Time Crystals from Minimum Time Uncertainty

Motivated by the Generalized Uncertainty Principle, covariance, and a minimum measurable time, we propose a deformation of the Heisenberg algebra and show that this leads to corrections to all quantum mechanical systems. We also demonstrate that such a deformation implies a discrete spectrum for time. In other words, time behaves like a crystal. As an application of our formalism, we analyze the effect of such a deformation on the rate of spontaneous emission in a hydrogen atom.Comment: 11 pages, to appear in Eur. Phys. J.

Remnant for all Black Objects due to Gravity's Rainbow

We argue that a remnant is formed for all black objects in gravity's rainbow. This will be based on the observation that a remnant depends critically on the structure of the rainbow functions, and this dependence is a model independent phenomena. We thus propose general relations for the modified temperature and entropy of all black objects in gravity's rainbow. We explicitly check this to be the case for Kerr, Kerr-Newman-dS, charged-AdS, and higher dimensional Kerr-AdS black holes. We also try to argue that a remnant should form for black Saturn in gravity's rainbow. This work extends our previous results on remnants of Schwarzschild black holes [ arXiv:1402.5320] and black rings [arXiv:1409.5745].Comment: 21 pages, 13 figures, Accepted in Nucl.Phys.

Remnants of Black Rings from Gravity's Rainbow

In this paper, we investigate a spinning black ring and a charged black ring in the context of gravity's rainbow. By incorporating rainbow functions proposed by Amelino-Camelia, et al. in [arXiv:hep-th/9605211, arXiv:0806.0339v2] in the metric of the black rings, a considerable modification happens to their thermodynamical properties. We calculate corrections to the temperature, entropy and heat capacity of the black rings. These calculations demonstrate that the behavior of Hawking radiation changes considerably near the Planck scale in gravity's rainbow, where it is shown that black rings do not evaporate completely and a remnant is left as the black rings evaporate down to Planck scale.Comment: 14 pages, 6 figure

An experimental investigation of the influence of intermittent and continuous operating modes on the thermal behaviour of a full scale geothermal energy pile

Heat pumps connected to geothermal energy piles have variable operating hours. These variable hours can affect the thermal behaviour of these piles. Some key findings are presented for intermittent (16 hour) and continuous (24 hour) cooling modes in this abstract. It is found that the 16 hour cooling mode is more beneficial in terms of energy extraction, ground recovery, pile temperature and strain recovery

Absence of Black Holes at LHC due to Gravity's Rainbow

In this paper, we investigate the effect of Planckian deformation of quantum gravity on the production of black holes at colliders using the framework of gravity's rainbow. We demonstrate that a black hole remnant exists for Schwarzschild black holes in higher dimensions using gravity's rainbow. The mass of this remnant is found to be greater than the energy scale at which experiments were performed at the LHC. We propose this as a possible explanation for the absence of black holes at the LHC. Furthermore, we demonstrate that it is possible for black holes in six (and higher) dimensions to be produced at energy scales that will be accessible in the near future.Comment: 16 pages, 5 figures, to appear in Phys. Lett.

Adopting dynamic transient response analysis for sensors positioning to monitor cable stayed bridge

Periodically, long span bridges require constant structural assessment and continuous monitoring. Recently, existed bridges and vehicles loading mechanism have influenced many studies to predicate the dynamic bridge response and monitor damage occurrence. The objective of present study is set to monitor the Penang (I) Bridge using finite element model to verify the positioning of sensors. 3D model was developed to evaluate the modal parameter’s momentous attitude alteration of the bridge selected grid points and elements. Discussion is focused upon the output parameters such as displacements and stresses generated by vehicles weights. Three types of vehicles were chosen for the purpose of crossing the bridge. In conclusion, from the six lanes of the bridge, high displacements were obtained at the lane 6 (the most left or right side lane) due to vehicles loads at the grid points while maximal stresses were enhanced at lane 6 and 4 (either of the two middle lanes) of the chosen girder beam at bridge spans and cable elements of the infrastructure. Subsequently, sensors were positioned at the grid points in lane 6 and elements located at both lanes due to the mixed loading events

Preventive maintenance scheduling based on failure data in a medical device manufacturing facility

Thesis (M. Eng.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2009.Cataloged from PDF version of thesis.Includes bibliographical references (p. 80-81).This study was conducted at a medical device production facility where analysis was done on the reliability of Product S barrel molds for the purpose of predicting preventive maintenance (PM) schedule. Pareto Rule was utilized to filter out the defect-types that are causing 80% of the defect occurrences. Defect density was introduced, i.e. the ratio between total number of defects occurred per cavity position to the total types of defects occurring on that same position, as a performance measure to track defects over the mold cavities . Statistical distribution tests on the failure times of the molds were carried out and found that the failure times for the molds differ. Mold failure times follow the log normal or Weibull distribution. Parameter estimates obtained from probability plots of these distributions were used to obtain the mean-time-to-failure (MTTF) and reliability of the molds. Finally, this study looked into the scheduled preventive maintenance (PM) of the molds based on the current PM task list. Failure times based on individual mold PM task lists that correspond to the mitigation of the priority defect-types, were collected and assigned a statistical distribution. After which, we analyzed the expected number of annual mold failures based on the relevant parameters of the failure times distribution and the various PM scheduling policies proposed, to derive a recommendation on the optimal PM interval to be performed in a year.by Mohammed Faizal B Mohd Fauzi.M.Eng