When using the Radioactive Decay Module (RDM), the global time can easily reach ~10^17 s(238U decay, for example). Setting the tracking verbosity and looking for a step's local time easily shows that it is always zero for this type of long lived decay.
The Local time of the track (the time from when the track is created) is set properly by Radioactive Decay as you can see a output of U238 decay (tracking verbose 5) below. ********************************************************************************************************* * G4Track Information: Particle = U238[0.0], Track ID = 1, Parent ID = 0 ********************************************************************************************************* Step# X(mm) Y(mm) Z(mm) KinE(MeV) dE(MeV) StepLeng TrackLeng NextVolume ProcName 0 0 0 0 0 0 0 0 Target initStep **List of AtRestDoIt invoked: # 1 : RadioactiveDecay (Forced) Generated secondries # : 2 -- List of secondaries generated : (x,y,z,kE,t,PID) -- 0 0 0 0.0719006 1.77025e+26 Th234[0.0] 0 0 0 4.2021 1.77025e+26 alpha ++G4Step Information Address of G4Track : 0x3536a90 Step Length (mm) : 0 Energy Deposit (MeV) : 0 ----------------------------------------------------------------------- StepPoint Information PreStep PostStep ----------------------------------------------------------------------- Position - x (mm) : 0 0 Position - y (mm) : 0 0 Position - z (mm) : 0 0 Global Time (ns) : 01.770252638705842e+26 Local Time (ns) : 01.770252638705842e+26 Proper Time (ns) : 0 0 ................... However, the proper time was not set properly. This bug will be fixed in the next patch for the relase 8.0.