Classical Analogies in the Solution of Quantum Many Body Problems This book addresses problems in three main developments in modern condensed matter physics namely topological superconductivity many body localization and strongly interacting condensates superfluids by employing fruitful analogies from classical mechanics. This strategy has led to tangible results firstly in superconducting nanowires: the density of states a smoking gun for the long sought Majorana zero mode is calculated effortlessly by mapping the problem to a textbook level classical point particle problem. Secondly in localization theory even the simplest toy models that exhibit many body localization are mathematically cumbersome and results rely on simulations that are limited by computational power. In this book an alternative viewpoint is developed by describing many body localization in terms of quantum rotors that have incommensurate rotation frequencies an exactly solvable system. Finally the fluctuations in a strongly interacting Bose condensate and superfluid a notoriously difficult system to analyze from first principles are shown to mimic stochastic fluctuations of space time due to quantum fields. This analogy not only allows for the computation of physical properties of the fluctuations in an elegant way it sheds light on the nature of space time. The book will be a valuable contribution for its unifying style that illuminates conceptually challenging developments in condensed matter physics and its use of elegant mathematical models in addition to producing new and concrete results Chapter1. Introduction Chapter2. Long Range p Wave Proximity Effect into a Disordered Metal Chapter3. Analogue Stochastic Gravity in Strongly Interacting Bose Einstein Condensates Chapter4. Dynamical Many Body Localization in an Integrable Model Chapter5. Conclusions