Effect algebras are one of the generalizations of Boolean algebras proposed in the quest for a quantum logic. Frobenius algebras are a tool of categorical quantum mechanics, used to present various families of observables in abstract, often nonstandard frameworks. Both effect algebras and Frobenius algebras capture their respective fragments of quantum mechanics by elegant and succinct axioms; ...

In the Preface, the author states that his aim is to &present a new mathematical formulation of quantum theory, clarify a number of discrepancies within the prior formulation of quantum theory, give new applications to experiments in physics, and extend the realm of application of quantum theory well beyond physics'. The way he realises his "rst three aims places Schroeck in the small and dedic...

A path integral approach to quantum physics has been developed. Fractional path integrals over the paths of the Levy flights are defined. It is shown that if the fractality of the Brownian trajectories leads to standard quantum and statistical mechanics, then the fractality of the Levy paths leads to fractional quantum mechanics and fractional statistical mechanics. The fractional quantum and s...

The two previous papers developed quantum mechanical formalism from classical mechanics and two additional postulates. In the first paper it was also shown that the uncertainty relations possess no ontological validity and only reflect the formalism's limitations. In this paper, a Realist Interpretation of quantum mechanics based on these results is elaborated and compared to the Copenhagen Int...

You will go through great pains to learn the profound mathematics of Hilbert spaces and operators on them. What in experiment suggests the specific form of quantum mechanics with its “postulates”? Why should measurable quantities be represented by operators on a Hilbert space? Why should the complete information about a system be represented by a vector from a Hilbert space? It looks like we ma...

It has been established that endowing classical phase space with a Riemannian metric is sufficient for describing quantum mechanics. In this letter we argue that, while sufficient, the above condition is certainly not necessary in passing from classical to quantum mechanics. Instead, our approach to quantum mechanics is modelled on a statement that closely resembles Darboux’s theorem for symple...

We discuss in detail the parasupersymmetric quantum mechanics of arbitrary order where the parasupersymmetry is between the normal bosons and those corresponding to the truncated harmonic oscillator. We show that even though the parasusy algebra is different from that of the usual parasusy quantum mechanics, still the consequences of the two are identical. We further show that the parasupersymm...

Dasatinib is a tyrosine kinase inhibitor (TKI) that is used to treat chronic myeloid leukemiaand in the management of ulcerative colitis (UC) and to provide appropriate results in treatment. Dasatinib is significantly higher and faster than full cytogenetic and large molecular responses as compared to imatinib. In the recent study, using the NMR data, thermochemical properties of the dasa...

We demonstrate a contradiction of quantum mechanics with local hidden variable theories for continuous variable quadrature phase amplitude (“position” and “momentum”) measurements, by way of a violation of a Bell inequality. For any quantum state, this contradiction is lost for situations where the quadrature phase amplitude results are always macroscopically distinct. We show that for optical ...

In spite of all no-go theorems (e.g., von Neumann, Kochen and Specker,..., Bell,...) we constructed a realist basis of quantum mechanics. In our model both classical and quantum spaces b are rough images of the fundamental prespace. Quantum mechanics cannot be reduced to classical one. Both classical and quantum representations induce reductions of prespace information.