6 citations · 16 across the 13 of their papers we have counts for
4 papers · 1 filter
Beyond the Space-Time Boundary
Michael Heller, Jerzy Król
In General Relativity a space-time is regarded singular if there is an obstacle that prevents an incomplete curve in to be continued. Usually, such a space-time is complete…
Gravity in the smallest
Michael Heller, Jerzy Król
Synthetic Differential Geometry (SDG) is a categorical version of differential geometry based on enriching the real line with infinitesimals and weakening of classical logic to int…
Synthetic Approach to the Singularity Problem
Michael Heller, Jerzy Król
We try to convince the reader that the categorical version of differential geometry, called Synthetic Differential Geometry (SDG), offers valuable tools which can be applied to wor…
On the origin of inflation
Torsten Asselmeyer-Maluga, Jerzy Król
In this paper we discuss a space-time having the topology of S^{3}xR but with different smoothness structure. This space-time is not a global hyperbolic space-time. Especially we o…