My five questions on the computing world

We have supercomputers. We have computer simulations. Some simulations can be quite accurate. Now I have three questions to ask:

  1. Is it possible that algorithms and computational power can grow to a point that a physical world can be simulated continuously?
  2. Is it possible that a sentimental entity can be simulated in such a system, if it exists?
  3. If such a simulation can be achieved, can we consider the machine simulating the entity a sentimental machine?
  4. Is it possible for the entity within the emulation tell if it is emulated?
  5. Is it possible that the world we currently exist in emulated? If so can we detect the emulation?

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