6 citations · 33 across the 14 of their papers we have counts for
4 papers · 1 filter
Information dynamics and new geometric foundations of quantum theory
Ryszard Paweł Kostecki
We discuss new approach to mathematical foundations of quantum theory, which is completely independent of Hilbert spaces and measure spaces. New kinematics is defined by non-linear…
Quantum Schwarzschild space-time
Paweł Duch, Ryszard Paweł Kostecki
Using new approach to construction of space-times emerging from quantum information theory, we identify the space of quantum states that generates the Schwarzschild space-time. No…
On principles of inductive inference
Ryszard Paweł Kostecki
We propose an intersubjective epistemic approach to foundations of probability theory and statistical inference, based on relative entropy and category theory, and aimed to bypass…
The general form of gamma-family of quantum relative entropies
Ryszard Paweł Kostecki
We use the Falcone-Takesaki non-commutative flow of weights and the resulting theory of non-commutative Lp spaces in order to define the family of relative entropy functionals that…