The Klein-Gordon equation in the Rindler space-time is studied carefully. It is shown that the stable properties depend on using what time coordinate to define the initial time. If we use the Rindler time, the scalar field is stable. Alternatively, if we use the Minkowski time, the scalar field may be regarded unstable to some extent. Furthermore, the complete extension of the Rindler space tim...

Cabot' stated that a leucocytosiQ cf about 14,000 per c.mm. was the rule in children suffering from acute rheumatism. Ewing2 considered that mild cases of rheumatism showed no leucocytosis, but that with fever and swelling of the joints a leucocytosis from 10,000 per c.mm. occurred. If the leucocytosis be greater than 20,000 per c.mm. it indicates the presence of some complication. The leucocyt...

In a Wheeler-De Witt approach to quantum string cosmology, the present state of the Universe arises from the scattering and reflection of the wave function representing the initial string vacuum in superspace. This scenario is described and compared with the more conventional quantum cosmology picture, in which the birth of the Universe is represented as a process of tunnelling “from nothing” i...

The ability to pattern soft materials at the microscale is critical for several emerging technologies, including tissue-engineering scaffolds, photonic crystals, sensors, and self-healing materials. Hydrogels are an important class of soft materials that can be fabricated in the form of 3D microperiodic structures by colloidal templating or interference lithography. However, neither approach al...

The effect of the Gauss–Bonnet term on the SU(2) non–Abelian regular stringy sphaleron solutions is studied within the non–perturbative treatment. It is found that the existence of regular solutions depends crucially on the value of the numerical factor β in front of the Gauss–Bonnet term in the four–dimensional effective action. Numerical solutions are constructed in the N = 1, 2, 3 cases for ...

Quantum corrections to the classical field equations, induced by a scale dependent gravitational constant, are analyzed in the case of the static isotropic metric. The requirement of general covariance for the resulting non-local effective field equations puts severe restrictions on the nature of the solutions that can be obtained. In general the existence of vacuum solutions to the effective f...

derivation is consistent with the notion of abstract graph, i.e., any abstract derivation should start from an abstract graph and should end in an abstract graph. De nition 27 (well-de ned equivalences). For each abstract derivation [ ], de ne ([ ]) = f ( 0) j 0 2 [ ]g, and similarly ([ ]) = f ( 0) j 0 2 [ ]g. Then equivalence is well-de ned if for each derivation : G ) H we have that ([ ]) = [...

Several authors have suggested that a more parsimonious and conceptually elegant treatment of everyday mereological and topological reasoning can be obtained by adopting a spatial ontology in which regions, not points, are the primitive entities. This paper challenges this suggestion for mereotopological reasoning in 2-dimensional space. Our strategy is to de ne a mereotopological language toge...

Neutron-star mergers are interesting for several reasons: they are proposed as the progenitors of short gamma-ray bursts, they have been speculated to be a site for the synthesis of heavy elements, and they emit gravitational waves possibly detectable at terrestrial facilities. The understanding of the merger process, from the pre-merger stage to the final compact object-accreting system involv...