Question

K_QCD ≈ 2.1×10⁻⁸m⁻² is the critical threshold for quark deconfinement in neutron star cores

Answer 1

K_QCD ≈ 2.1×10⁻⁸m⁻²
The critical threshold for quark deconfinement in neutron star cores, expressed in terms of spatial curvature, is a local spatial curvature scalar that is independent of the coordinate system. Of course, this is merely an approximation calculated from existing data, referring to the degree to which space must be compressed for quark deconfinement to inevitably occur. It can also be converted into a corresponding density or energy scalar, since under general circumstances, these three are different aspects of the same state. However, it does not have an inevitable connection with mass and radius; it refers to a criterion for the equation of state phase transition in the cores of highly compact neutron stars, which can be used to classify existing neutron star observational data to distinguish which are hadronic stars and which are hybrid stars.
If verified, it should possess the potential and possibility for a Nobel Prize.

Comments

This is a remarkably insightful perspective. Could you please share the specific derivation process and the underlying equations you utilized to arrive at this explicit threshold value of \(K_{QCD} \approx 2.1 \times 10^{-8} \, \text{m}^{-2}\)? I would be highly interested to see how the coupling between the local spatial curvature scalar and the QCD deconfinement phase transition is explicitly formulated in your framework.