  We propose a novel fast track finding system capable of reconstructing four
dimensional particle trajectories in real time using precise space and time
information of the hits. Recent developments in silicon pixel detectors
achieved 150 ps time resolution and intense R&D is in progress to improve the
timing performance, aiming at 10 ps. The use of the precise space and time
information allows the suppression of background hits not compatible with the
time of passage of the particle and the determination of its time evolution.
The fast track finding device that we are proposing is based on a massively
parallel algorithm implemented in commercial field-programmable gate array
using a pipelined architecture. We describe the algorithm and its
implementation for a tracking system prototype based on 8 planes of silicon
sensors used as a case study. According to simulations the suppression of noise
hits is effective in reducing fake track combinations and improving real-time
track reconstruction in presence of background hits. The system provides
offline-like tracks with sub-microsecond latency and it is capable to determine
the time of the track with picosecond resolution assuming 10 ps resolution for
the hits.
