Tapeworm said:
"And yet it does move."
Amazing how we can get a bike to move with all this negative torque in the equation. And "...and biology, because of the necessary recruitment of less efficient fast twitch fibers when pushing harder..." is pure gold, keep 'pushing' that one. Whilst physics is not my strongest suite I think that your take on thermodynamics is a little narrow, remembering that it takes in the system. Total work. Remind me what all these studies involving power cranks have shown.
Of course we get it to move, 2 year olds can get a tricycle to move (and Fergie can see no room for improvement in their technique). The question is whether what people are doing is optimal or not?
If you look at the "system" the thermodynamics analysis becomes simple. If one is working against oneself in order to get the energy out of the system and to the wheel it simply cannot be as efficient as if the "system" does not contain these inefficiencies.
The fact that physics and thermodynamics (and, I presume, biology) are not your strong suite should give you pause in coming here and arguing about things with someone trained in all of these disciplines where these issues are paramount in the analysis .
And, what have all those studies shown. Well, they have shown a mixed bag with none lasting more than 6 weeks. However, the one that had the subjects that should be the easiest to change (lesser trained subjects) was able to show statistically significant efficiency improvement in that 6 weeks (18 sessions) and the one that had the highest intensity of involvement (immersion training, 8 hours/week for 6 weeks) showed power and VO2 max improvement. Lesser studies have not reached that level of change. That is not necessarily the fault of the product since in our experience most new users are just beginning to feel comfortable with the product and be able to start riding hard on them in 6 weeks.
Oh, one thing you haven't addressed earlier which I posed:- how does removal of the negative torque part of the pedal motion by applying positive torque on the upstroke deal with thermal stress?
The simply removing the negative torque and reducing the pushing stress the same amount reduces the "thermal stress" because, once the new muscles are trained to do the unweighting, it reduces the percentage of fast-twitch fibers being utilized for the same power. Since FT fibers are less thermodynamically efficient, the thermodynamic load is reduced. Now, if that were the only change, the benefit would be small because the total contractile muscle mass would be the same (although there would be more reserve for the rider to push just as hard again so overall power potential increases as the CV system adapts, which takes time). But, as the rider starts utilizing the entire circle the rider has to start anticipating the directional change of the pedals and the applied force becomes more tangential. Now, this is a big deal because as the applied force becomes more tangential a smaller applied force to the pedal gives the same tangential force, keeping power the same. This change can result in large reductions in thermal (energy) load for any given power, increasing efficiency.