The strong force in terms of Newtonian gravity and special relativity

v. 4 n. 18

The proposed strong force was discussed in previous Letters in more developed forms. The above is the pattern, and the complete derivation is available. * The following is an outline for a single rotating particle (m1=m2=m/2) at near-light speed that demonstrates application of the "relativity-quantum bridge" equation, key to linking quantum and relativity theories in the previous Letter.

Fs?=?Gs m1m2 /r^2 ....................................?(high energy only)?

?Fs = [ G (m/2)(m/2) / (h/mc)^2 ]?{ [ (1 - v^2/c^2)^-1/2 -1]

+ (v^2/c^2)(1 - v^2/c^2)^-3/2 }? .......................................?(v→c)?

?Fs = [ G (m/2)(m/2) / (h/mc)^2 ]?[ 1.3 (1 - v^2/c^2)^-3/2 ]??... (1)???????????

where the velocity term in the reduced version, Equation (1), overlaps that in the original expression in a plot at v→c.?The distance term is from?

r = ?λ = h/mc. ....................................................................... (2)

Combining Equation (1) and a "relativity-quantum bridge,"

γ^2 = n/2 (αG)^-1 ....................... (v→c) ............................. (3)

(1 - v^2/c^2)^-1 = (n/2) ?c / G(m1+m2)m2,?....................... (3a)

where αG is the gravitational coupling constant; then?

?Fs,n = (n/2)^3/2 (0.058) (c^7/Gh)^1/2 m. ..........................(4)

Equation (4) is a quantized version of Equation (1) and exemplifies the application of the bridge Equation (3a) to convert a relativistic to a quantum expression, but only at high energy. This sequence should not imply that the gravitational constant is a variable; the relativistic term in Gs is paired with G only for familiar mathematical appearance of the base equation. It was shown in a recent Letter that Equation (4) yields the unit charge under certain conditions. **

* Viewing this complete article requires scrolling down at this link: (4) (PDF) Particles from Gravity (May 30, 2024) (researchgate.net)???

** Gluon or gravity? | LinkedIn???????????????????????????????????????????