Physics: The Fine Structure Constant
Explaining the Fine Structure Constant with Resonant Coupling of the Wave Structure of Matter in Space

Dear fellows of the WSM team,

The origin of constants in the framework of WSM is a puzzling question that can be put like this:

i) How constants like the fine structure constant, the Planck constant h, the speed of life c, and so, can be embedded in the wave structure of particles, so that they appear the same every time every where?

ii) What is the wave mechanism able to conserve and reveal them when needed?

Let me tell you a fine story.

We assume that the universe is filled with around 1080 particles. The half base 2 logarithm of this value is around 137. And we know that the base 2 logarithm is that of information, particularly when using binary choices.

In our electron model, the emitted out-wave leaves the particle, travels through the universe and comes back as in-wave towards the particle. Doing that, the wave crosses other wave center 'particles' without forcibly establishing interaction with them if phases do not mach. As Milo Wolff put forth in his book Exploring the Physics of the Unknown Universe (p.90), we assume that the wave interacts with the square root of the number of particles in the Universe, be 1040. The wave is slowed down by every encounter. So we can easily assume that the wavelength of the coming back in-wave which carries information is shorter than the emitted one according to the ratio L0/137, L0 being the fundamental wavelength, = c/f0 of the relation:

hf0 = m0c2

If you look at the animation on this page,

where the difference between the two waves is L/10, you see that the phase wave passes over the particle, each time the particle has traveled L/10 -I name this one repositioning which occurs with the frequency f. So in our electron case, for every repositioning with the frequency f0, the electron displaces of L0/137.

In the universe, everything is moving and, even for a particle at rest, at every repositioning the new position of the particle is slightly different, distant every time of around L0/137 from the previous position. So, that produces a fuzziness in a certain area that gives the electron the appearance of having this width, the physicists call that its radius R (Milo Wolff, p.132):

R = e2/mc2 = L0/137

and we obtain easily from this formula the elements of the fine structure constant known with this precise value :

e2/hc = 1/137.036

Moreover, as we see again on the animation every 10 wavelengths, the phase wave swells to its maxima; that occurs for the electron every 137 wavelengths. So at that distance, or its multiples, of the particle appears a peculiar, spherical structure where amplitudes are maximal. This structure is able to play a role in electromagnetic interaction between particles.

In the Balmer-Rydberg formula, the Rydberg constant is :

R = me2/4pi hbar3

which can be written as;

e4/(2hbar2 c2 L0)

We find again the square of the fine structure constant, multiplied by the wavelength. This gives the radius of the first orbit of the hydrogen atom and overall explains why it is like that.

This demonstration gives us to feeling of the great power of WSM : providing clear explanations for poorly known physical phenomena; here, a mere difference between the wavelengths of in- and out- waves is sufficient for explaining the mysterious value, 137.036, of the fine structure constant we find everywhere in the particle and as well in the atom.

Great cosmic thoughts for all of the WSM team.

Denys Lépinard


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