In reply to LastBoyScout:
> The lower it is, the more stable it is, so you don't lose energy stopping your foot rocking over the pedal.
Compared to normal life (e.g., walking) cycling puts very little stress on the ankle, so any foot 'rocking' stabilisation is trivial compared to the work (energy consumption) that the quad and glutes are doing.
> Stiff/rigid soles means your foot can't flex over the rear edge of the pedal/cleat, so less fatigue and better energy transfer.
This has been pretty much debunked these days. There's more evidence that allowing the foot to flex a bit (as it does in normal life) actually reduces fatigue over a long ride and has no effect on peak power.
In both cases, very low stack and extra stiff soles might 'feel' nicer or 'more pro', but physiologically there's no evidence that they actually help in any way with cycling. It sometimes seems like cycling fashions are about as much physics/physiology based as HiFi's passion for 'oxygen-free cables for digital signals' (etc).
TLDR: Get carbon fibre soled low stack shoes and pedals if you like the feel, but don't expect them to makes you any faster or less tired at the end of a 100 miler.
Post edited at 09:33