general relativity
Testing General Relativity Through Gravitational Wave Classification: A Convolutional Neural Network Framework
Heisenberg, Lavinia, Hemmatyar, Shayan, Villarrubia-Rojo, Hector
We present a machine learning framework for testing general relativity (GR) with gravitational wave signals from binary black hole mergers. Using the source parameters of 173 BBH events from the GWTC catalog as a realistic astrophysical population, we generate simulated GR waveforms and construct beyond GR (BGR) waveforms by applying controlled phase deformations. We introduce a response function formalism that provides a systematic framework for quantifying how any observable responds to modifications of GR. We train convolutional neural networks (CNNs) on two input representations: whitened waveforms and a response function type observable derived from the waveform mismatch, which isolates the effect of phase deviations from the bulk signal. Using response functions as the CNN input improves the classification sensitivity by a factor of approximately 33 compared to whitened waveforms, demonstrating that the choice of observable representation is as important as the classifier architecture. We study the fundamental limits of this classification through Bayes optimal error analysis, averaging methods that reveal coherent patterns hidden in noise, and a comparison between CNN accuracy and a single feature classifier as a proxy for human performance. At all deformation scales, the CNN outperforms the best single feature approach. We extend the framework to physically motivated theories using the parameterized post Einsteinian (ppE) formalism and apply it to massive gravity, where the classifier detects deviations for graviton masses of order $m_g \sim 10^{-23}\;\mathrm{eV}/c^2$ with aLIGO design sensitivity.
The problem of cosmic inflation and how to solve it
One of the best-performing models in cosmology is also one with the least physical rationale behind it. Can a theory of quantum gravity illuminate what happened just after the big bang? Cosmic inflation is a problem. During the first tiny fraction of a second of the universe, it is generally believed that the universe expanded by a factor of around 10. And then, as quickly as it began, this exponential growth just stopped.
For the first time, astronomers witnessed the birth of a 'magnetar'
Science Space Deep Space Black Holes For the first time, astronomers witnessed the birth of a'magnetar' These fast spinning, magnetic neutron stars may power some of the brightest supernovae in the cosmos. Artist's conception of a magnetar surrounded by an accretion disk that is wobbling, or precessing, because of the effects of general relativity. Some models of magnetars suggest that high-speed jets of charged particles emanate from the magnetar along its rotation axis. Breakthroughs, discoveries, and DIY tips sent six days a week. In December 2024, astronomers watched a star around 25 times the mass of our sun die in a blaze of glory.
The Curved Spacetime of Transformer Architectures
Di Sipio, Riccardo, Diaz-Rodriguez, Jairo, Serrano, Luis
We present a geometric framework for understanding Transformer-based language models, drawing an explicit analogy to General Relativity. Queries and keys induce an effective metric on representation space, and attention acts as a discrete connection that implements parallel transport of value vectors across tokens. Stacked layers provide discrete time-slices through which token representations evolve on this curved manifold, while backpropagation plays the role of a least-action principle that shapes loss-minimizing trajectories in parameter space. If this analogy is correct, token embeddings should not traverse straight paths in feature space; instead, their layer-wise steps should bend and reorient as interactions mediated by embedding space curvature. To test this prediction, we design experiments that expose both the presence and the consequences of curvature: (i) we visualize a curvature landscape for a full paragraph, revealing how local turning angles vary across tokens and layers; (ii) we show through simulations that excess counts of sharp/flat angles and longer length-to-chord ratios are not explainable by dimensionality or chance; and (iii) inspired by Einstein's eclipse experiment, we probe deflection under controlled context edits, demonstrating measurable, meaning-consistent bends in embedding trajectories that confirm attention-induced curvature.
KnowledgeSmith: Uncovering Knowledge Updating in LLMs with Model Editing and Unlearning
Luo, Yinyi, Zhou, Zhexian, Chen, Hao, Qiu, Kai, Savvides, Marios, Li, Sharon, Wang, Jindong
Knowledge editing and machine unlearning are two popular approaches for large language models (LLMs) to stay up-to-date. However, the knowledge updating mechanism of LLMs remains largely unexplored due to insufficient, isolated, and small-scale evaluation. For instance, are LLMs similar to humans in modifying certain knowledge? What differs editing and unlearning as training data increases? This paper proposes KnowledgeSmith, a unified framework to systematically understand the updating mechanism of LLMs. We first cast editing and unlearning as instances of one constrained optimization problem. Then, we propose an automatic dataset generator that provides structured interventions across multiple graph levels and data scales, enabling controlled studies of how different modification strategies propagate through model knowledge. Extensive experiments demonstrate nuanced insights over knowledge propagation, plasticity scaling, consistency, and robustness. For instance, our results show that LLMs do not exhibit similar updating as humans for different levels of knowledge, and there exists consistency-capacity trade-off. We hope our findings can offer suggestions to the design of more reliable and scalable strategies. Code: https://github.com/AIFrontierLab/KnowledgeSmith.git
Learning Null Geodesics for Gravitational Lensing Rendering in General Relativity
Sun, Mingyuan, Fang, Zheng, Wang, Jiaxu, Zhang, Kunyi, Zhang, Qiang, Xu, Renjing
We present GravLensX, an innovative method for rendering black holes with gravitational lensing effects using neural networks. The methodology involves training neural networks to fit the spacetime around black holes and then employing these trained models to generate the path of light rays affected by gravitational lensing. This enables efficient and scalable simulations of black holes with optically thin accretion disks, significantly decreasing the time required for rendering compared to traditional methods. We validate our approach through extensive rendering of multiple black hole systems with superposed Kerr metric, demonstrating its capability to produce accurate visualizations with significantly $15\times$ reduced computational time. Our findings suggest that neural networks offer a promising alternative for rendering complex astrophysical phenomena, potentially paving a new path to astronomical visualization.
Hypernym Mercury: Token Optimization Through Semantic Field Constriction And Reconstruction From Hypernyms. A New Text Compression Method
Forrester, Chris, Sulea, Octavia
Compute optimization using token reduction of LLM prompts is an emerging task in the fields of NLP and next generation, agentic AI. In this white paper, we introduce a novel (patent pending) text representation scheme and a first-of-its-kind word-level semantic compression of paragraphs that can lead to over 90% token reduction, while retaining high semantic similarity to the source text. We explain how this novel compression technique can be lossless and how the detail granularity is controllable. We discuss benchmark results over open source data (i.e. Bram Stoker's Dracula available through Project Gutenberg) and show how our results hold at the paragraph level, across multiple genres and models.
US government announces it has achieved ability to 'manipulate space and time' with new technology
The Trump Administration quietly revealed it has futuristic technologies that literally bend time during a speech on'the golden age of American innovation.' The director of the White House Office of Science and Technology Policy, Michael Kratsios, declared that the US currently has the ability to'manipulate time and space' and'leave distance annihilated.' Kratsios made the bold statement on Monday during the Endless Frontiers Retreat, a scientific conference in Texas focused on promoting US technological innovations to maintain global competitiveness. The rest of the director's speech touched on American breakthroughs of the past and undoing Biden-era policies that the Trump Administration claims stifled innovation - adding that the regulatory process on new tech has been a burden since the 1970s. Kratsios actually referenced this again at the end of his speech, saying that Americans will soon have the choice to'craft new technologies and give themselves to scientific discoveries that will bend time and space.'
Scientists say time travel IS possible - and people have already done it
From H. G. Wells's The Time Machine to Christopher Nolan's Interstellar, the possibility of travelling through time has fascinated people for centuries. But, although it sounds like pure science fiction, physicists now believe that time travel really is possible. In fact, scientists say that people have already done it. But, before you start to plan your trip to ancient Rome, the experts caution that real time travel is nothing like what you see in the movies. It might seem obvious, but here on Earth, we all move through time at a speed of one second per second.