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Curiosity for physics and nature of our universe is the fuel for our blog. Normalizing Physics includes discussions about classical physics, quantum physics, astrophysics etc.
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Multi-dimension
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Two dimensional projection of a ten dimensional cube |
Dimensions:
The
word dimension can be referred to as degrees of measurement. Such as, velocity
is two dimensional because to measure velocity of something we need distance
and time. Same way, acceleration is three dimensional because to measure acceleration
we need velocity and time and velocity itself is two dimensional. Again, a
company can be a multidimensional company by having several businesses under
it.
In physics, the concept of multidimensional space is interesting but it gets confusing as the number of dimensions increases. For instance, a dot on a paper is zero dimensional; if two dots are connected then we get a line which is one dimensional. Furthermore, when two parallel lines are connected then we get a square shape and it is two dimensional and also when two parallel squares are connected then we get a cube which is a three dimensional object. If we connect two parallel cubes we get a three dimensional projection of a four dimensional cube and so on.
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A four dimensional cube |
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A three dimensional cube |
In
classical physics we have three spatial dimensions where we can move up and
down, right and left, forward and backward. Moving at any direction in space
can be measured in terms of these three dimensions. In this case, the fourth
dimension is time. Using time as fourth dimension we can measure an event or
trajectory of a moving object. Nevertheless that is for recorded data. What if
we could go back and forth simultaneously in time? If it was possible then the
reality would seem like a three dimensional history book where we could choose
all the three spatial coordinates and specific time to observe an event. With
respect to time the classical mechanical equations are symmetric and quantum
mechanical equations can be symmetric if both time and other quantities could
be reversed. The sensation of time flowing in one direction is an artifact of
the laws of thermodynamics such as we experience the flow of time in the
direction in which entropy increases.
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We experience the flow of time in one direction |
There
are more dimensions beyond these four dimensions but they are hypothetical. String
theory gives rise to extra seven dimensions besides the four dimensions, in
attempting to unify the four fundamental forces in the nature. But these extra
dimensions are not experimentally proved yet.
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