The data we care about are not the direct result of physical laws, they are the result of chaotic systems both natural (eg. weather) and human (eg. stock market

The data we care about are not the direct result of physical laws, they are the result of chaotic systems both natural (eg. weather) and human (eg. stock markets). For your tortured analogy to bear any fruit you have to assume that we're just waiting to find a dead simple set of equations that explains all human endeavor, and after that finite memory and computation power won't be an issue because, hey, cause and effect.