Rothiemurchus said:Generally we write H Y = E Y in quantum mechanics.
Would it make any sense to use T ( stress-energy tensor) from general relativity and G (curvature) to write :
T Y = G Y
Quantum Mechanics and General Relativity are two separate theories that aim to explain different aspects of the universe. Quantum Mechanics deals with the behavior of subatomic particles and their interactions, while General Relativity describes the nature of gravity and its effects on large-scale objects. They are both essential for understanding the fundamental laws of physics.
H Y = E Y and T Y = G Y are equations that represent the fundamental principles of Quantum Mechanics and General Relativity, respectively. H Y = E Y describes the relationship between a particle's energy and its wave function, while T Y = G Y relates the curvature of space-time to the distribution of matter and energy. These equations help us understand the behavior of particles and the nature of gravity.
Currently, there is no unified theory that combines Quantum Mechanics and General Relativity. This has been a major challenge in physics and is a topic of ongoing research. Some theories, such as String Theory, attempt to unify these two theories by describing the universe in terms of tiny strings rather than particles. However, a complete and satisfactory unification has not yet been achieved.
Quantum Mechanics and General Relativity may seem like abstract concepts, but they have many practical applications in our daily lives. For example, our understanding of quantum mechanics has led to the development of technologies such as transistors, lasers, and computers. General Relativity also has practical applications, such as in the Global Positioning System (GPS) and satellite communications.
Quantum Mechanics and General Relativity are both complex and counterintuitive theories that challenge our understanding of the world. They also have different mathematical frameworks and are difficult to reconcile. Additionally, many phenomena predicted by these theories are not yet fully understood or observed, making it challenging to test and validate them. As a result, studying and understanding these theories requires a deep understanding of mathematics and a willingness to think outside the box.