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I watched a program in which a astrophysics professor suggested that in theoretical calculations, a Trans-Oppenheimer Neutron Stellar Core's acoustical velocity can exceed vacuum luminous velocity.

[tex]v_s >= c[/tex]

Oppenheimer Neutron Stellar Density:

[tex]p_n = \frac{3 \pi}{G T_n^2}[/tex]

T_{n}= Oppenheimer Neutron Star rotational period

Acoustical Velocity:

[tex]v_s = \sqrt{ \frac{B}{p_n}}[/tex]

Acoustical Bulk Modulus:

[tex]B = p_n v_s^2[/tex]

[tex]p_n = \frac{3 \pi}{G T_n^2} = \frac{B}{v_s^2}[/tex]

[tex]T_n = v_s \sqrt{ \frac{3 \pi}{GB}}[/tex]

[tex]v_s >= c[/tex]

[tex]T_n = c \sqrt{ \frac{3 \pi}{GB}}[/tex]

How was the Bulk Modulus calculated for a Trans-Oppenheimer Neutron Star?

Why is it theoretically unreasonable for trans-luminous acoustical velocities?

If trans-luminous acoustical velocities are theoretically possible, would such a result produce a Cherenkov Effect?

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# Neuron Stellar Cores

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