Dejan1981

I'm not sure that this is completely true. The solution for a charged neutron star is similar to the Reissner-Nordström metric, meaning the total curvature is the sum of gravitational curvature + electric field curvature. In GR 𝑇𝜇𝜈 includes Mass-energy of the neutron star (dominant) and Energy of the electric field, which contributes additional curvature. This is purely theoretical scenario and it can never happen in reality. Idea is that space behaves like a wave and that mater is manifestation of curvaton of space in one direction and antimatter in opposite direction. Two opposite wave will nullify them self's. If mass and energy are result of space curvature there would be no mass and energy left as an manifestation of space curvature. Let' say that we have a ideal body that consist of a ball of mater and the same mass of antimatter surrounding it as a sphere having the same center of gravity. Mater and antimatter are separated with a vacuum and exist in a vacuum. Would this body be able to exist if mater is manifestation of curvaton of space in one direction and antimatter in opposite direction?

Thank you for taking the time to answer. I found it very interesting and informative. I agree with your statement about the cosmological constant. My point was that Schwarzschild spacetime doesn't represent the universe that we live in. About matter and antimatter having the same gravitational affects. I agree with this and I didn't imply that opposite curvature of space has opposite gravitational affect. To me the most interesting part of your answer is "given matter-energy configuration will have a unique energy-momentum tensor associated with it, but the reverse is not true - any given energy-momentum tensor can correspond to more than one possible matter-energy configuration." I wasn't talking about grand scale universe where planet will appear because of space curvature. I was talking about quantum scale universe where there is limited number of particles that can exist all of which have unique energy-momentum tensor associated with them. I think that we can't have two type of particles with the same energy-momentum tensor, else we are accepting that types of particles are limitless. I think there is a mechanism that limits the type of particles that can exist. On the grander scale I agree that two different object can have the same energy-momentum tensor associated with them, but in this case there are other forces that allow this to happen. What do you think about idea that there is a border of space curvature where if it's crossed it manifest it's self as a matter, and under that limit as an energy? Is it possible that light exist on that border and that's why it behaves like a wave and like a particle?

Amount of energy is always the same in the system. I didn't question this. Idea is that when same amount of mater and antimatter collide, and if we hypothesize that mater is product of curvature of space in one direction, and antimatter in opposite, that the space is going to behave as a wave and result will be irregular wave form that will manifest as energy up to the one level of space curvature and as a mater and antimatter over the same level of space curvature. If mater and antimatter collided in time = 0 and there centers of gravity came to the same place in the space in time = 0 than resulting wave would be zero and energy and mater, antimatter and energy would stop to exist because space would be "flat". This is only mathematical and can never happen in reality.

Gμν (Einstein Tensor): we usually say that it describes how spacetime is curved due to the presence of mass and energy, so its not correct to say that mass and energy are not part of field equations. I think that description how presence of mass and energy is result of spacetime curvature is correct also if we describe this variable. The second explanation is the proper way how I think we should describe this. Humans first knew about mass and matter (result of how we sense the world) and only much later about curvature of space, so I think this chronology is reason why we presumed that curvature of space is result of existence of mater and not the other way around. Schwarzschild spacetime is theoretical and it exists on the assumption that the electric charge of the mass, angular momentum of the mass, and universal cosmological constant are all zero. Universe that we live in is not like this. Cosmological constant is not zero for sure because Universe is not static.

It doesn't meter where they are. Idea is that we should change the point of view and start from an idea that mater and energy are manifestation of curvaton of space and not that curvaton of space is caused by mater. Relationship between mass-energy and spacetime curvature is expressed by the Einstein Field Equations and as every other Equation it works in both ways and it doesn't say what was first mass and energy or the curvaton of space.

Why do scientist always say that mass bends space, and not that mass is product of bending of space? To me it makes much more sense that mass and energy is caused by curvaton of space time and not the other way around. They are simultaneous phenomena's and its is impossible to say what was first. Maybe the mass is manifestation of space curvaton over some level and energy is manifestation of space under some level. I think that evidence of this hypothesis can be observed in experiment where same amount of mater and antimatter collide. If we presume that mater is a manifestation of space curvaton in one direction and antimatter manifestation of space curvaton in opposite direction than space would act as a two opposite waves colliding. Result would be irregular wave form that would produce mass particles (over some level of space curation) and energy (under some level of space curvaton). This experiment can actually be done.