I am not very familiar with Tolman-Oppenheimer-Volkoff limit, but I have used the simple extended energy-moment relation I developed and simple Coulomb electric force to compute that neutron stars should have a maximum radius of 33 km and 44 solar mass given the normal neutron density (non-compressed). Greater than these values, the neutron star cannot get bigger and will eject mass away.
Based on my calculation, when the neutron star density goes higher (compressing the neutrons so that Coulomb electric force is more repellent), the maximum neutron mass limits actually decreases. That is Mneutron star ~ 1/ρ(3/2) where ρ is the mass density of neutrons.
The actual mass limit is not interesting, but the relation is quite interesting because it means that black holes cannot be infinitely small in space because if its size is small, then density is high, then the black holes will eject mass, putting a limit on black holes' sizes.
My question is, do anyone have theories other than Pauli exclusion principle to deal with mass limits? And do black holes have size limits?
Dear Hong Du
I think this article might be helpful, have a look
http://theory.uchicago.edu/~sethi/Teaching/P243-W2020/final-papers/helstrom.pdf
Kind Regards
Qamar Ul Islam
Thank you Qamar Ul Islam for the link. The article at the link used Pauli exclusion principle. What I am asking is about any theory that doesn't rely on Pauli exclusion principle.
My theory has an interesting property is that when the density of the neutron star is higher, then the upper limit of the neutron star can only be smaller. This is a quite interesting property, meaning that if for some reason the neutron star is compressed (for example collapsed due to too much weight or compress through collision), it will throw out mass or eject mass, resembling the process of the explosion of a neutron star. Does any theory have similar conclusion?
Hi Hong,
Greetings,
Energy Structure Theory establishes the energy structure equation as well as relation condition for physical processes based on the energy components of the system. I think you may use it for your mean.
Regards, Saeed.
I have calculated the size limits of black holes, neutron stars and galaxies with extended energy-momentum relation without Pauli exclusion. All in the paper on page 30 and page 31. Of course, the gravitational expression needs to be improved, and I have some work laid out and designed experiments to verify.
Preprint Observation of Astronomical Antigravity: Origin of Astronomi...
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