A note on the ramification of torsion points lying on curves of genus at least two

Let $C$ be a curve of genus $g\geqslant 2$ defined over the fraction field $K$ of a complete discrete valuation ring $R$ with algebraically closed residue field. Suppose that \char(K)=0 and that the characteristic of the residue field is not 2. Suppose that the Jacobian \Jac(C) has semi-stable reduction over $R$. Embed $C$ in \Jac(C) using a $K$-rational point. We show that the coordinates of the torsion points lying on $C$ lie in the unique moderately ramified quadratic extension of the field generated over $K$ by the coordinates of the $p$-torsion points on \Jac(C)

THE NEW-OLD COSMOLOGY

The recently discovered physics discipline of cryodynamics, sister discipline to thermodynamics, enables a new picture of the cosmos. A stationary, infinite, eternal, fractal cosmos that can be called the Clifford-Zwicky-Mandelbrot (CZM) cosmos emerges. Many elements of the currently accepted cosmology are put up for replacement in a 12-point list

“SLIDE-FORWARD RECESSION” : EINSTEIN’S MAIN FINDING PROVES EVEN STRONGER

The oldest gravitational ideaof Einstein is by the use of a toy model shown to be still more powerful: It implies c-global. This new fact if true is decisive for the unification of physics. Remember how Einstein predicted gravitational redshift – the fact that our clocks tick slower than those in the satellites overhead – ? He invented the toy model of a constantly accelerating long rocketship in outer space, Jules-Verne style

ANTITHERMODYNAMICS

“Anti” means “instead” or “mirror version of”. The recently introduced new fundamental discipline of cryodynamics can synonymously be called antithermodynanics because it constitutes a mirror-version of thermodynamics. It refers to attractively rather than repulsively interacting many-particle systems. Its predictable influence on the future understanding of physics and the cosmos is outlined by summarizing about 30 references. Novel mathematical results are imminent and decisive technological applications are at the ready

ROLLING BALL IN BREATHING PLANE-TREE ALLEY PARADIGM

Sinai’s famous geometric explanation of equilibrium thermodynamics is extended towards non-equilibrium thermodynamics and cryodynamics. Specifically, “breathing smooth Sinai trees” are introduced. And so are “breathing Sinai funnels.” The example demonstrates that deterministic chaos lies at the root of two fundamental physical disciplines: statistical thermodynamics and statistical cryodynamics. Quantum mechanics, computer simulation, energy technology and cosmology profit from the new consistency

GRAVITATIONAL-REDSHIFT PROPORTIONAL SIZE INCREASE IN RINDLER METRIC

The recently described gravitational-redshift proportional size change implicit in the Schwarzschild metric of general relativity and in the equivalence principle, is demonstrated geometrically in the Rindler metric. The result automatically carries over to general relativity (global constancy of c). Implications regarding terrestrial collision experiments, metrology, cosmology and unified physics are pointed out

Patologías estructurales en un templo de mampostería

El edificio de la Parroquia Nuestra Señora del Carmen, ubicado en Irigoyen, Provincia de Santa Fe, es una construcción centenaria que se destaca en el horizonte desde varios kilómetros, por su elevado campanario cuya silueta se recorta en la llanura. Desde algunos años después de terminada la construcción se pusieron en evidencia fisuras que progresivamente iban aumentando en cantidad y tamaño, lo que motivó la preocupación sobre su estabilidad. Recientemente, a fin de orientar trabajos de reparación y restauración, se encomendó un estudio computacional para interpretar las causas que provocaron las patologías observadas. En este trabajo se describe el estudio computacional realizado y los resultados alcanzados, que reprodujeron con buena aproximación el comportamiento estructural del edificio y permitieron interpretar las causas que motivaron las patologías.Tópico 5: Intervenciones en construcciones con patologías estructurales y aplicación de refuerzos