Book V · Part VI

Part VI: Eternal Dynamics

Book V

Part VI turns to the largest questions: Where does the universe come from? Where does it go? What are black holes?

The answers all flow from a single structural principle: the same τ-Einstein equation R^H = κ_τ · T that governs stars and planets also governs the extreme regimes at the beginning and end of time. There is no separate cosmological theory. There is no separate black-hole theory. There are regimes of one theory, distinguished only by the boundary characters that enter the equation.

Twelve chapters trace the arc:

Chapters 46–47 derive the Big Bang and inflation as regimes of the τ-Einstein equation, not as separate events requiring new physics. The Big Bang is the opening of the temporal epoch at α_a = α₁; inflation is the pre-hadronic regime in which all sectors are maximally coupled. No inflaton field is introduced — the Sector Exhaustion Theorem (Part V, Chapter 44) forbids a sixth sector.

Chapter 48 constructs the threshold ladder: the canonical sequence of regime transitions L_EW → L_B → L_N → L_nuc → L_H → L_γ from electroweak symmetry restoration through baryogenesis, nucleosynthesis, hydrogen formation, and recombination.

Chapters 49–51 develop the τ-native black hole. Black holes are topological events: the emergence of a non-contractible linking class in τ³ when gravitational tension exceeds the spherical capacity. Their horizon is toroidal (T², not S²), they are necessarily bipolar (from the lemniscate boundary structure), and they obey the No-Shrink Theorem: once formed, a mature black hole cannot decrease in mass. Hawking radiation is an empirical-layer readout, not ontic mass loss.

Chapters 52–57 (second half of Part VI) complete the cosmological arc: merger normal forms, global finiteness, the cosmological endstate as eternal circulation, boundary unification, and the falsification pack.

When Part VI is complete, the universe has a biography — origin, structure, dynamics, and fate — all derived from the kernel axioms K0–K6 and the master constant ι_τ = 2/(π + e).

Chapters