Quantum Reality and Measurement: A?Quantum?Logical Approach

The recently established universal uncertainty principle revealed that two nowhere commuting observables can be measured simultaneously in some state, whereas they have no joint probability distribution in any state. Thus, one measuring apparatus can simultaneously measure two observables that have no simultaneous reality. In order to reconcile this discrepancy, an approach based on quantum logic is proposed to establish the relation between quantum reality and measurement. We provide a language speaking of values of observables independent of measurement based on quantum logic and we construct in this language the state-dependent notions of joint determinateness, value identity, and simultaneous measurability. This naturally provides a contextual interpretation, in which we can safely claim such a statement that one measuring apparatus measures one observable in one context and simultaneously it measures another nowhere commuting observable in another incompatible context.     

Hydroxy-3-Phenylcoumarins as Multitarget Compounds for Skin Aging Diseases: Synthesis,Molecular Docking and Tyrosinase,Elastase, Collagenase and Hyaluronidase Inhibition,and Sun Protection Factor

Skin aging is a progressive biological process of the human body, and it is not only time-dependent. Differently substituted 3-phenylcoumarins proved to efficiently inhibit tyrosinase. In the current work, new substitution patterns have been explored, and the biological studies were extended to other important enzymes involved in the processes of skin aging, as elastase, collagenase and hyaluronidase. From the studied series, five compounds presented inhibitory activity against tyrosinase, one compound against elastase, eight compounds against collagenase and two compounds against hyaluronidase, being five compounds dual inhibitors. The 3-(4′-Bromophenyl)-5,7-dihydroxycoumarin (1) and 3-(3′-bromophenyl)-5,7-dihydroxycoumarin (2) presented the best profiles against tyrosinase (IC₅₀ = 1.05 µM and 7.03 µM) and collagenase (IC₅₀ = 123.4 µM and 110.4 µM); the 3-(4′-bromophenyl)-6,7-dihydroxycoumarin (4) presented a good inhibition against tyrosinase and hyaluronidase; the 3-(3′-bromophenyl)-6,7-dihydroxycoumarin (5) showed an effective tyrosinase and elastase inhibition; and 6,7-dihydroxy-3-(3′-hydroxyphenyl)coumarin (11) presented a dual profile inhibition against collagenase and hyaluronidase. Furthermore, considering the overall activities tested, compounds 1 and 2 proved to be the most promising anti-aging compounds. These compounds also showed to have a photo-protective effect, without being cytotoxic to human skin keratinocyte cells. To predict the binding site with the target enzymes, computational studies were also carried out.     

Bis-phosphoryl-bridged stilbenes synthesized by an intramolecular cascade cyclization

Bis-phosphoryl-bridged stilbenes have been synthesized using an intramolecular cascade cyclization. They show intense blue fluorescences at longer wavelengths with higher quantum yields compared to those of the known element-bridged stilbenes. In addition, they have much lower reduction potentials due to the inductive effect of phosphoryl groups. The incorporation of the phosphoryl moiety is an effective way for the construction of highly electron-accepting pi-conjugated systems.     

Cavity detuning effects in the synchronously mode-locked CW dye laser

A detailed numerical model analysis of the synchronously mode-locked CW dye laser is presented. In the analysis, good mode-locking is found mainly for negative cavity detuning. The calculated cavity length detunig effects are compared with the results of experiments performed on the Oxazine-1 dye laser. The agreement between theory and experiment is satisfactory. The experimental good mode-locking regime is predicted correctly by this analysis. The present calculations are also compared with the hitherto reported qualitative model analyses with a gaussian dye pulse approximation. The validity of these model analyses is examined.     

Quantum perfect correlations

The notion of perfect correlations between arbitrary observables, or more generally arbitrary POVMs, is introduced in the standard formulation of quantum mechanics, and characterized by several well-established statistical conditions. The transitivity of perfect correlations is proved to generally hold, and applied to a simple articulation for the failure of Hardy’s nonlocality proof for maximally entangled states. The notion of perfect correlations between observables and POVMs is used for defining the notion of a precise measurement of a given observable in a given state. A longstanding misconception on the correlation made by the measuring interaction is resolved in the light of the new theory of quantum perfect correlations.     

Total synthesis of (+/-)-gleenol and (+/-)-axenol via a functionalized spiro[4.5]decane

Total synthesis of the biologically important axane sesquiterpenes, gleenol (1) and axenol (2), was accomplished through a readily available spiro[4.5]decane. The key features of the synthesis of 1 and 2 include Claisen rearrangement to afford the multi-functionalized spiro[4.5]decane 4 as a single diastereomer in excellent yield, installation of the C7 isopropyl group via ketene dithioacetal instead of direct alkylation and a diastereoselective reduction of ketone under the Birch conditions.     

Nature of plasma-induced radicals on crosslinked methacrylic polymers studied by electron spin resonance

Plasma-induced radicals of several crosslinked methacrylic polymers such as poly(ethyleneglycol dimethacrylate) (PEDMA), poly(2-hydroxyethylmethacrylate) (PHEMA) and polymethacrylamide (PMAAm) were studied by electron spin resonance (ESR). The observed ESR spectra did not exhibit a drastic difference in the spectral feature caused by the effect of crosslinking. All the spectral features can be represented by “nine-line spectra” as a major spectral component similar to those of linear methacrylic polymers such as polymethacrylic acid (PMAA). A pronounced effect of crosslinking, however, has emerged on the specific formation in the radical structure and the stability of radicals formed, especially in PEDMA. The formation of fewer kinds of radical in PEDMA is apparently caused by the high degree of crosslinking which leads to a suppression of the occurrence of depolymerization on plasma irradiation.     

Balancing signed graphs

A signed graph based on F is an ordinary graph F with each edge marked as positive or negative. Such a graph is called balanced if each of its cycles includes an even number of negative edges. Psychologists are sometimes interested in the smallest number d=d(G) such that a signed graph G may be converted into a balanced graph by changing the signs of d edges. We investigate the number D(F) defined as the largest d(G) such that G is a signed graph based on F. We prove that $\text{1}\text{2}\text{m?}\text{nm}\text{≤D(F)≤}\text{1}\text{2}\text{m}$ for every graph F with n vertices and m edges. If F is the complete bipartite graph with t vertices in each part, then $\text{D(F)≤}\text{1}\text{2}\text{t}{}^2\text{?ct}{}^{\mathrm{<mtext>3</mtext><mtext>2</mtext>}}$ for some positive constant c.     

A low frequency Raman-active vibration of hexagonal boron nitride

Raman spectra of single crystals and powder of hexagonal boron nitride have been measured at room temperature. Two Raman lines due to phonons of 52.5 and 1366 cm^-1 were observed. The 52.5 cm^-1 line, observed for the first time, has been attributed to the shear-type rigid layer mode of the crystal. The force constants related with the vibrations of these modes and their anisotropy are compared with those of graphite.