Chapter 35: The Compact-Object Ladder

When a star exhausts its nuclear fuel, the remnant it leaves behind depends on one number: the mass of the core at the moment of fuel exhaustion. This chapter traces the compact-object ladder—the sequence of stellar endpoints ordered by mass—in the language of Category τ.

Below the Chandrasekhar mass M_Ch ≈ 1.4 M_☉, electron degeneracy pressure (a fiber-sector phenomenon, Book IV) supports the remnant: the result is a white dwarf (§). Above M_Ch but below the Tolman–Oppenheimer–Volkoff limit M_TOV ≈ 2.0–2.3 M_☉, neutron degeneracy pressure and the strong nuclear force (the C-sector) support the remnant: the result is a neutron star (§). Above M_TOV, no known force can resist gravitational collapse, and the result is a black hole (§).

Each rung of the ladder is a readout of the competition between the D-sector gravitational coupling κ(D;1) = 1 - ι_τ and the fiber-sector pressure encoded in the defect functional of Book IV. The Chandrasekhar and TOV thresholds are relational thresholds: mass values at which the balance between sectors shifts irreversibly (§).

The chapter closes with pulsar timing (§)—the most precise clocks in nature—and their role as probes of the τ-Einstein equation in the strong-field regime.