borinotus,
I admire your intellectual courage soliciting criticism of your "baby" here on this thread.
While your concept shows lots of creativity, it would not make a practical or reliable IC engine for lots of reasons.
Among the issues that I can see (some of which you seem to be aware of) are:
-manufacturing costs. Machining an accurate toroidal shaped cylinder surface would be very difficult for a new engine. And next to impossible to rework during an engine rebuild.
-size and shape. Based purely on the animations in your website, the height/width of your engine package would be about 8 times the bore size. So an engine with a 4 inch diameter bore would have a height/width of over 30 inches.
-reversing gear loads. Gears must have backlash to function properly. As a result, they don't like reversing loads. These load reversals cause very high dynamic impact loads on the tooth flanks.
-lack of control over valve timing. Accurate, and even variable, valve timing is very important for modern engine performance. Plus, automatic, spring-loaded "check" valves would produce large pumping losses.
-loss of operating clearances due to thermal expansion mismatch and structural deflections in the large mechanism components. Tight clearances between the piston and bore is critical for proper function and gas sealing of piston engines. The rigid structural nature of your "piston" assembly and the relatively large pitch diameter of the toroidal bore in the block, would seem to make it very difficult to ensure adequate piston-to-bore running clearance under all thermal conditions the engine must operate in. This situation would be made even worse with a liquid cooled block and an un-cooled crank assembly.
-poor throttle response. Your engine would likely have poor throttle response due to the high polar MOI's of the cranking assembly.
However, to be fair, your engine concept does seem to have some beneficial characteristics. The gearing arrangement provides a reduction in output shaft speed which would help simplify a car's transmission. And while the height/width dimensions of the engine would be undesirable, the overall length of the engine would be very good.
Best regards,
Terry