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

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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 mp is M/mp.
  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. Lp can correspond to Lp,0= h/mp or to Lp= ℏ/mp=Lp,0/2π. One can write Lp= Lp,0/x, x=1 or x=2π.
  4. Assume that heff &neq; h is possible so that Lp is scaled by y= heff/h. One would have

Lp(heff)= (y/x Lp,0per .

  • The total mass using mp as unit is given by the ratio of the volume V of the blackhole regarded as region of Minkowski space to the volume Vp taken by a single proton:
  • M/mp= V/Vp= (4/3z)× (rS/Lp,0)3 ×(x/y)3 . One can test the model for the Sun. One has MS=2× 1030 kg and rS= 3 km. Proton has mass mp= 1.6× 10-27 kg and Compton length Lp,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 heff is rather near to h. For x=1 option heff would be scaled down by factor of order 1/2π and heffeff=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.


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