We have shown throughout “The Imagineer’s Chronicles observations of our environment suggest the universe may be composed of four *spatial* dimensions instead of four-dimensional space-time.

The observation that the energy contained in systems is related to distance not time is one of them.

For example, the potential energy per unit volume of water in a dam is related to the distance separating the surface of the water from the bottom of the dam

We also observe the kinetic energy of an orbiting satellite is oppositely directed form the gravitational potential energy stored within the mass it is orbiting.

However these observations support the assumption made in the article "The Reality of the Fourth Spatial Dimension" that both gravitation and  the kinetic energy is related to distance not time because the energy of the water in a dam and the velocity or distance an object travels per unit of time remains constant no matter how much time has passed unless it is acted upon by some outside force.

Granted the power an energy source can generate is determined by the rate or time required for the dissipation its energy however, the total quantity of energy in a closed system is never observed to be effected by the passage of time.

This suggests the energy contained in all systems is related to a spatial not a time property of a dimension.

As was shown in the article "The Reality of the Fourth Spatial Dimension“ one can define the causality of energy in terms of a curvature or displacement in a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension as well as one in a space time environment.

As that article showed the gravitational potential energy stored within mass can be derived in terms of a displacement in a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension while the kinetic energy associated with its motion in terms of an oppositely directed one.

One of the advantages of defining energy in terms of four *spatial* dimensions instead of four dimensional space-time because it gives one the ability to understand the asymmetrical relationship between potential and kinetic energy mentioned earlier by defining them in terms of oppositely directed movements or displacements in a "surface" of a three-dimensional space manifold with respect to a fourth *spatial* dimension.  This is because observations of our three-dimensional environment tell us that one can move asymmetrically in two directions upward or downwards in a *spatial* dimension.

This cannot be done in terms of four dimensional space time because time or a space-time dimension is only observed to move in one direction forward and therefore cannot support the bidirectional movement required to to support the asymmetry between kinetic and potential energy.

In other words one can explain the difference between kinetic and potential energy in terms of oppositely directed displacements in that "surface" of three dimensional space manifold with respect to a fourth *spatial* dimension. 

This shows why it would be more consistent observations to define space and derive potential and kinetic energy in terms of the existence of four *spatial* dimensions instead of four-dimensional space-time.

Later Jeff

Copyright 2007 Jeffrey O’Callaghan


 

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4 Comments to “Defining potential and kinetic energy?”


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