Of Zombies and Star Trek

I realize this might be an odd post. Bear with me.

I was working through the problem of zombies last night. It occurred to me that it is imaginable that a zombie apocalypse at the same time as the Resurrection of the Body, there would be interesting issues of numerical identity. If zombie X were to take bites of persons A, B, and C (I suppose this is really an issue of cannibalism and numerical identity although the zombie thing makes it a little more fun) have those bites of the now infected persons A, B, and C gained numerical identity with zombie X or are they still in numerical identity with the newly infected? Then if you kill zombie X in one room and close that room off, but then the Resurrection of the Body takes place quickly thereafter could you have then persons A, B, and C? In a horror movie we would strip out the Christian language from this and just leave the numerical identity and philosophical aspects. If these were to be taken out you would end up with zombies A, B, and C. Moreover, any food they might have eaten that could have had the trace elements in a particular person would also then beget further zombies and quickly you could see that there would be thousands of zombies.

How any of this relates to Star Trek is in relation to how some of the technologies on a star-ship could be of benefit, forcefields, doors that only recognize lifesigns to open and the like, in the event of a zombie apocalypse. Also, if there were no living crew but one and a holographic doctor, how could they come out of their ship and be rescued if they did not know if others had been infected without yet turning into zombies?

I realize this was quite tangent to the purpose of this blog but it was an interesting set of premises for numerical identity and being which my mind set up. I basically dreamed this last night if that tells you anything about how my mind works.