Bifold Drag
Definition
Bifold Drag is the turning of the Bifold, a Pulsecore's skin, with its universe's spin, and the drag of that skin on the data within: the Bifold's equator moves as a spinning horizon's equator does, and the data it touches is carried round, so the interior swirls with the spin and crowds toward the equator.
The horizon of a spinning (Kerr) black hole turns with an angular velocity that, times its equatorial radius, gives a_f/(1 + √(1 − a_f²)) of light speed: zero without spin, approaching light speed as the spin approaches its limit and never reaching it. A datum that strikes a turning wall leaves it carrying the wall's motion along the surface, as a turning container spins up what it holds. In equilibrium, co-rotating radiation is hotter and denser away from the axis, its temperature rising with the Lorentz factor of its motion (Tolman), so the data gathers toward the equator, the band the Data Nova throws outward.
Formally, v_∂ = 𝒞→·a_f/(1 + √(1 − a_f²)) and n(ρ) = n₀·γ(ρ)³, where v_∂ is the Bifold's speed at its equator [𝕃·𝕋⁻¹], a_f the universe's dimensionless spin, 0 ≤ a_f < 1 [∅], 𝒞→ the local light speed [𝕃·𝕋⁻¹], n(ρ) the density of data within at distance ρ from the spin axis [𝕃⁻³], n₀ that density on the axis [𝕃⁻³], γ(ρ) = 1/√(1 − Ω²ρ²/𝒞→²) the Lorentz factor of the co-rotating data [∅] and Ω the Bifold's angular velocity [𝕋⁻¹].
It connects to Bifold, Pulsecore Data Radiance, Bifold Record Law, Bifold Containment Law, Frame Dragging and Toroidal Genesis.
Mathematical Expression
v_∂ = 𝒞→ · a_f / (1 + √(1 − a_f²)), n(ρ) = n₀ · γ(ρ)³ [𝕃·𝕋⁻¹]
Technical Details
Category: Manuscript
Chapter: Chapter 3
Importance Level: