  It took two millennia after Euclid and until in the early 1880s, when we went
beyond the ancient axiom of parallels, and inaugurated geometries of curved
spaces. In less than one more century, General Relativity followed. At present,
physical thinking is still beheld by the yet deeper and equally ancient
Archimedean assumption which entraps us into the limited view of "only one
walkable world". In view of that, it is argued with some rather easily
accessible mathematical support that Theoretical Physics may at last venture
into the Non-Archimedean realms.
