Quantifying quark confinement forces with natural constants

v. 5 n. 34

That quarks cannot be separated might not be a suitable off-hand way to think of "quark confinement." Quarks can be separated; it just takes the right amount of effort. How much effort in this meson illustration? [Note 1] The energy required is just an example of common quantum mechanical pair-production (a new quark-antiquark pair in cover image).

Exactly how much force, in units of Newtons, must be supplied in such a separation in Figure a to overcome the Strong force, barring other factors?

Force F in Newtons in Figure a is that which is necessary to overcome the Strong force at quark level to separate the original quarks within this meson representation; this force F is proposed as

F_g,n = (n/2)^3/2 (0.058) (c^7/Gh)^1/2 m

where n = 1,2 ..., and for common quarks mass m in this relation is

m_q^3 = (A/G)(h/c)^2

where acceleration of the Universe

A ~ 10^-14 m/s^2, and

n = 1. [1]

Notably, two cosmological parameters, A and G, are apparent in the Strong force. The combination of cosmological, relativistic and quantum parameters implies that these equations are developed from scale-invariant relations, that large and small scales are closely related, and the matter making up the Earth and its inhabitants is closely associated with the large scale, regardless of separation distance. This recalls Mach's Principle, where the inertia of the local particle depends on the large scale. While our feet might be on the ground, our essence could reach beyond what can be seen.

[1] How might gravity relate to the other forces? | LinkedIn

[Note 1] Because of instability due to several factors the meson is not as good an example as the proton, but the simplicity of structure makes it a straightforward model here.

Cover image credit to include "inseparability" comment: What is the quark confinement problem in QCD? Can you explain it to a graduate physics level? - Quora

Cover image caption: Separation of "old" quarks with sufficient energy.