All physicists would agree that one of the most fundamental
problems of the 21st century physics is the dimensionality of the
world. In the four-dimensional world of Minkowski (or Minkowski
spacetime) the most challenging problem is the nature of the
temporal dimension. In Minkowski spacetime it is merely one of the
four dimensions, which means that it is entirely given like the
other three spacial dimensions. If the temporal dimension were not
given in its entirety and only one constantly changing moment of it
existed, Minkowski spacetime would be reduced to the ordinary
three-dimensional space.
But if the physical world, represented by Minkowski spacetime,
is indeed four-dimensional with time being the fourth dimension,
then such a world is drastically different from its image based on
our perceptions. Minkowski four-dimensional world is a block
Universe, a frozen world in which nothing happens since all moments
of time are given at once', which means that physical bodies are
four-dimensional worldtubes containing the whole histories in time
of the three-dimensional bodies of our everyday experience. The
implications of a real Minkowski world for physics itself and
especially for our world view are enormous.
The main focus of this volume is the question: is spacetime
nothing more than a mathematical space (which describes the
evolution in time of the ordinary three-dimensional world) or is it
a mathematical model of a real four-dimensional world with time
entirely given as the fourth dimension? It contains fourteen
invited papers which either directly address the main question of
the nature of spacetime or explore issues related to it."
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