Gravitation on a Homogeneous Domain

On Gravitation and Quanta∗

We show that a gravitating mass M in thermal equilibrium behaves statistically like a system of some number N of harmonic oscillators whose zero-point energy ǫ 2 depends on N universally in such a way that Nǫ2 ∼ hc G , where G is the Newton constant, c is the velocity of light in vacuum, and h is the Planck constant. The large number N is also the number of weakly interacting gravitational atom...

Prize on gravitation

Alternative Reflections on Gravitation

It is assumed that the primary interaction between two masses m1 and m2 is not attractive as postulated by Newton’s law of gravitation, but repulsive. Both m1 and m2 emit and absorb gravitational radiation. Corresponding to the laws of optics the absorption is connected with an impulse transfer that produces the repulsive force. If, however, m1 and m2 are embedded in the gravitational radiation...

Note on " Electromagnetism and Gravitation "

We obtain Hamilton equations for the gravitational field and demonstrate the conservation of total energy. We derive the Poisson bracket equation for a general dynamical variable.

A Class of compact operators on homogeneous spaces

Let  $varpi$ be a representation of the homogeneous space $G/H$, where $G$ be a locally compact group and  $H$ be a compact subgroup of $G$. For  an admissible wavelet $zeta$ for $varpi$  and $psi in L^p(G/H), 1leq p <infty$, we determine a class of bounded  compact operators  which are related to continuous wavelet transforms on homogeneous spaces and they are called localization operators.