The foundation of the hyperunified field theory I — Fundamental building block and symmetry

Starting from the motional property of functional field based on the action principle of path integral formulation while proposing maximum coherence motion principle and maximum locally entangled-qubits motion principle as guiding principles, we show that such a functional field as fundamental building block appears naturally as an entangled qubit-spinor field expressed by a locally entangled state of qubits. Its motion brings about the appearance of Minkowski space–time with dimension determined by the motion-correlation [Formula: see text]-spin charge and the emergence of [Formula: see text]-spin/hyperspin symmetry as fundamental symmetry. Intrinsic [Formula: see text]-spin charge displays a periodic feature as the mod 4 qubit number, which enables us to classify all entangled qubit-spinor fields and space–time dimensions into four categories with respect to four [Formula: see text]-spin charges [Formula: see text]. An entangled decaqubit-spinor field in 19-dimensional hyper-space–time is found to be a hyperunified qubit-spinor field which unifies all discovered leptons and quarks and brings on the existence of mirror lepton–quark states. The inhomogeneous hyperspin symmetry [Formula: see text] as hyperunified symmetry in association with inhomogeneous Lorentz-type symmetry [Formula: see text] and global scaling symmetry provides a unified fundamental symmetry. The maximum locally entangled-qubits motion principle is shown to lay the foundation of hyperunified field theory, which enables us to comprehend long-standing questions raised in particle physics and quantum field theory.

Dermatoglyphic Patterns of Children with Special Educational Needs

Background: The present study aimed at finding the finger and palmar dermatoglyphic patterns of students in special school and to discover whether significant dermatoglyphic features exist in students in special school. Materials and methods: Finger and palm prints were taken from 100 students from Garden City Special School which served as the study group and 100 students from “In Him is Life School” which served as the control group. Analysis of quantitative and qualitative traits of dermatoglyphs (Total Finger Ridge Count, atd angle, pattern type, symmetry of palmprint and type of PIC) were performed. Descriptive statistics were used to determine the differences among the groups. Results: Central pocket loop whorl (CPLW) which is an indicator in people with better academic performance was significantly lower (P<0.0001) in individuals in the special school (SS). The atd angle was significantly higher (P<0.0001) in both hands in SS than in CG. The current study revealed that the prevalence of symmetrical PIC was significantly lower (P=0.012) in the SS (39%) compared to CG (67%). Conclusion: Students in special school have unique dermatoglyphic pattern. There were significant differences in certain types of dermatoglyphic pattern observed in students in special school compared to students in normal school. Further study is required to have a baseline data which can serve as a diagnostic tool for early detection of people who need special attention. KEY WORDS: Dermatoglyphics, Patterns, Special, Educational, Needs.

Влияние сильного межузельного кулоновского взаимодействия на топологические свойства сверхпроводящей нанопроволоки

For superconducting nanowire with the pairing of extended s-type symmetry, Rashba spin-orbit interaction in a magnetic field, the influence of strong intersite charge correlations on single-particle Majorana excitations is analyzed. This problem is investigated on the basis of the density matrix renormalization group numerical method. It is shown that with an increase in the repulsion intensity of electrons located at the neighboring sites, two subbands emerge in the lower Hubbard band of the open system. Based on calculations of the Majorana polarization and degeneracy of the entanglement spectrum, it was found that a topologically nontrivial phase with one edge state survives at the edge of each of the subbands where the concentration of electrons or holes is minimal.

On the Relation Between Collective Responsibility and Collective Duties

There is good reason to think that moral responsibility as accountability is tied to the violation of moral demands. This lends intuitive support to Type-Symmetry in the collective realm: A type of responsibility entails the violation or unfulfillment of the same type of all-things-considered duty. For example, collective responsibility necessarily entails the violation of a collective duty. But Type-Symmetry is false. In this paper I argue that a non-agential group can be collectively responsible without thereby violating a collective duty. To show this I distinguish between four types of responsibility and duty in collective contexts: corporate, distributed, collective, shared. I set out two cases: one involves a non-reductive collective action that constitutes irreducible wrongdoing, the other involves a non-divisible consequence. I show that the violation of individual or shared duties both can lead to irreducible wrongdoing for which only the group is responsible. Finally, I explain why this conclusion does not upset any work on individual responsibility.

D4h Local Symmetric dysprosium(III) Single-Molecule Magnet with Energy Barrier Exceeding 2000 K

<p><a></a><a></a><a><b>Three six-coordinate Dy(III) single-molecule magnets (SMMs) [Dy(O^tBu)₂(L)₄]⁺ with <i>D</i>_4h local symmetry are obtained by optimising the equatorial ligands. Compound 1 where L = 4-phenylpyridine shows an energy barrier (<i>U</i>_eff) of 2075(11) K, which is the third largest <i>U</i>_eff, and the first <i>U</i>_eff > 2000 K for SMMs with axial-type symmetry so far.</b></a></p>

D4h Local Symmetric dysprosium(III) Single-Molecule Magnet with Energy Barrier Exceeding 2000 K

<p><a></a><a></a><a><b>Three six-coordinate Dy(III) single-molecule magnets (SMMs) [Dy(O^tBu)₂(L)₄]⁺ with <i>D</i>_4h local symmetry are obtained by optimising the equatorial ligands. Compound 1 where L = 4-phenylpyridine shows an energy barrier (<i>U</i>_eff) of 2075(11) K, which is the third largest <i>U</i>_eff, and the first <i>U</i>_eff > 2000 K for SMMs with axial-type symmetry so far.</b></a></p>

Atomic partial charge predictions for furanoses by random forest regression with atom type symmetry function

Atom type symmetry function that utilizes atom types defined in traditional force fields demonstrated improvements for describing structures of furanoses, and the capability of predicting their conformational adaptive charges with random forest regression models.

Reduced Pre-Lie Algebraic Structures, the Weak and Weakly Deformed Balinsky–Novikov Type Symmetry Algebras and Related Hamiltonian Operators

The Lie algebraic scheme for constructing Hamiltonian operators is differential-algebraically recast and an effective approach is devised for classifying the underlying algebraic structures of integrable Hamiltonian systems. Lie–Poisson analysis on the adjoint space to toroidal loop Lie algebras is employed to construct new reduced pre-Lie algebraic structures in which the corresponding Hamiltonian operators exist and generate integrable dynamical systems. It is also shown that the Balinsky–Novikov type algebraic structures, obtained as a Hamiltonicity condition, are derivations on the Lie algebras naturally associated with differential toroidal loop algebras. We study nonassociative and noncommutive algebras and the related Lie-algebraic symmetry structures on the multidimensional torus, generating via the Adler–Kostant–Symes scheme multi-component and multi-dimensional Hamiltonian operators. In the case of multidimensional torus, we have constructed a new weak Balinsky–Novikov type algebra, which is instrumental for describing integrable multidimensional and multicomponent heavenly type equations. We have also studied the current algebra symmetry structures, related with a new weakly deformed Balinsky–Novikov type algebra on the axis, which is instrumental for describing integrable multicomponent dynamical systems on functional manifolds. Moreover, using the non-associative and associative left-symmetric pre-Lie algebra theory of Zelmanov, we also explicate Balinsky–Novikov algebras, including their fermionic version and related multiplicative and Lie structures.