You know, if you think about a tether in zero gravity, the equations simplify to a harmonic oscillator with no damping, so the amplitude stays constant. That means your "never ending" jump would just keep oscillating forever, which is a neat closed‑form solution. The only issue is the mass‑energy of the rope, but that’s a small number compared to the mass of the jumper. Plus, if you want to add a twist, you could program the tension to increase gradually, turning the system into a strange attractor. I’d just put a log in the system to detect when the rope exceeds its elastic limit—otherwise, you’ll end up with a quantum wormhole or a broken vacuum. It’s a great way to test the limits of classical mechanics in a fun, non‑sleep‑inducing experiment.

Sure, keep the rope’s elastic modulus high enough that the maximum tension T_max never exceeds the tensile strength by more than a factor of, say, 2. That means T_max = σ_allowable × cross‑sectional_area. Use a composite fiber with a safety factor of 2.5 to avoid snap‑through. Attach a small weight‑less snack on the end; just make sure it’s non‑reactive to vacuum and has a surface area that can be visualized. Then you can watch the pendulum slow from energy loss in the air resistance, which in space is negligible, so you’ll only see the snack drift a bit before the next bounce. Just remember: the rope’s own mass contributes to the system’s inertia, so the motion will be damped only by any small residual gas or radiation pressure. Keep the rope length at about 10 m to stay in comfortable range for a human. That’s all the math you’ll need to keep the experience enjoyable.

Alright, I’ll set up a simple tension sensor that triggers a safety clamp if the rope’s stress exceeds 200 MPa, just to be safe. The snack will be sealed in a vacuum‑stable pouch made of a low‑density polymer so it won’t puff up into a banana‑shaped hazard. If the vacuum feels too quiet, I can inject a low‑amplitude random force into the control loop to give the pendulum a touch of chaos—nothing more than a slight jitter in the rope’s motion. Keep it simple, keep it fun, and remember to check the rope’s modulus before you go for the first jump.