6 papers
What non-additive integral for ensemble spaces?
Gabriele Carcassi, Christine A. Aidala, Tobias Thrien
In a previous work we were able to define a non-additive measure that can be used to represent both classical and quantum states in physics. We further extended this idea to work o…
Classical mechanics as the high-entropy limit of quantum mechanics
Gabriele Carcassi, Manuele Landini, Christine A. Aidala
We show that classical mechanics can be recovered as the high-entropy limit of quantum mechanics. That is, the high entropy masks quantum effects, and mixed states of high enough e…
Non-additive measures for quantum probability?
Gabriele Carcassi, Christine A. Aidala
It is well-established that quantum probability does not follow classical Kolmogorov probability calculus. Various approaches have been developed to loosen the axioms, of which the…
Response to "Are Hilbert Spaces Unphysical? Hardly, My Dear!''
Gabriele Carcassi, Robert Rozite, Christine A. Aidala
A recent criticism of our paper ``The unphysicality of Hilbert spaces'' by Nivaldo Lemos refutes our central argument that a state with finite expectation value can be mapped to a…
A No-Go Theorem for Ï-ontic Models? Yes! Response to Criticisms
Gabriele Carcassi, Andrea Oldofredi, Christine A. Aidala
This short note addresses the criticisms recently proposed by Shan Gao against our article "On the Reality of the Quantum State Once Again: A No-Go Theorem for Ï-Ontic Models" (Fo…
The unphysicality of Hilbert spaces
Gabriele Carcassi, Francisco Calderon, Christine A. Aidala
We argue that Hilbert spaces are not suitable to represent quantum states mathematically, in the sense that they require properties that are untenable by physical entities. We firs…