Recent content by darkdark10
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Graduate The Planck scale, black hole interiors, observable universe and GR
You casually dismiss years of someone else's insight simply by labeling it AI-generated. I'm holding back because this is a strictly moderated forum. 1. Because a lot of people made a ridiculous fuss about applying R_S (a physical quantity commonly associated with black holes) to the observable...- darkdark10
- Post #7
- Forum: Special and General Relativity
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Graduate The Planck scale, black hole interiors, observable universe and GR
1.Modern gravitational physics has fundamental problems, including 1)the Planck-scale divergence problem, 2)the black hole singularity problem, 3)the inflation problem, and 4)the dark energy problem. The continuous appearance of these anomalous phenomena suggests that an important element is...- darkdark10
- Thread
- Black hole Cosmic inflation Dark energy General relaivity Planck scale
- Replies: 7
- Forum: Special and General Relativity
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Undergrad If we define the electron as an antiparticle, will there be a problem?
Now we have a particle-antiparticle asymmetry problem. But, if we define electron and neutrino as antiparticle, will there be a problem? Original formula Modified formula Original formula Modified formula If the classification of electron and neutrino is changed to antiparticles, the...- darkdark10
- Thread
- Classification Electron Neutrino
- Replies: 10
- Forum: High Energy, Nuclear, Particle Physics
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Graduate Mass density of radiation in Friedmann equation?
Your argument( ) leads to: \rho + \frac{{3P}}{{{c^2}}} = {\rho _{rad}} + \frac{{3(\frac{1}{3}{\rho _{rad}}{c^2})}}{{{c^2}}} = 2{\rho _{rad}} Your argument leads to the claim that when matter and radiation have the same energy density ρ0, the radiation exerts twice the gravitational force than...- darkdark10
- Post #5
- Forum: Astronomy, Astrophysics, Cosmology
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Graduate Mass density of radiation in Friedmann equation?
We know that mass density = energy density/c^2. The question is, when entering the expression (ρ+3P/c^2), which form is correct? When looking at the radiation term, \rho + \frac{{3P}}{{{c^2}}} = {\rho _{rad}} + \frac{{3(\frac{1}{3}{\rho _{rad}}{c^2})}}{{{c^2}}} = 2{\rho _{rad}} or \rho +...- darkdark10
- Post #3
- Forum: Astronomy, Astrophysics, Cosmology
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Graduate Mass density of radiation in Friedmann equation?
\frac{1}{R}\frac{{{d^2}R}}{{d{t^2}}} = - \frac{{4\pi G}}{3}\left[ {{\rho _m} + {\rho _{rad}} + {\rho _\Lambda } + \frac{{3({P_m} + {P_{rad}} + {P_\Lambda })}}{{{c^2}}}} \right] In the Friedmann equation, ρ is the mass density. === https://en.wikipedia.org/wiki/Friedmann_equations They were...- darkdark10
- Thread
- Energy density Friedmann equation mass and energy
- Replies: 6
- Forum: Astronomy, Astrophysics, Cosmology
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Undergrad Questions about Negative Pressure and Vacuum Energy
In the book(An Introduction to Modern Astrophysics - Bradley W. Carroll and Dale A.Ostile) Pressure P = equivalent energy density of kinetic energy P/c^2 = equivalent mass density of kinetic energy Isn't the pressure P in the acceleration equation the equivalent energy density of kinetic energy?- darkdark10
- Post #3
- Forum: Astronomy, Astrophysics, Cosmology
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Undergrad Questions about Negative Pressure and Vacuum Energy
Currently, dark energy is described as a being that exerts a negative pressure while having a positive energy density. {\rho _\Lambda } + 3{P_\Lambda } = {\rho _\Lambda } + 3( - {\rho _\Lambda }) = - 2{\rho _\Lambda } However, there seems to be a problem with the negative pressure assertion...- darkdark10
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- Cosmological constant Dark energy Energy Negative Pressure Vacuum Vacuum energy
- Replies: 5
- Forum: Astronomy, Astrophysics, Cosmology