Gravitational edge modes from spacetime surgery act as effective dark matter by flattening galaxy rotation curves through modified particle trajectories.
An adaptively refined phase-space element method for cosmological simulations and collisionless dynamics
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abstract
N-body simulations are essential for understanding the formation and evolution of structure in the Universe. However, the discrete nature of these simulations affects their accuracy when modelling collisionless systems. We introduce a new approach to simulate the gravitational evolution of cold collisionless fluids by solving the Vlasov-Poisson equations in terms of adaptively refineable "Lagrangian phase space elements". These geometrical elements are piecewise smooth maps between Lagrangian space and Eulerian phase space and approximate the continuum structure of the distribution function. They allow for dynamical adaptive splitting to accurately follow the evolution even in regions of very strong mixing. We discuss in detail various one-, two- and three-dimensional test problems to demonstrate the performance of our method. Its advantages compared to N-body algorithms are: i) explicit tracking of the fine-grained distribution function, ii) natural representation of caustics, iii) intrinsically smooth gravitational potential fields, thus iv) eliminating the need for any type of ad-hoc force softening. We show the potential of our method by simulating structure formation in a warm dark matter scenario. We discuss how spurious collisionality and large-scale discreteness noise of N-body methods are both strongly suppressed, which eliminates the artificial fragmentation of filaments. Therefore, we argue that our new approach improves on the N-body method when simulating self-gravitating cold and collisionless fluids, and is the first method that allows to explicitly follow the fine-grained evolution in six-dimensional phase space.
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A covariant zoom-in perturbation theory framework resolves geodesic breakdown via hierarchical matter horizons, producing an effective energy-momentum tensor whose backreaction explains flat galaxy rotation curves without dark matter.
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Gravitational edge mode powers galaxy flat rotation curves
Gravitational edge modes from spacetime surgery act as effective dark matter by flattening galaxy rotation curves through modified particle trajectories.
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An essential building block for cosmological zoom-in perturbation theory
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First Results from the TNG50 Simulation: Galactic outflows driven by supernovae and black hole feedback
TNG50 shows galactic outflow mass loading is non-monotonic with stellar mass, rising rapidly above 10^10.5 Msun due to black hole feedback, and produces fast multi-phase outflows with emergent collimation.
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Cosmological zoom-in perturbation theory as a consistent beyond point-particle approximation framework
A covariant zoom-in perturbation theory framework resolves geodesic breakdown via hierarchical matter horizons, producing an effective energy-momentum tensor whose backreaction explains flat galaxy rotation curves without dark matter.
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