The discussion centers on the relationship between physical objects, such as a sausage, and their representation in quantum mechanics through Hilbert spaces. It establishes that a Hilbert space is a mathematical abstraction and does not correspond to physical entities that can be divided. Cutting an object does not affect its Hilbert space or quantum state in a manner analogous to holographic images. Understanding Hilbert spaces requires foundational knowledge in quantum mechanics, specifically from college-level texts.
PREREQUISITESStudents of quantum mechanics, physicists interested in the mathematical foundations of quantum theory, and anyone seeking to understand the abstract nature of Hilbert spaces in relation to physical objects.
oquen said:When you cut an object with a knife.. say a sausage. Does it's Hilbert Space or Quantum State split into two too? Or is it like in a holographic film.. in which even after cutting it, all the original image is in each of the cut portion?
A Hilbert space is a mathematical abstraction, not any sort of physical space that can be cut and divided. Objects don't "have" or occupy Hilbert spaces, and there is no correspondence between the parts of an object and the elements of the Hilbert space we're using in our computations.oquen said:When you cut an object with a knife.. say a sausage. Does it's Hilbert Space or Quantum State split into two too? Or is it like in a holographic film.. in which even after cutting it, all the original image is in each of the cut portion?