# Second fine-structure constant β—definition & calculation

Zhen-hua Mei

Fine-structure constant as a well-known natural constant in physics was first defined and introduced by Sommerfeld in 1916. According to quantum mechanics, it got forms as,

α = v/c = e2/2ε0ch

Due to the emergence of the concept of acceleration of circled light[1], the α can be said as spead fine-structure constant.

Therefore, we can define the second fine-structure constant, β, which can be called as acceleration fine-structure constant. It ought has form as,

β = ae/a

where, ae represents the acceleration of electron in ground state hydrogen atom, a the extreme acceleration of circled light in the universe.

And following, v represents the speed of electron in ground state hydrogen atom, r the radius of hydrgen atom in ground state, m the mass of electron, h the Planck constant, c the speed of light, R0 the radius of light based manifold, ε0 the dielectric constant in vacuum, k1 and k3 are the bending coefficient in B. Feng's theory, and k1 = 0.978146542, k3 = 0.990072353.

As we know,

ae = v2/r = (αc)2/r,  and r = h/2πmv = h/2πmαc

then,

ae = (αc)2/h × 2πmαc = 2πm(αc)3/h

According to B. Feng's new physics theory,

m = 3k1*(2k3)2/128*(2π)2 × h/cR0

So,

ae = 3k1*(2k3)2/128*(2π)2 × h/cR0 × 2π(αc)3/h

= 3k1*(2k3)2/128*(2π) × α3 × c2/R0

As a = c2/R0 in B. Feng's theory[1], we finally get,

β = ae/a = 3k1*(2k3)2/128*(2π) × α3

β = 0.01430636163 × α3

β = 5.559365239 × 10-9

and,

ae = βa = 5.559365239 × 10-9 × 1.627746473 × 1031

ae = 9.049237160 × 1022 m/s2

This accelaration may be the maximum acceleration that an object or even a particle can reach in the world.

[1] Zhen-hua Mei. Time Has Two Dimensions-Exploring Coordinate Connotation of Five-Dimensional Space. London Journal of Research in Science: Natural and Formal. 2024, 24(7).

https://blog.sciencenet.cn/blog-3446994-1436282.html

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