6 citations · 14 across the 5 of their papers we have counts for
8 papers · 1 filter
On Maximal-Acceleration, Strings and the Group of Minimal Planck-Area Relativity Theory
Carlos Castro
Recently we have presented a new physical model that links the maximum speed of light with the minimal Planck scale into a maximal-acceleration Relativity principle in phase spaces…
Maximal-acceleration phase space relativity from Clifford algebras
Carlos Castro
We present a new physical model that links the maximum speed of light with the minimal Planck scale into a maximal-acceleration Relativity principle in the spacetime tangent bundle…
Final steps towards a proof of the Riemann hypothesis
Carlos Castro, Jorge Mahecha
A proof of the Riemann's hypothesis (RH) about the non-trivial zeros of the Riemann zeta-function is presented. It is based on the construction of an infinite family of operators D…
Noncommutative Quantum Mechanics and Geometry from the Quantization of C-spaces
Carlos Castro
Four years ago the Extended Scale Relativity (ESR) theory in C-spaces (Clifford manifolds) was proposed as the plausible physical foundations of string theory. In such theory the s…
The programs of the Extended Relativity in C-spaces: towards the physical foundations of String Theory
Carlos Castro
An outline is presented of the Extended Scale Relativity (ESR) in C-spaces (Clifford manifolds), where the speed of light and the minimum Planck scale are the two universal invaria…
Fractal Strings as the Basis of Cantorian-Fractal Spacetime and the Fine Structure Constant
Carlos Castro
Beginning with the most general fractal strings/sprays construction recently expounded in the book by Lapidus and Frankenhuysen, it is shown how the complexified extension of El Na…