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Garrulo
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Is it true than general relativity can be deduced from a maximum mass density for matter?
No!Garrulo said:Is it true than general relativity can be deduced from a maximum mass density for matter?
Garrulo said:Is it true than general relativity can be deduced from a maximum mass density for matter?
I can imagine it was a crackpot's fault. It makes a nice crackpot argument to say Einstein used maximum principles in getting special and general theories of relativity.PeterDonis said:What makes you think it can be? Did you read about this somewhere?
Yes, it is true that general relativity can be deduced from a maximum principle. This principle, known as the principle of least action, states that the path taken by a physical system between two points is the path that minimizes the action (a measure of the system's energy) along that path. In general relativity, this principle is applied to the spacetime curvature, resulting in the famous Einstein field equations.
The maximum principle is a fundamental principle in physics that is used to derive various physical laws and theories, including general relativity. It is based on the idea that nature tends to take the path of least resistance, or in this case, the path of least action. By applying this principle to the curvature of spacetime, we can derive the equations that govern the behavior of gravity.
Yes, the maximum principle can be used to make predictions in general relativity. By using this principle, we can determine the behavior of gravitational systems and make predictions about the behavior of objects in these systems. This has been confirmed through various experiments and observations, including the precession of Mercury's orbit and the bending of starlight by massive objects.
While the maximum principle has been successful in deriving general relativity and making predictions, it does have limitations. One limitation is that it does not take into account quantum effects, which are necessary for a complete understanding of gravity at the smallest scales. Additionally, the maximum principle assumes a classical, deterministic view of physics, which may not accurately describe the behavior of the universe at the quantum level.
The maximum principle is unique in that it is a variational principle, meaning it is based on the idea of minimizing or maximizing a quantity (in this case, action). Other principles used in physics, such as the principle of least time or the principle of least potential energy, are based on minimizing or maximizing different quantities. However, all of these principles share the common goal of describing the behavior of physical systems through fundamental principles.