Alleviating the almost century old confusion, the correct laws of statistics and logic pinpoint the true oddity of quantum objects: duality. As it is shown in the first part of this short essay, duality plus co
Orthodox quantum mechanics is silent about point 2, thus not belonging to what is denoted ontic interpretations. Orthodox quantum mechanics has never denied that something “exists” or – so to speak – that there is an “out there”. That was and is a fairy tale still sp...
QuantumClue said: When did quantum mechanics care about the brain of the scientist, or the records of events? It's an important concept in decoherence theory, but more importantly, it's a part of the (theory-independent) concept of "measurement". QuantumClue said: It is not c...
This is a review of the issue of randomness in quantum mechanics, with special emphasis on its ambiguity; for example, randomness has different antipodal relationships to determinism, computability, and compressibility. Following a (Wittgensteinian) philosophical discussion of randomness in general, I ar...
In the Quantum Mechanics problem at hands, however, it is. So give now the operator an explicit representation as a linear vectorial differential operator (we use the inert form %Nabla, , to be able to proceed with full control one step at a time) > (20) The expression (19) becomes...
Hilbert led to his book “The Mathematical Foundations of Quantum Mechanics”, which reconciled the contradictory quantum mechanical formulations ofErwin Schrödingerand Werner Heisenberg. He also produced a succession of pivotal papers in logic, set theory, group theory, ergodic theory, and operator ...
Chaos theory is a branch of mathematics that studies the consequences of nonlinearity in natural phenomena. It is broadly concerned with how systems that are sensitive to the initial conditions behave. Therefore, it can be difficult to predict what will happen over time, even if the system only...
This procedure of analytic continuation between real and imaginary times is routinely performed in order to apply QFT results to equilibrium statistical mechanics [98]. As pointed out in [65], there are two natural ways to introduce the Hamiltonian picture. This is pictorially illustrated in Fig....
Well, keep watching as we break down the AI supercomputer infrastructure built to run ChatGPT and other large language models. And joining us to go deep on all the details, is Azure CTO Mark Russinovich. Welcome back to Mechanics! - Thanks for having me...
How much does a linear accelerator weigh? What is the momentum of a photon? What is the difference between a photon and an electron? What are graphene quantum dots? What is the wave-particle duality of electrons? What is a Hermitian operator in quantum mechanics? What passes high energy el...