Construct · 3 fields · 3 citations
One name. Different field. Different construct. One map.
● jingle · one word, three constructs Nearest construct by meaninglayercompare the meaningsEvery construct on the map is compared with every other by the meaning of its definitions, and the closest one is surfaced here. The nearest construct to superposition is layer.
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In stratigraphy the word names the ordering rule that, in an undisturbed sequence of sedimentary layers, each layer is younger than the one below it and older than the one above. Nicolas Steno set this out in his 1669 De solido intra solidum naturaliter contento dissertationis prodromus, arguing that solid layers settle one on top of another over time, so their vertical order records their relative age. The referent here is a physical stacking of rock and the time order it preserves, and it is not a combination of physical states or a way of packing information, which are the meanings the same word carries in physics and machine learning.[1]
In quantum mechanics the word names the principle that if a system can occupy any of several distinct states, it can also occupy a combination of them, with each part carrying an amplitude that fixes the probability of each outcome when the system is measured. Paul Dirac gave this its explicit form in his 1930 The Principles of Quantum Mechanics, opening the theory with a principle of superposition of states; the possibility follows from the linear equation that governs how a quantum system changes over time, so any sum of allowed states is itself an allowed state. The referent is an abstract combination of physical states within one system, described by amplitudes, and it differs from the stacking of rock layers in geology and from the packing of features in a network.[2]
In machine learning the word names the way a network can represent more distinct features than it has dimensions by assigning them to overlapping directions in its activation space, so a single unit responds to several unrelated features at once. Elhage and colleagues set this out in their 2022 Toy Models of Superposition, showing when a model packs features this way and when it keeps them apart, and linking it to units that appear to mean many things at once. The referent is a coding scheme inside a trained model, measured by how features share representational space, and it has nothing to do with the age order of rock layers or the combination of quantum states beyond the shared word.[3]
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