The Photon or the Harmonic - The Wave Function of the Particle

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The Soliton or the Simple, Natural Wave Function

The soliton function, derived from blog post Normal Distribution Function Simplified is:

A = ( ( ( ( a ^ 1/2 - ( cos ( θ ) ^ 2 ) ^ 1/2 ) ^ 4 ) rad

A = ( ( ( ( a ^ 1/2 - ( sin ( θ + Pi/2 ) ^ 2 ) ^ 1/2 ) ^ 4 )

A = ( ( ( ( ( a rad ) ^ 1/2 - ( ( sin ( ω * t + Pi/2 ) rad ) k * kg ) ^ 2 ) ^ 1/2 ) ^ 4 ) ,

A = ( ( ( ( a ^ 1/2 - ( ( sin ( ω * t + Pi/2 ) ) k  ) ^ 2 ) ^ 1/2 ) ^ 4 ) kg ^ 4 * rad ^ 4 ,

—> = ( rad ^ 2 * kg * m / s ) ^4 ,

= ( rad ^ 2 * J ) ^2 ) for 2 (circular) dimensions )

Example 1

10 rad J ~ 10 rad ^ 2 * J ^2 ,

~ 10 rad ^ 1 * J ^1 from the angular power rule

The first answer at Example 1 is the correct expression for modern physics. The classical example is indicated below. Joules must be completely angular so that

a rad ^n * J ^ n ~ a rad J.

Conservation of energy implies that Energy will change by the same scale in all dimensions of energy. Physics can only describe energy’s interactions in one dimension at a given time.

An oscillation, whether linear or circular is a particle. Particles do not vibrate or oscillate. They are the vibration or oscillations we were taught about in school and at university, respectively.

The Normal Distribution Curve is identical to the photon wave function. Please see post, Normal Distribution Function Simplified for further explanation of the function.

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