Aspects of Relativity in Flat Spacetime
This monograph explores the mathematical foundations of Special Relativity in flat spacetime, with a specific focus on the Lorentz group and its applications to mechanics and electrodynamics.
816 papers
This monograph explores the mathematical foundations of Special Relativity in flat spacetime, with a specific focus on the Lorentz group and its applications to mechanics and electrodynamics.
This study investigates the evolution of inflationary black holes coupled to the cosmological background via a generalized McVittie geometry within Starobinsky's inflation model, finding that only those with a specific initial mass range can survive Hawking evaporation and avoid runaway growth to persist today as sub-solar mass objects.
Zeitz, Wolf, and Stark demonstrate that while active and Brownian particles exhibit similar subdiffusive behavior near the percolation threshold in a random Lorentz gas, active particles reach steady state faster and display lower effective diffusion at high activity due to self-trapping effects.
This paper demonstrates that fine-tuning a PDE foundation model on the JAG benchmark significantly improves sample efficiency and accuracy in the inverse estimation of inertial confinement fusion system parameters from multi-modal observations, particularly in data-limited regimes.
This paper resolves the controversy of spurious multifractality in discrete systems by establishing a rigorous Finite-Size Scaling protocol for MFDFA on the 2D Ising model, demonstrating that apparent multifractality in clean systems is a finite-size artifact while genuine multifractality persists in disordered variants like the Random Bond Ising Model.
This paper constructs diverse families of exact solutions in General Relativity coupled to non-linear sigma models—including bumpy black holes, stars, and cosmologies in various dimensions—by utilizing first-order Bogomol'nyi-Prasad-Sommerfield relations for coset scalars.
This study utilizes Computational Grounded Theory to analyze over 10 million tokens of chatbot interactions from a university Modern Physics course, successfully identifying persistent student misconceptions and reasoning patterns to demonstrate the method's potential for scaling insights in AI-driven educational research.
This paper utilizes the method of resurgent continuation of transseries to establish a novel correspondence between the -series counting quarter-BPS black hole degeneracies and invariants of Chern-Simons theory on specific orientation-reversed 3-manifolds.
This paper establishes the Drinfeld correspondence between Poisson Lie groups and Lie bialgebras in the infinite-dimensional setting, specifically extending the theory to regular Lie groups modeled on convenient vector spaces such as nuclear Fréchet and Silva spaces, with applications to loop groups and diffeomorphism groups.
This paper proves that the coordinate change formula for the Liouville quantum gravity distance function holds almost surely for all conformal maps simultaneously, thereby rigorously establishing the definition of a quantum surface as a random equivalence class of domains equipped with both LQG area and distance measures.
This paper employs a distributional formalism to derive generalized junction conditions for arbitrary gravitational theories based on curvature invariants, establishing specific continuity requirements for the Riemann tensor and its derivatives that determine the existence of thin shells, gravitational double layers, or impulsive waves.
Using Monte Carlo simulations, this study reveals that soft-core bosons in shallow spherical traps form concentric icosahedral and dodecahedral shell clusters exhibiting non-uniform superfluidity that vanishes with heating while clusters persist, a phenomenon predicted to be observable in Rydberg-dressed atom bubble traps.
Using minimal models of water-filled carbon nanotubes, this study reveals that one-dimensional nanopores induce anomalously large, ion-size-dependent confinement penalties that contradict the Born equation and are dramatically mitigated by a giant, concentration-dependent ion-screening effect from background electrolytes.
This paper presents Stan, a locally deployed, privacy-preserving AI system for an undergraduate thermodynamics course that utilizes open-weight models to simultaneously provide grounded, reference-backed tutoring for students and generate actionable teaching insights for instructors from a shared corpus of lecture transcripts and textbook data.
This paper proposes and analyzes a low-voltage error-suppression technique for stochastic CMOS bits by coupling them into chains, demonstrating via tensor network simulations that while inter-unit correlations enhance reliability, increasing bias voltage remains a more energy-efficient path to stability than extending chain length.
This paper presents a tractable model for strongly clustered random graphs based on triadic closure, providing exact analytical expressions for their local clustering spectrum and degree correlations while demonstrating that high transitivity leads to positive degree assortativity.
This paper proposes sFRC, a novel method that performs Fourier Ring Correlation analysis over small patches to robustly detect and quantify hallucinations in deep learning-based medical image restoration across various undersampled imaging problems.
This paper presents a self-consistent coupled transport framework for open and hidden charm in a strongly coupled quark-gluon plasma, utilizing thermodynamic -matrix interactions constrained by lattice QCD to simultaneously describe charm-quark diffusion and charmonium kinetics, thereby successfully reproducing LHC Pb-Pb collision observables.
This paper presents the first analytic solutions for nearly equatorial, plunging orbits of spinning test particles in Kerr spacetime, providing closed-form corrections to the innermost bound circular orbit and a novel parametrization to aid in modeling gravitational waveforms.
This paper presents a rotational multimaterial 3D printing strategy that encodes programmable intrinsic curvature and twist into active-passive elastomeric filaments, enabling the fabrication of shape-morphing lattices with independently controlled bending and torsion for adaptive robotic applications.