@techreport{Dandekar2021,
  type      = {Working Paper},
  author    = {Dandekar, Thomas},
  title     = {A new cosmology of a crystallization process (decoherence) from the surrounding quantum soup provides heuristics to unify general relativity and quantum physics by solid state physics},
  doi       = {10.25972/OPUS-23076},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-230769},
  pages     = {42 Seiten},
  year      = {2021},
  abstract  = {We explore a cosmology where the Big Bang singularity is replaced by a condensation event of interacting strings. We study the transition from an uncontrolled, chaotic soup ("before") to a clearly interacting "real world". Cosmological inflation scenarios do not fit current observations and are avoided. Instead, long-range interactions inside this crystallization event limit growth and crystal symmetries ensure the same laws of nature and basic symmetries over our domain. Tiny mis-arrangements present nuclei of superclusters and galaxies and crystal structure leads to the arrangement of dark (halo regions) and normal matter (galaxy nuclei) so convenient for galaxy formation. Crystals come and go, allowing an evolutionary cosmology where entropic forces from the quantum soup "outside" of the crystal try to dissolve it. These would correspond to dark energy and leads to a big rip scenario in 70 Gy. Preference of crystals with optimal growth and most condensation nuclei for the next generation of crystals may select for multiple self-organizing processes within the crystal, explaining "fine-tuning" of the local "laws of nature" (the symmetry relations formed within the crystal, its "unit cell") to be particular favorable for self-organizing processes including life or even conscious observers in our universe. Independent of cosmology, a crystallization event may explain quantum-decoherence in general: The fact, that in our macroscopic everyday world we only see one reality. This contrasts strongly with the quantum world where you have coherence, a superposition of all quantum states. We suggest that a "real world" (so our everyday macroscopic world) happens only in our domain, i.e. inside a crystal. "Outside" of our domain and our observable universe there is the quantum soup of boiling quantum foam and superposition of all possibilities. In our crystallized world the vacuum no longer boils but is cooled down by the crystallization event and hence is 10**20 smaller, exactly as observed in our everyday world. As we live in a "solid" state, within a crystal, the different quanta which build our world have all their different states nicely separated. This theory postulates there are only n quanta and m states available for them (there is no Everett-like ever splitting multiverse after each decision). In the solid state we live in, there is decoherence, the states are nicely separated. The arrow of entropy for each edge of the crystal forms one fate, one worldline or clear development of a world, while the layers of the crystal are different system states. Some mathematical leads from loop quantum gravity point to required interactions and potentials. A complete mathematical treatment of this unified theory is far too demanding currently. Interaction potentials for strings or membranes of any dimension allow a solid state of quanta, so allowing decoherence in our observed world are challenging to calculate. However, if we introduce here the heuristic that any type of physical interaction of strings corresponds just to a type of calculation, there is already since 1898 the Hurwitz theorem showing that then only 1D, 2D, 4D and 8D (octonions) allow complex or hypercomplex number calculations. No other hypercomplex numbers and hence dimensions or symmetries are possible to allow calculations without yielding divisions by zero. However, the richest solution allowed by the Hurwitz theorem, octonions, is actually the observed symmetry of our universe, E8.  },
  subject      = {Kosmologie},
  language  = {en}
}
@phdthesis{Adamek2011,
  author    = {Adamek, Julian},
  title     = {Classical and Quantum Aspects of Anisotropic Cosmology},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-65908},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2011},
  abstract  = {The idea that our observable Universe may have originated from a quantum tunneling event out of an eternally inflating false vacuum state is a cornerstone of the multiverse paradigm. Modern theories that are considered as an approach towards the ultraviolet-complete fundamental theory of particles and gravity, such as the various types of string theory, even suggest that a vast landscape of different vacuum configurations exists, and that gravitational tunneling is an important mechanism with which the Universe can explore this landscape. The tunneling scenario also presents a unique framework to address the initial conditions of our observable Universe. In particular, it allows to introduce deviations from the cosmological concordance model in a controlled and well-motivated way. These deviations are a central topic of this work. An important feature in most of the theories mentioned above is the presumed existence of additional space dimensions in excess of the three which we observe in our every-day experience. It was realized that these extra dimensions could avoid our detection if they are compactified to microscopic length scales far beyond the reach of current experiments. There also seem to be natural mechanisms available for dynamical compactification in those theories. These typically lead to a vast landscape of different vacuum configurations which also may differ in the number of macroscopic dimensions, only the total number of dimensions being determined by the theory. Transitions between these vacuum configurations may hence open up new directions which were previously compact, spontaneously compactify some previously macroscopic directions, or otherwise re-arrange the configuration of compact and macroscopic dimensions in a more general way. From within the bubble Universe, such a process may be perceived as an anisotropic background spacetime - intuitively, the dimensions which open up may give rise to preferred directions. If our 3+1 dimensional observable Universe was born in a process as described above, one may expect to find traces of a preferred direction in cosmological observations. For instance, two directions could be curved like on a sphere, while the third space direction is flat. Using a scenario of gravitational tunneling to fix the initial conditions, I show how the primordial signatures in such an anisotropic Universe can be obtained in principle and work out a particular example in more detail. A small deviation from isotropy also has phenomenological consequences for the later evolution of the Universe. I discuss the most important effects and show that backreaction can be dynamically important. In particular, under certain conditions, a buildup of anisotropic stress in different components of the cosmic fluid can lead to a dynamical isotropization of the total stress-energy tensor. The mechanism is again demonstrated with the help of a physical example.},
  subject      = {Kosmologie},
  language  = {en}
}
@phdthesis{Simon2011,
  author    = {Simon, Dennis},
  title     = {Aspects in the fate of primordial vacuum bubbles},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-67019},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2011},
  abstract  = {At the present day the idea of cosmological inflation constitutes an important extension of Big Bang theory. Since its appearance in the early 1980's many physical mechanisms have been worked out that put the inflationary expansion of space that proceeds the Hot Big Bang on a sound theoretical basis. Among the achievements of the theory of inflation are the explanaition of the almost Euclidean geometry of 'visible'space, the homogeneity of the cosmic background radiation but, in particular, also the tiny inhomogeneity of a relative amplitude of 10-5. In many models of inflation the inflationary phase ends only locally. Hence, there exists the possibility that the inflationary process still goes on in regions beyond our visual horizon. This property is commonly termed 'eternal inflation'. In the framework of a cosmological scalar fields, eternal inflation can manifest itself in a variety of ways. On the one hand fluctuations of the field, if sufficiently large, can work against the classical trajectory and therefore counteract the end of inflation. In regions where this is the case the accelerated expansion of space continues at a higher rate. In parts of this region the process may replicate itself again and in this way may continue throughout all of time. Space and field are said to reproduce themselves. On the other hand, a mechanism that can occur in addition or independent of the latter, is so called vacuum tunneling. If the potential of the scalar field has several local minima, a semi-classical calculation suggests that within a spherical region, a bubble, the field can tunnel to another state. The respective tunneling rates depend on the potential difference and the shape of the potential between the states. Generally, the tunneling rate is exponentially suppressed, which means that the inflation lasts for a long time before tunneling takes place. The ongoing inflationary process effectively reduces local curvature, anistotropy and inhomogeneity, so that this property is known as the 'cosmic no-hair conjecture'. For this reason cosmological considerations of the evolution of bubbles thus far almost entirely involved vacuum (de Sitter) backgrounds. However, new insights in the framework of string theory suggest high tunneling rates which allow for the possibility of bubble nucleation in non-vacuum dominated backgrounds. In this case the evolution of the bubble depends on the properties of the background spacetime. A deeper introduction in chapter 4 is followed by the presentation of the Lema{\^i}tre-Tolman spacetime in chapter 5 which constitutes the background spacetime in the study of the effect of matter and inhomogeneity on the evolution of vacuum bubbles. In chapter 6 we explicitly describe the application of the 'thin-shell' formalism and the resulting system of equations. This is succeeded in chapter 7 by the detailed analysis of bubble evolution in various limits of the Lema{\^i}tre-Tolman spacetime and a Robertson-Walker spacetime with a rapid phase transition. The central observations are that the presence of dust, at a fixed surface energy density, goes along with a smaller nucleation volume and possibly leads to a a collapse of the bubble. In an expanding background, the radially inhomogeneous dust profile is efficiently diluted so that there is essentially no effect on the evolution of the domain wall. This changes in a radially inhomogeneous curvature profile, positive curvature decelerates the expansion of the bubble. Moreover, we point out that the adopted approach does not allow for a treatment of a, physically expected, matter transfer so that the results are to be understood as preliminary under this caveat. In the second part of this thesis we consider potential observable consequences of bubble collisions in the cosmic microwave background radiation. The topological nature of the signal suggests the use of statistics that are well suited to quantify the morphological properties of the temperature fluctuations. In chapter 10 we present Minkowski Functionals (MFs) that exactly provide such statistics. The presented error analysis allows for a higher precision of numerical MFs in comparison to earlier methods. In chapter 12 we present the application of our algorithm to a Gaussian and a collision map. We motivate the expected MFs and extract their numerical counterparts. We find that our least-squares fitting procedure accurately reproduces an underlying signal only when a large number of realizations of maps are averaged over, while for a single WMAP and PLANCK resolution map, only when a highly prominent disk, with |δT| = 2√σG and ϑd = 40◦, we are able to recover the result. This is unfortunate, as it means that MF are intrinsically too noisy to be able to distinguish cold and hot spots in the CMB for small sizes.},
  subject      = {Kosmologie},
  language  = {en}
}
@phdthesis{Elsaesser2011,
  author    = {Els{\"a}sser, Dominik Martin},
  title     = {Indirect Search for Dark Matter in the Universe - the Multiwavelength and Multiobject Approach},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-69464},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2011},
  abstract  = {Dunkle Materie ist ein zentraler Bestandteil der modernen Kosmologie, und damit von entscheidender Bedeutung f{\"u}r unser Verst{\"a}ndnis der Strukturbildung im Universum. Das offensichtliche Fehlen von elektromagnetischer Wechselwirkung in Kombination mit unabh{\"a}ngigen Messungen der Energiedichte der baryonischen Materie {\"u}ber die H{\"a}ufigkeit der primordialen leichten Elemente weisen auf eine nicht-baryonische Natur der Dunklen Materie hin. Die Wirkung der Dunklen Materie bei der Strukturbildung zeigt weiterhin dass ihre Konstituenten kalt sind, also zum Zeitpunkt des Gleichgewichts zwischen Strahlung und Materie eine Temperatur kleine als ihre Ruhemasse aufwiesen. Generische Kandidaten f{\"u}r das Dunkelmaterie-Teilchen sind stabile, schwach wechselwirkende Teilchen mit Ruhemassen von der Gr{\"o}ßenordnung der Skala der elektroschwachen Symmetriebrechung, wie sie zum Beispiel in der Supersymmetrie bei erhaltener R-Parit{\"a}t vorkommen. Derartige Teilchen frieren auf nat{\"u}rliche Weise im fr{\"u}hen Universum mit kosmologisch relevanten Reliktdichten aus. Die fortschreitende Strukturbildung im Universum f{\"u}hrt dann zur Bildung von {\"u}berdichten Regionen, in denen die Dunkelmaterie-Teilchen wiederum in signifikantem Ausmaß annihilieren k{\"o}nnen. Dadurch w{\"u}rde ein potentiell detektierbarer Fluß von Hochenergie-Teilchen einschließlich Photonen aus den instabilen Zwischenprodukten der Annihilationsereignisse erzeugt. Die Spektren dieser Teilchen w{\"u}rden R{\"u}ckschl{\"u}sse auf die Masse und den Annihilations-Querschnitt als wichtige Gr{\"o}ßen zur mikrophysikalischen Identifikation der Dunkelmaterie-Teilchen erlauben. Darin liegt die zentrale Motivation f{\"u}r indirekte Suchen nach der Dunklen Materie. Zum gegenw{\"a}rtigen Zeitpunkt jedoch haben weder diese indirekten Suchen, noch direkte Methoden zur Suche nach elastischen Streuereignissen zwischen Dunkelmaterie-Teilchen und Atomkernen sowie Beschleunigerexperimente einen eindeutigen Nachweis von Dunkelmaterie-Teilchen erbracht. Das an sich stellt keine {\"U}berraschung dar, denn die zu erwartenden Signale sind aufgrund der schwachen Wechselwirkung der Teilchen nur von geringer Intensit{\"a}t. Im Falle der indirekten Suchen steht zu erwarten, dass selbst f{\"u}r die gr{\"o}ßten Massekonzentrationen im Universum die St{\"a}rke des Annihilationssignals der Dunklen Materie den durch astrophysikalische Quellen verursachten Untergrund nicht {\"u}berschreitet. Die M{\"o}glichkeit der sicheren Unterscheidung zwischen einem m{\"o}glichen Signal aus der Annihilation der Dunklen Materie und eben diesem Untergrund ist daher entscheidend f{\"u}r die Erfolgsaussichten der indirekten Suchen. In der vorliegenden Arbeit wird eine neuartige Suchstrategie ausgearbeitet und vorgestellt, deren zentrale Komponente die Auswahl von Beobachtungszielen aus einem breiten Massebereich, die Kontrolle der astrophysikalischen Untergr{\"u}nde, und die Einbeziehung von Daten aus mehreren Wellenl{\"a}ngenbereichen ist. Die durchgef{\"u}hrten Beobachtungen werden vorgestellt und interpretiert. Ein Ergebnis ist, dass die Unsicherheiten in Bezug auf die Verteilung der Dunklen Materie in Halos und deren individuelle Dichtestruktur, sowie in Bezug auf die m{\"o}gliche Verst{\"a}rkung des Annihilationssignales durch Substruktur, im Falle der massearmen Halos (wie zum Beispiel bei den Zwerggalaxien) gr{\"o}ßer ist als bei massereichen Halos, wie denen der Galaxienhaufen. Andererseits weisen die massereichen Halos gr{\"o}ßere Unsicherheiten in Hinblick auf die zu erwartenden rein astrophysikalischen Untergr{\"u}nde auf. Die Unsicherheiten in Bezug auf die bisher unbekannte Teilchenphysik jenseits des Standardmodells schließlich sind unabh{\"a}ngig von der Masse der beobachteten Halos. Im Zusammenspiel erm{\"o}glichen es diese unterschiedlichen Skalierungsverhalten, die globale Unsicherheit durch eine kombinierte Analyse der Beobachtungen von Halos mit verschiedenen Massen, die einen bedeutenden Teil der Masseskala abdecken, nennenswert zu reduzieren. Diese Strategie wurde im Rahmen des wissenschaftlichen Beobachtungsprogrammes des MAGIC Teleskopsystems implementiert. Es wurden Beobachtungen von Zwerggalaxien sowie des Virgo- und des Perseus-Galaxienhaufens durchgef{\"u}hrt. Die resultierenden Grenzen auf Gammastrahlung aus der Annihilation von schwach wechselwirkenden, massereichen Teilchen geh{\"o}ren zum Zeitpunkt dieser Niederschrift zu den st{\"a}rksten Grenzen aus indirekten Suchen nach der Dunklen Materie. Die so gewonnenen Grenzen auf die Annihilations-Fl{\"u}sse schr{\"a}nken einige in der Literatur diskutierte und durch aussergew{\"o}hnlich große Annihilations-Fl{\"u}sse gekennzeichnete Szenarien stark ein.},
  subject      = {Gammastrahlung},
  language  = {en}
}