The universe as we know it is full of waves of all kinds. The sea surface is the best example.Two of our senses, hearing and sight are specialized in the detection of waves and we have two eyes and two ears. Not a coincidence. Some waves are visible, but most do not. Louis-Victor de Broglie formulated the hypothesis that all matter also has an associated wave. Hypothesis has been confirmed experimentally. At this time some physicist believe that matter is also made of waves.
Some waves are hard to spot. If you look at the sea surface, the waves constantly change their geometry. As an example we can imagine a surface beneath the waves. If we were two-dimensional beings living in that area, would not easily detect the crests and troughs formed above and below our surface world. In this case, only the continuous change of values in the velocity field of water in our surface world would give us idea of the existence of the wave motion over our heads. But the wave pattern would not be easy to detect. The continuous wave interactions with others and the interference between them would cause a random velocity field impossible to model. The most significant direction of our velocity field would be the one perpendicular to our area. This dimension is outside of our particular universe and would be harder to detect if the surface were flat. It would be easier if the surface were nearly spherical as is the case. At this point we could detect how the velocities perpendicular to the water points changes sign, up when it comes a peak and down when it reaches a valley.
Going up one dimension we can compare the sea surface to the volume of space. In space electromagnetic waves do vary continuously in all directions. As with the sea, these oscillations would be much more visible from a fourth dimension perpendicular to our space.
We know three spacial dimensions in our universe but new theories point out that probably there are more than these. It does not seems that one further dimension is a problem for mathematicians.(Four-dimensional space).Albert Einstein showed in his theory of general relativity that space is curved by the gravitational effect. Does curve on what? We need another dimension for that.
Copyright Antonio Armero
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