This book gives a description of state-sum quantum gravity models which are based on triangulations of a smooth spacetime manifold. It contains detailed descriptions of Regge quantum gravity, spin-foam models and spin-cube models. Some other similar models, like the dynamical triangulations models, are only briefly described, since the sum over the spacetime triangulations is outside the scope of this book.The book also contains a detailed description of the approach where the piecewise linear (PL) manifold corresponding to a smooth manifold triangulation is considered as the basic structure of the spacetime. Hence the PL structure is not an auxiliary tool used to define the gravitational path integral for a smooth spacetime, but it is taken as a physical property of the spacetime. Consequently, it is straightforward to construct a finite gravitational path integral. Another consequence is that the problems of determination of the classical limit and how to calculate the quantum corrections can be solved by using the effective action method. The smooth manifold limit problem is then replaced by the problem of a smooth manifold approximation for the effective action, which can be obtained by using the standard quantum field theory with a physical cutoff.Some physical effects of a PL spacetime quantum gravity theory are also described, one of which is that the cosmological constant spectrum contains the observed value.A short exposition of higher gauge theory is also given, which is a promising way to generalize a gauge symmetry by using the concept of a 2-group. A 2-group is a categorical generalization of a group, and by using this approach one can construct the spin-cube models of quantum gravity.
This book gives a description of state-sum quantum gravity models which are based on triangulations of a smooth spacetime manifold. It contains detailed descriptions of Regge quantum gravity, spin-foam models and spin-cube models. Some other similar models, like the dynamical triangulations models, are only briefly described, since the sum over the spacetime triangulations is outside the scope of this book.The book also contains a detailed description of the approach where the piecewise linear (PL) manifold corresponding to a smooth manifold triangulation is considered as the basic structure of the spacetime. Hence the PL structure is not an auxiliary tool used to define the gravitational path integral for a smooth spacetime, but it is taken as a physical property of the spacetime. Consequently, it is straightforward to construct a finite gravitational path integral. Another consequence is that the problems of determination of the classical limit and how to calculate the quantum corrections can be solved by using the effective action method. The smooth manifold limit problem is then replaced by the problem of a smooth manifold approximation for the effective action, which can be obtained by using the standard quantum field theory with a physical cutoff.Some physical effects of a PL spacetime quantum gravity theory are also described, one of which is that the cosmological constant spectrum contains the observed value.A short exposition of higher gauge theory is also given, which is a promising way to generalize a gauge symmetry by using the concept of a 2-group. A 2-group is a categorical generalization of a group, and by using this approach one can construct the spin-cube models of quantum gravity.
This is the first in-depth, English-language history of modern Serbia in nearly half a century. It covers the period from the Serbian state's revolutionary rebirth in the early nineteenth century, under the rebel leaders Karadorde Petrovic and Milo? Obrenovic; its turbulent history of wars, uprisings and dynastic rivalries; the triumph of Yugoslav unification in 1918; and the catastrophe of occupation by Nazi Germany in 1941. It shows how the birth of the modern nation-state involved the creation of a new elite-dynasty, army and bureaucracy-whose rule over the peasantry generated a popular resistance that would ultimately take form in Nikola Pa?ic's mighty People's Radical Party. The resulting struggle between elitist Westernisers and pro- Russian populists became entwined with the struggle for pan-Serb and Yugoslav liberation and unification. These causes came together with the Sarajevo assassination of 1914, which triggered the First World War. Existing histories of the Yugoslav kingdom that emerged from that war focus on the national conflict between Serbs, Croats, Bosnian Muslims and others, but Marko Attila Hoare challenges this narrative. He shows how the new kingdom's politics continued to be dominated by the ongoing internal Serbian power struggle, bringing renewed disaster to Yugoslavia and its peoples.
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