“Humans will eventually discover that reality responds more to alignment than to force—and that we’ve been trying to push doors that only open when we stand right, not when we shove harder.”

“Every act of language generation compresses a rich internal state into a single token sequence.”

“The article references C.S. Lewis's 'The Abolition of Man' and the concept of 'men without chests' as a key element of the predicted future. It also mentions the AI's potential morality being tied to the concept of entropy.”

“The conditional entropy or code length in many cases continues to decrease with context length at least to $N\sim 10^4$ characters, implying that there are direct dependencies or interactions across these distances.”

“The paper proves a fully nonlinear, saturable lower bound valid for arbitrary current vectors Δq: D_bath ≥ B(Δq,V,V'), where the bound depends only on the transported-charge signal Δq and the pre/post collision covariance matrices V and V'.”

“MSACL achieves exponential stability and rapid convergence under simple rewards, while exhibiting significant robustness to uncertainties and generalization to unseen trajectories.”

“The paper derives an exact identity for overdamped Langevin dynamics that equates the total EP rate to the mutual-information rate.”

“The entanglement entropy naturally emerges from the normalization condition of the Husimi distribution within this framework.”

“The paper finds that the entanglement entropy of Hawking radiation before the Page time increases with time, with the slope determined by the central charge. After the Page time, the unitarity of black hole evaporation is restored, and the entanglement entropy includes a logarithmic correction related to the central charge.”

“The paper proves a new BD entropy inequality for a class of non-isentropic compressible fluids and shows the "viscous shallow water system with transport entropy" will admit global classical solutions for arbitrary large initial data to the spherically symmetric initial-boundary value problem in both two and three dimensions.”

“For any objective with log-sum-exp structure over distances or energies, the gradient with respect to each distance is exactly the negative posterior responsibility of the corresponding component: $\partial L / \partial d_j = -r_j$.”

“By directly extracting multiple bits from the digitized output of the entropy source, we achieve a single-channel random bit generation rate of 1.536 Tb/s, while four-channel parallelization reaches 6.144 Tb/s with no observable interchannel correlation.”

“The algorithm's runtime scaling is O(N4^N), a significant improvement over the brute-force approach.”

“Temperature, chemical potential, and pressure arise as conjugate variables of a single information-theoretic functional.”

“The spectral evolution shows a transition from thermal (single BB) to hybrid (PL+BB), and finally to non-thermal (Band and CPL) emissions.”

“The paper introduces a symmetry-aware lower bound on the von Neumann entropy built from charge-resolved second Rényi entropies and the subsystem charge distribution, providing a practical diagnostic for anomalous entanglement scaling.”

“The paper proves that the 'chordality condition' is also sufficient.”

“Wigner-Ville-based detection measures can be seen to provide significant sensitivity advantage, for some shown contexts greater than 15~dB advantage, over energy-based measures and without extensive training routines.”

“Cube particles form a simple square assembly, overcoming lattice/topology incompatibility, and maximize entropy by distributing eight three-fold defects evenly on the sphere.”

“The paper states: "This represents the first time that itinerant many-body systems have been prepared from rearranged atoms, opening the door to bottom-up assembly of a wide range of neutral-atom and molecular systems."”

“The paper demonstrates device-relevant ultrabroadband near-infrared (NIR) photonics by integrating element-specific roles within an entropy-stabilized lattice.”

“Skin-like dynamics exhibit periodic information shuttling with finite, oscillatory EE, while edge-like dynamics lead to complete EE suppression.”

“The paper presents a class of QSLs formulated in terms of the two-parameter Sharma-Mittal entropy (SME), applicable to finite-dimensional systems evolving under general nonunitary dynamics.”

“HyperGRL delivers superior representation quality and generalization across diverse graph structures, achieving average improvements of 1.49%, 0.86%, and 0.74% over the strongest existing methods, respectively.”

“The proposed method demonstrates superiority over baseline schemes in terms of average sum rate, robustness to CSI imperfection, user mobility, and scalability.”

“The proposed method outperforms zero forcing (ZF) and maximum ratio transmission (MRT) techniques, particularly in high-interference scenarios, while remaining robust to CSI imperfections.”

“The paper proposes a variant of the SAC algorithm that parameterizes the policy with flow-based models, leveraging their rich expressiveness.”

“TV-RAG realizes a dual-level reasoning routine that can be grafted onto any LVLM without re-training or fine-tuning.”

“The entanglement entropy grows logarithmically with effective central charge c=5.2. We find evidence for thermalization at infinite temperature.”

“EntroDrop selectively masks low-entropy tokens during training and employs a curriculum schedule to adjust regularization strength in alignment with training progress.”

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“The corner entanglement entropy grows linearly with the logarithm of imaginary time, dictated solely by the universality class of the quantum critical point.”

“Thermodynamics becomes the study of how these shells deform with energy: the entropy is the logarithm of a geometric area, and its derivatives satisfy a deterministic hierarchy of entropy flow equations driven by microcanonical averages of curvature invariants.”

“EASD incorporates a dynamic entropy-based penalty. When both models exhibit high entropy with substantial overlap among their top-N predictions, the corresponding token is rejected and re-sampled by the target LLM.”

“The transition from disordered fluorite to ordered bixbyite is driven primarily by compositional and vacancy-ordering effects, rather than through changes in cation valence.”

“The paper shows that partonic entropy increases monotonically with the evolution scale.”

“A significant increase in $S_{EM}$ precedes major phase transitions, observed before biomolecular condensate formation and El Niño events.”

“The Clifford entropy vanishes if and only if a unitary is Clifford.”

“The UISVD yields stable, physically meaningful entropic spectra that are invariant under rescalings and normalisations.”

“Contrary to the intuition that higher distribution entropy facilitates effective exploration, we find that imposing a precision-oriented prior yields a superior exploration space for RL.”

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“The substituted compound Gd$_{0.9}$Ce$_{0.1}$CrO$_3$ (GCCO) exhibits a remarkably large magnetic entropy change, $Δ$ S $\sim$ 45-40 J/kg-K for $Δ$ H = 90-70 kOe at 3 K among the highest reported for rare-earth orthochromites.”

“It exposes the exact moment a network switches from memorization to generalization ("grokking") by monitoring the geometric arrangement of embeddings in real-time.”

“WeDLM preserves the quality of strong AR backbones while delivering substantial speedups, approaching 3x on challenging reasoning benchmarks and up to 10x in low-entropy generation regimes; critically, our comparisons are against AR baselines served by vLLM under matched deployment settings, demonstrating that diffusion-style decoding can outperform an optimized AR engine in practice.”

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“The core result is an 'advantage-based routing law' for attention scores and a 'responsibility-weighted update' for values, which together induce a positive feedback loop.”

“Modern language models preserve the geometric substrate that enables Bayesian inference in wind tunnels, and organize their approximate Bayesian updates along this substrate.”

“MEGA-PCC achieves superior rate-distortion performance and runtime efficiency compared to both traditional and learning-based baselines.”

“Landauer's principle yields an operational lower bound on the dissipated heat rate set by the Shannon entropy rate of the measurement record.”

“The article's focus is on utilizing high-pT physics and data to constrain η/s.”