lucent

Yes, It's obvious. Our logic comes from our perception of the reality and there would be no paradox if the law of conservation of energy didn't exist and we used logic of the Minkowski's space. But the problem is deeper. Even acknowledged scientists such as Stephen Hawking invent strange things such as the theoretical prohibition for a time-travel at the macro-level. Although the solution may be far simpler at the surface, but it may require to alter the equations of relativity because Minkowski's metric is a non-existent abstraction or even to introduce the theory of quantum gravity. And you are actually speaking not about the consciousness. The consciousness is a simple thing which implies continual comparison of perception with the content of our memory. You're talking about behavior which implies usage of models of reality which we get through learning. But the problem with the consciousness in the four-dimensional space is that there are no obvious reasons for the existence of the moment of present.

It seems that I had gotten a relatively simple idea which allows to justify both the problem of consciousness and the paradox of causality in the time-travel "Grandfather" paradox. I can not grasp it completely, because I'm not a physicist, so it may contain contradictions, and I need a guidance what a theory may closely match it. The problems: 1. There is a "moment of present" exists, and this is most likely just a property of our consciousness, and it's unclear where it comes from in the four-dimensional space-time. 2. There is a paradox of causality when grandchild kills his grandfather after a time-travel in the four-dimensional space-time. Because relativity theories consider the Universe as the four-dimensional space-time with some flat metric, we admit the possibility of time-travel through wormholes, closed time-like curves and so on, although this view gives the problems described above. But it's may be so, that the metric and Minkowski's space are just abstractions which describe the reality imprecisely and the evolution of the three-dimensional universe in the phase or configuration space (where the time have no direction and it's just the parameter of evolution) describes it more precisely. It's impossible to break causality through a time-travel in such a model (where the "time-travel" is just a repetition of the configuration of the Universe, although there is the second law of thermodynamics exists which prohibits this and gives us the illusion of the arrow of time) and the past exists only as a configuration of matter in our brains but not somewhere in the four-dimensional continuum. Here comes the consciousness and the moment of present: it emerges through the comparison of the facts of present obtained through the discrete perception with the facts located in our memory (we recognize things through the pattern matching with the images, symbols, terms, audible words we learned and associated earlier). So, the reality resembles an evolving three-dimensional cellular automaton in such a model. The model resembles the ideas of Roger Penrose and D. Deutsch, but they didn't say anything exactly like that and I suppose there should be some problems with the relativity. So, is there something which can read on this topic?