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Assuming the hypothesis of TeV-scale multi-dimensional gravity, one canimagine that at LHC not only mini-black-holes (MBH) will be intensivelycreated, but also other exotic gravitational configurations, includinghypothetical mini-time-machines (MTM). Like MBH, they should quickly evaporate,but one can wonder if their temporal existence at the moment of high-energycollision can leave any traces in the observable data. We briefly discuss fivethinkable effects: (i) change of the energy spectrum due to thefrequency-filtration property of MTM, (ii) possible production of anomalouslyenergetic particles, accelerated by passing many times through gravitationalfield inside the MTM, (iii) acceleration of particle decays, since the propertime of a particle moving inside MTM can strongly exceed the laboratory time,(iv) CPT and naive unitarity violation (thermalization) due to effectivenon-local interactions caused by MTM and to possible ambiguity in thepopulation of closed world-lines inside MTM, (v) collective effects due toconversion of a single particle into a bunch of its co-existing copies withinthe MTM. Despite possible particle-antiparticle conversion inside MTM, they donot seem to produce any specific CP-violation effects.

If LHC is a Mini-Time-Machines Factory, Can We Notice?