zetafunction said:if in General Relativity the main issue is that 'space is curved' what is the equivalence of it in Quantum mechanics ?? , for example how can QFT describe the curvature of space ??
In Quantum Field Theory, the concept of 'curved space' refers to the idea that the fabric of space and time can be warped or distorted by the presence of matter and energy. This is described by Einstein's theory of General Relativity, which explains gravity as the curvature of spacetime.
In Quantum Field Theory, the curvature of space can affect the behavior of particles and fields. For example, the presence of a massive object can cause a curvature in spacetime that can influence the trajectory of particles. This is known as the gravitational field in Quantum Field Theory.
The relationship between 'curved space' and Quantum Field Theory is that the latter is built upon the former. In other words, the principles of General Relativity and the concept of curved space are fundamental to Quantum Field Theory, which aims to unify the theories of gravity and quantum mechanics.
In Quantum Field Theory, the concept of 'curved space' is applied through the use of mathematical equations to describe the behavior of particles and fields in a curved spacetime. This allows for the prediction and understanding of phenomena such as the gravitational force and the behavior of matter and energy in the presence of massive objects.
Yes, the concept of 'curved space' can be tested in Quantum Field Theory through experimental observations and measurements. For example, the predictions made by General Relativity, which incorporates the concept of curved space, have been verified through experiments such as the bending of light by massive objects and the gravitational redshift effect.