Accelerator Magic Device "Accelerator" [Pocket Watch]

《Otherworldly General Store》
  Trinkets You Might Find in Another World

~・~・~・~・~・~・~・~・~・~

lim (Δt → 0) (ΔΨ / Δt) = dΨ/dt = v_a

∴ v2_a^2 - v1_a^2
 = a_a (t2^2 - t1^2) + 2 κ (x2 - x1)

AC: a_a = dv_a/dt = d^2Ψ/dt^2 + λ sin(ω t)

SP: v_a = ∫ a_a dt
         = a_a t + v0 + (λ/ω) (1 - cos(ω t))

DIS: Ψ = ∫ v_a dt
       = ∫ [a_a t + v0 + (λ/ω)(1 - cos(ω t))] dt
       = (1/2) a_a t^2 + v0 t
         + (λ/ω) (t - (1/ω) sin(ω t)) + Ψ0

|v_a| = sqrt(vx_a^2 + vy_a^2 + vz_a^2)
      = sqrt((dΨ/dt)^2 + (dy/dt)^2 + (dz/dt)^2)

∫(t1 → t2)
 sqrt((dΨ/dt)^2 + (dy/dt)^2 + (dz/dt)^2) dt

Φ_a = e^(μ t) * (a_a + κ Ψ)

∴ a_eff =
[a_a + κ Ψ + μ v_a] / (1 + tan^2θ)


Through the extraordinary computational abilities of a certain alchemist,
this pocket watch evolved into an accelerated computation magic device.

When magic and sorcery merge,
a new world will open.








Movement: Quartz
Diameter: Approx. 2.3cm
Thickness: Approx. 2.3cm
Total Chain Length: Approx. 80cm