Merger Compression Factor

The Merger Compression Factor is the compression a universe born in a merger-origin Null Well inherits in its Pulse Diameter, the subject of Part 6.8: the factor by which binary black hole coalescence shortens the temporal quantum, through separable contributions from mass, spin and alignment. Part 2.8 gives the physical picture of Pulse Diameter Variability and merger-origin universes; Part 6.8 gives its formal structure. Black hole class sets the factor: a Schwarzschild baseline at 1, progressively compressed Kerr geometries, and multi-harmonic binary merger signatures, classed in the Null Well Collision Channel Classification. Part 6.9 reads spin as the sole source of compression, C = 1 − κ·a_f², and bounds it below by the Kerr Floor, 0.932, where our own universe sits. Every level after a merger inherits its compression constant, so one merger compresses the whole lineage below it: the merger compressions are part of the heritage f, fⁿ = f₀ⁿ × ∏Cᵢ, and PD(n) = ☫⊕ × 2ⁿ × f₀ⁿ × ∏ᵢ₌₁ᵍ Cᵢ, with g the number of mergers in the lineage. For our universe g = 1 and C₁ ≈ 0.932, a net compression of about 7% from the uncompressed baseline. The book writes C(⇌) = F(M₁, M₂, a₁, a₂, θ⋎) = g⚛(M₁ + M₂) × s↻(a₁, a₂) × h⇉(θ⋎), where C(⇌) is the compression factor [∅], M₁ and M₂ the progenitor masses [𝕄], a₁ and a₂ their dimensionless spins [∅], θ⋎ the spin-axis misalignment [∅], g⚛ the mass factor, s↻ the spin factor and h⇉ the alignment factor, all [∅]; Part 6.9 carries the whole of it in the spin. It connects to Compression Factor, Relativistic Compression Factor, Kerr Floor, Null Well Collision Channel Classification, Null Well Heritage Ratio, Pulse Diameter Variability and Third-Generation Branch.