Does creative time obey Lorentz transformations? (Muon decay conjecture)

Determine whether creative time transforms under Lorentz transformations; in particular, test the conjecture that in cosmic-ray muon decay experiments the indeterministic actualization of the decay outcome occurs only inside the detector at rest in Earth's frame, implying that creative time does not undergo relativistic time dilation even though the muon's deterministic propagation (geometric time) does.

Background

The muon-lifetime time-dilation effect is often taken to suggest that creative time—the indeterministic aspect associated with actualization of outcomes—also transforms relativistically.

The authors propose an alternative conjecture: the muon’s propagation is deterministic (geometric time), while the actualization of the decay outcome (creative time) happens only within the detector at rest with respect to Earth. If correct, creative time would not necessarily follow Lorentz transformations, challenging a common inference from the muon time-dilation example.