Clocks used (always live):
Equilibrium condition (visual demo): The machine holds a stable field when thermal, rotation, and phase terms are small. During travel, energy rises and the beam glows red; upon arrival, it returns to white, indicating equilibrium.
Key relations (illustrative):
Δt = t_dest − t_nowLOD(Δt) ≈ 24 h + (1.7 ms / 100 yr) × (Δt / yr) (tidal friction trend → future days slightly longer)rotFactor(Δt) = 24 h / LOD(Δt)ω_⊕(Δt) = 2π / (86400 s · rotFactor)P ∝ |Δt| · (1 + |rotFactor−1|·k) (more offset → more power to maintain the bubble)Cosmic motion notes: For geologic-scale jumps, you must account for Earth’s rotation change (LOD) and long-term orbital/axial effects. In this demo, the rings’ bob and intensity encode that: larger |Δt| → faster bobbing and brighter beam. Historically, tidal friction slows Earth’s rotation; orbital period changes are smaller but can be modeled if desired.
Interpretation: If the destination is far, |Δt| is large → the simulator shows higher field activity (faster bob, photons, particles). When you press Travel, Δt converges toward zero, the beam transitions red→white, and the rings/particles return to stable rates, indicating synchronized arrival.