you say "Planck length"
again quote1. Granularity ≠ Resolution of the Paradox
- Planck-length discreteness would imply a minimal physical unit of space, but mathematically, any finite interval (even 10⁻³⁵ m) can still be subdivided infinitely in abstract reasoning (e.g., ½ Planck length, ¼ Planck length, etc.).
- Zeno/Dean’s core issue isn’t physical divisibility but logical consistency: How can motion occur if traversing any distance (even Planck-scale) requires crossing an infinite conceptual subdivision?
2. Quantum Mechanics Doesn’t "Solve" theParadox
Physically: No experiment can confirm whether motion truly"jumps" discretely or smoothly interpolates
- QCD’s pointlike quarks (or Planck-scale granularity) address physical measurement limits, not the abstract mathematical contradiction Dean highlights.
- Even if space-time is discrete, the paradox persists in principle:
- Mathematically: The interval [0, 1 Planck length] contains uncountably infinite points (real numbers).
