Simulating experiments that combine Newtonian gravity and quantum mechanics in a computer is a challenging task. The reason is that Newtonian gravity and quantum mechanics operate at vastly different scales and have different mathematical formalisms.
Newtonian gravity describes the motion of macroscopic objects, such as planets and everyday objects, using classical mechanics. It is deterministic and works well for objects with large masses and speeds much slower than the speed of light.
On the other hand, quantum mechanics describes the behavior of particles at the microscopic level, such as atoms and subatomic particles. It introduces probabilistic outcomes and wave-particle duality, which are not present in classical mechanics.
Combining these two frameworks, known as quantum gravity, is a central goal in theoretical physics. However, a complete and consistent theory of quantum gravity that unifies both theories is yet to be achieved. Several proposed theories, such as string theory, loop quantum gravity, and others, aim to address this challenge, but they are still under active investigation.
In terms of computer simulations, it is difficult to directly simulate the combined effects of quantum mechanics and gravity due to their fundamental differences. Simulating quantum mechanics generally requires methods such as matrix diagonalization, Monte Carlo simulations, or solving the Schrödinger equation numerically. Simulating gravity, on the other hand, typically involves solving differential equations such as Newton's laws or Einstein's field equations.
However, it is worth noting that computer simulations can be used to study specific aspects of quantum gravity within simplified models or approximations. These simulations often involve numerical techniques and computational methods tailored to the specific model being investigated. While such simulations can provide valuable insights, they should be understood as approximations and not as a complete description of the true quantum gravity regime.
In summary, simulating experiments that merge Newtonian gravity and quantum mechanics in a comprehensive and accurate manner is a complex task that remains an active area of research in theoretical physics.