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 = a_e/a

where, a_e 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, 

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

then, 

a_e = (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, 

a_e = 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 = a_e/a = 3k₁*(2k₃)²/128*(2π) × α³

β = 0.01430636163 × α³

β = 5.559365239 × 10^-9

and,

a_e = βa = 5.559365239 × 10^-9 × 1.627746473 × 10³¹

a_e = 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).