Quantitative support for the model of blackhole-like object as flux tube spaghetti

The TGD based model for blackhole-like object is as monopole flux tube spaghetti (see this) containing one proton per proton Compton length and filling the entire volume. There is no need to emphasize that the model means giving up the standard view of blackhole-like objects and that the model does not differ very much from the model for neutron stars.

There are two ways to estimate the total mass.

1. Assuming additivity, the total mass in units of m_p is M/m_p.
2. Suppose that the flux radius of thickness R contains a single proton per length zR so that one proton fills the volume π× zR³.
3. If R corresponds to the proton Compton length, one can consider two alternatives. L_p can correspond to L_p,0= h/m_p or to L_p= ℏ/m_p=L_p,0/2π. One can write L_p= L_p,0/x, x=1 or x=2π.
4. Assume that h_eff &neq; h is possible so that L_p is scaled by y= h_eff/h. One would have

L_p(h_eff)= (y/x L_p,0per .

M/m_p= V/V_p= (4/3z)× (r_S/L_p,0)³ ×(x/y)³ . One can test the model for the Sun. One has M_S=2× 10³⁰ kg and r_S= 3 km. Proton has mass m_p= 1.6× 10^-27 kg and Compton length L_p,0= 1.3× 10^-15 m. Substituting the values to the above formula, one obtains for x= 2π (y∼ 1.353,z=1) and (y=1,z=2.48). For y ∼1.353 h_eff is rather near to h. For x=1 option h_eff would be scaled down by factor of order 1/2π and h_effeff=nh₀, where h₀ is about 10^-7h.

The conclusion is that the simple flux tube model, which is definitely different from the general relativistic model, is surprisingly realistic.

See the article Cosmic string model for the formation of galaxies and stars or the chapter chapter with the same title.

For a summary of earlier postings see Latest progress in TGD.

For the lists of articles (most of them published in journals founded by Huping Hu) and books about TGD see this.