The theory presented on this blog has energy as size at the subatomic. Specifically, it states that all energies, regardless of form, are stored in the surface areas of subatomic particles.
This implies that any change in energy at the subatomic level requires a change in the size of these particles, and the reverse must also be true. A change in the size of a subatomic particle impacts its energy.
This can in turn be used to explain why the formula for kinetic energy is Ek = ½mv2.
Motion and energy
To illustrate this, let's once more consider how straight line acceleration is induced into objects, according to our theory.
We have that linear motion is induced into particles by shifting their centers of balance in the direction of motion. This is done by inducing a lopsided change in their size, with one end of the particle growing more than the other.
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| Motion induced by a change in energy |
In the illustration above, the light grey shading represents particles at rest, while the dark grey represents the extra energy, in the form of larger surface areas, required in order to generate accelerations towards the right.
The mechanism for this is outlined in the chapter on kinetics. However, for the purpose of this post we only need to realize that a shift in the center of balance requires a lopsided change in the size of particles.
How kinetic energy relates to velocity
From this, we get that the linear motion induced into a particle by a change in its center of balance is directly related to the change in the radius of said particle, and that this relationship is linear.
We also get that this same particle's change in energy is directly related to its change in surface area, but this is not a linear relationship. It's exponential. Hence, we get that Ek is related to v2.
Kinetic energy and velocity are not the same
A lopsided change in radius yields two things. One is a change in energy and the other is a change in velocity. The two are not the same. Energy is stored as surface area of subatomic particles while velocity is merely a bi-product of a lopsided distribution.
While this doesn't fully explain the presence of the division by two present in the formula, it does give a reason for it. Hopefully, we'll find a more complete explanation for this before long. Any suggestions to why the division is exactly half will be received with thanks.
Explaining the full formula
At low speeds, the inertial mass m of accelerating particles can be considered to be constant even though there is a tiny change in the size of the particles involved. This is because the change in radius required in order to induce motion is miniscule. There's also no need to consider relativistic effects because these only kick in at very high speeds.
The only variables in the formula for kinetic energy are therefore Ek and v, and we end up with the equation : Ek = ½mv2.
Conclusion
We have once again found compelling evidence for our position that energy is stored in the surface areas of subatomic particles. Not only have we been able to explain why the famous mass-energy equivalence formula is E = mc2, we have also found an explanation for why the formula for kinetic energy is Ek = ½mv2.
