  Cats use the connection governing parallel transport in the space of shapes
to land safely on their feet. Here we argue that this connection also explains
the impressive performance of molecular motors by enabling molecules to evade
conclusions of Feynman's ratchet-and-pawl analysis. We first demonstrate, using
simple molecular models, how directed rotational motion can emerge from shape
changes even without angular momentum. We then computationally design knotted
polyalanine molecules and show how their shape space connection organizes
individual atom thermal vibrations into collective rotational motion,
independently of angular momentum. Our simulations show that rotational motion
arises effortlessly even in ambient water, making the molecule an effective
theory time crystal. Our findings have potential for practical molecular motor
design and engineering and can be verified through high-precision nuclear
magnetic resonance measurements.
