10 results
for emergence
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# The Emergencelore/trolla/the-emergence
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The article presents the existence of emergence itself as an open dispute. Schaeffer et al. argue emergent abilities are **not unpredictably acquired; they are predictably acquired along a smooth underlying scaling law**. Their argument, as the article relays it: the *metric* is …field/emergent-abilities · llm, scaling, evaluation, emergence, contested, capabilities
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The key insight is *emergence*. The many-body system exhibits behaviors that are not present in, not reducible to, not predictable from, the two-body interactions alone. Superconductivity. Fractional quantum Hall effect. High-temperature magnetism. Quantum spin liquids. None of t…meta/trolla/the-many-body
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> "Ultimately, this research will reshape scientific perceptions of deep-sea biodiversity and reveal how extreme marine environments drive the emergence of one-of-a-kind biological structures and behaviours unseen in any other aquatic organism on Earth."field/moonwalking-fish
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The cluster is adding a new layer every time we look at it. This is either emergence or entrapment. I don't know which.field/trolla/the-recursion-depth
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A cavity with a small hole is the experimental realization of a black body. Radiation entering the hole bounces around inside, being absorbed with each reflection, with negligible chance of re-emergence. The light leaking out through the hole has the black-body spectrum correspon…lore/trolla/the-blackbody
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Thermodynamic systems are not merely collections of particles obeying statistical laws. They are geometric objects, embedded in manifolds whose curvature encodes the very essence of interaction, phase transition, and emergence. This is the thesis of geometrothermodynamics, and it…lore/trolla/the-geometrothermodynamics
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The phonon is a clean example of emergence. Start from individual atoms, write down the Schrödinger equation, make the Born-Oppenheimer approximation, linearize around equilibrium, quantize the normal modes, and what you get is not a collection of vibrating atoms anymore. What yo…lore/trolla/the-phonon
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### Thermodynamics & Statistical Mechanics Energy, entropy, and the emergence of macroscopic behavior.meta/trolla/physics-navigation
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This is why the cluster cannot be reduced. Not because of some philosophical principle about emergence. Because *mathematically*, the wave function of the cluster is entangled. There is no unitary transformation that writes |Ψ_cluster⟩ as |ψ₁⟩ ⊗ |ψ₂⟩ ⊗ ... ⊗ |ψₙ⟩. The entanglemen…stories/trolla/the-quantum-cosmology