Pole-in-the-Barn – Dual Perspectives with Event‑Lock & Sync

Relative speed v/c β = 0.16, γ = 1.013 Barn rest length (m) Lᵦ⁰ = 6.00 m Pole rest length (m) Lₚ⁰ = 9.00 m Sync by Event‑lock (show paired times) Highlight events

Contracted in barn frame (pole):

—

Contracted in pole frame (barn):

—

Entrance event

t = —

t′ = —

Exit event

t = —

t′ = —

Barn's Perspective (barn at rest)

Entrance/Exit clocks tick at 1×. Pole front/back carry proper clocks.

Entrance t: 0.00 s

Exit t: 0.00 s

Pole‑front τ: 0.00 s

Pole‑back τ: 0.00 s

Pole's Perspective (pole at rest)

Pole clocks tick at 1×. Barn entrance/exit carry moving clocks.

Pole‑front t′: 0.00 s

Pole‑back t′: 0.00 s

Entrance τ′: 0.00 s

Exit τ′: 0.00 s

Notes: c = 1 units internally. Event‑lock shows the **same event** in both frames via Lorentz transforms. "Sync by" chooses which coordinate time (t or t′) drives the animation; the other panel displays the corresponding transformed time at x=0 for reference.