26 citations · 100 across the 31 of their papers we have counts for
4 papers · 1 filter
Space-time structure may be topological and not geometrical
Gabriele Carcassi, Christine A. Aidala
In a previous effort [arXiv:1708.05492] we have created a framework that explains why topological structures naturally arise within a scientific theory; namely, they capture the re…
Hamiltonian mechanics is conservation of information entropy
Gabriele Carcassi, Christine A. Aidala
In this work we show the equivalence between Hamiltonian mechanics and conservation of information entropy. We will show that distributions with coordinate independent values for i…
The four postulates of quantum mechanics are three
Gabriele Carcassi, Lorenzo Maccone, Christine A. Aidala
The tensor product postulate of quantum mechanics states that the Hilbert space of a composite system is the tensor product of the components' Hilbert spaces. All current formaliza…
The fundamental connections between classical Hamiltonian mechanics, quantum mechanics and information entropy
Gabriele Carcassi, Christine A. Aidala
We show that the main difference between classical and quantum systems can be understood in terms of information entropy. Classical systems can be considered the ones where the int…