this field you are asking the question in is quantum cosmology.Mike2 said:How is QM modified in a small universe? Usually we have path integrals that consider every possible path throughout infinity. But what about the early universe that may have been about the size of an atom or smaller? Do we continue to consider all paths throughout infinity? Or are the paths constrained to the size of the universe, which may be quite small?
Thanks.
Isn't this precisely how one would connect QM with GR... by determining how to do QM in curved space-times? It sounds like a change of coordinates. But I'm probably being naive about it.Mike2 said:If the dimensions of the very early universe were curled up and flatten out with expansion, then can QM be formulated in these curled up dimensions? Thanks.
QM (Quantum Mechanics) in a very small universe refers to the application of quantum mechanics principles in the study of extremely small objects, such as atoms and subatomic particles.
QM explains the behavior of particles in a very small universe through the use of mathematical equations, such as the Schrödinger equation, which describe the probability of a particle's position and momentum. QM also introduces the concept of wave-particle duality, which states that particles can exhibit both wave-like and particle-like behavior.
Some key principles of QM in a very small universe include superposition, where particles can exist in multiple states simultaneously, and entanglement, where particles can be connected and influence each other's behavior even at a distance.
QM in a very small universe differs from classical mechanics in that it takes into account the probabilistic nature of particles and the influence of observation on their behavior. Classical mechanics, on the other hand, describes the behavior of macroscopic objects using deterministic equations.
Some real-world applications of QM in a very small universe include the development of new technologies such as transistors, lasers, and MRI machines. QM also plays a crucial role in fields such as chemistry, materials science, and quantum computing.