Why is spacetime not allowed to have negative curvature
>>16538115because I don't allow it
>>16538123Allow it
>>16538115Because its fucking stupid thats why
>>16538115>Why is spacetime not allowed to have negative curvatureImplies negative energy, which we have never observed.
>>16538115but it do
>>16538115>Why is spacetime not allowed to have negative curvatureOh you sweet summer child. School is back in session. Why aren't you there?
>>16538217Not OP but could you explain what your gif has to do with negative curvature? Genuinely curious.
>>16538132We also never observed dark matter
>>16538238dark matter and dark energy are bs halfwits made up
>>16538230The hyperbolic plane has negative Gaussian curvature. The interior angles of any triangle sum to less than 180°.
>>16538253Thanks. I didn't know there was a thing called gaussian curvature.
>>16538115Mathematically it's allowed, but to the extent of our observations of the physical universe these solutions are non-physical, because we have not observed negative mass or energy.It's like how the Schrodinger equation for an infinite potential well have branches of solutions where the probability density goes to infinity as you go infinitely far from the well. These are mathematically valid solutions to the equation, but they're non-physical in that the particle can't be more likely to be in an area where, by definition of the boundary conditions, the particle is not allowed to go.
>>16538115spacetime isn't an irish woman
>>16538254Gaussian curvature is just the Riemann curvature tensor in the 2D case.
>>16538238Yes we have. We have observed the effects of its gravity.
>>16538217>Here comes the cult of Einstein to preach their religion.>>16538230He thinks the model is the phenomenon.
>>16538254Gauss was one of the guys who's work Einstein took credit for.
>>16538412Wrong. That's Standard Model hand waving, not science.
>>16538473The Standard Model doesn't contain gravity so that completely invalidates your response. And if you're going to ignore science on a science board, why are you even here?
>>16538490>why are you even here?If corporations pretend to be retarded because they want to extract petroleum for burning and plastics, sell tobacco, sell sugar, and dump their industrial waste into the waterways, eventually real undereducated public school children who were raised to be retarded unquestioning consumers will think they're uncovering a global "science" conspiracy.
>>16538115https://physics.stackexchange.com/questions/527512/how-does-one-approach-negative-curvature-in-the-einstein-field-equations