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Einstein was familiar with mathematical challenges. He struggled to define energy in a way that acknowledged the law of energy conserve and covariance, which is the fundamental feature of general relativity.
A research team at Kyoto University's Yukawa Institute for Theoretical Physics has proposed a novel approach to this longstanding problem by defining energy. The team member says that the solution is surprisingly simple.
Einstein's field equations show how matter and energy are shaped by spacetime. It is difficult to solve this set of equations, such as with pinning down the behavior of a charge associated with an energy-momentum tensor.
The research team has observed that the number of different ways of arranging parts of a system is similar to the number of different ways of conserve charge.
This standard definition of conserved entropy is not in line with it.
The existence of a conserved quantity is contrary to a principle in basic physics known as Noether's theorem, which states that symmetry in a system leads to the creation of a quantity.
Surprised that other researchers haven't applied this new definition of the energy-momentum tensor, another team member, Shinya Aoki, says that he is also intrigued that a conserved quantity can be defined even without symmetry.
The team has applied this novel approach to observe a variety of phenomena, such as the expansion of the universe and black holes. The equations show that spacetime becomes poorly defined in the center of the black hole, which is 888-609- 888-609- 888-609- 888-609- 888-609-
The authors hope that their research will lead to more discussion among scientists in basic physics.
The International Journal of Modern Physics A has more information. There is a DOI titled "10142/S0217751X2150
Einstein warms up to quantum mechanics? The research team redefines energy to explain black holes.
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