshadowing the central geometric object τ³ = τ¹ ×_f T² that will dominate the rest of the Panta Rhei series.