Thanks :) It's just a game, rather than a serious effort to make sense of silver age crack. I'm happily surprised someone else enjoyed it at all.
It's kinda fun, mainly because there are all sorts of spaghetti messes out there that are presumed real observables (i.e., they're repeatable using multiple instruments) in a number of fields of natural science which seem at first glance not to fit best-tested theory. There are even more of those on the bleeding edge of inquiries into natural phenomena that are still at the stage of hypothesis formation, seeking to reconcile theory and observation or experiment, or to extend an incomplete theory from the limits in which they reconcile perfectly, or (possibly) to discard theory as incorrect.
Sometimes speculative fiction is a way of exploring a new hypothesis, using a plot as a form of inductive reasoning about implications using methods less rigorous than formal methods (i.e., mathematics). Some people do well in that area, including a number of good "hard" science fiction writers (Asimov, Bear, Clarke, Varley (alphabetically)). Others are interesting precisely because they do make mistakes, and it's worth finding and exploring them as an exercise in deductive reasoning, again using something that can be more accessible -- and more fun -- than formal methods.
These approaches combine nicely in superhero stories. :-)
A zebra-Batman or Zebra-Man actually being physically here on Earth -- touchable, studiable -- would be really fascinating. "How does it work?" Zebra-Man's explanations' reliability aside, they sure are terse!
In observational cosmology (astronomy-at-a-distance :-) ) there are all sorts of weird things in the sky that raise "how does that work?" questions. Among these are the apparently increasing metric expansion of space (dark energy), the unusually fast galactic rotation curves and unusually large microlensing and other indications of big deviations in brightness/angle/mass ratios (dark matter), and the cosmic microwave background cold spot (??? statistically expected due to the law of large numbers? uneven "inflaton" field? ???).
One of these oddities (dark matter) is somewhat consistent with a thermal neutrino-like particle (ΛCDM - cold dark matter, made of "WIMPs" (weakly-interacting massive particles)). So me advancing the idea of a weakly interacting, low intrinsic energy particle implicated in some invisible non-electromagnetic, non-gravitational acceleration is not an especially novel idea.
(Sean Carroll (cosmicvariance.com) has even advanced the (very speculative) idea of dark matter charges, which are probably an even better fit to zebra-Batman depending on how they interact with normal matter).
However this reduces to a question of where does all the freaking energy radiating out of zebra-Batman and Zebra-Man come from? We see energies of hundreds of kilojoules being used to displace the larger objects several metres in these panels, so on the order of 1e24 eV/c² which is *a lot* of electronvolts given that a normal neutrino has a very tiny mass (less than 0.3 eV/c²).
(And a lot more if you think of zebra-Batman as radiating a roughly uniform sphere of tree/rock/person moving particles, since the objects have small solid angles at the distances shown; the "glow" around zebra-Batman is very possibly superheated air, or Cerenkov radiation (there is a very pretty picture of that on wikipedia)).
By comparison, strenuously-exercising-Batman-with-a-fever might produce short bursts of 400 joules/second (400 watts), and just wandering around, more like 100 watts. This sort of human power will move something small just fine (think of a baseball pitcher), but not a tree.