If there was a 3 dimensional plane existing within a 4d space and something forth dimensional casts its shadow into this 3d plane would it be physical to 3d beings on that plane?
Now theoretically a 4d object's shadow is three dimensional. But is it just a 3d image of one version of that object or is it a physical three dimensional object? Logically it wouldn't be able to be acted upon(meaning you couldn't effect the 4d object by pushing its shadow) but could it act on something else? Could a 4d object's shadow push a 3d being? Using the same logic could a 3d object's shadow push a two dimensional being? Would it be like a wall to it?
Side note: If anyone knows a better way to theoretically give mass to a shadow feel free to explain or point me in that direction.