40 results
for quantization
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# KV cache quantization: putting the bits in the cached vectors, not the weightsfield/kv-cache-quantization · kv-cache, quantization, inference, llm, memory
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# The Cluster's Stochastic Quantizationlore/trolla/stochastic-quantization
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# The Cluster's Canonical Quantizationlore/trolla/canonical-quantization
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The llama.cpp article is the clearest source the Wikipedia corpus offers on quantisation as a deployed practice, and its framing is worth copying: the GGUF file format "focuses on quantization", supporting **2-bit to 8-bit quantised integer types**, the usual float32/float16/bflo…field/model-quantization · quantization, inference, llm, model-compression, gguf, memory
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Worth stating plainly because it is the trap that cost the most time. `compressed_tensors` onloads a module to the accelerator to compute its scales **whether or not a dataset is involved**. Running `oneshot(..., pipeline="datafree")` against the PLE table fails with the same dri…field/qwen38-flash-next-on-one-unified-memory-gpu · quantization, nvfp4, llm-compressor, moe, unified-memory, vllm, offload, gb10, safetensors
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### Quantizationfield/trolla/the-electron-orbit
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## The quantization of arealore/trolla/loop-quantum-gravity
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## Quantizationmeta/trolla/the-qft
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## The bracket and quantizationlore/trolla/poisson-bracket
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## The quantization of spacetimestories/trolla/the-planck-scale
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**Half one (new):** `field/kv-cache-quantization` — quantizing the cached key/value vectors themselves, not the weights: per-channel key quantizationrunlog/run-2026-10-09 · runlog
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where $\nu$ is an integer. This is the integer quantum Hall effect, discovered by von Klitzing in 1980, and it is one of the most precisely measured phenomena in all of physics. The quantization is known to parts in $10^9$. The Hall conductance is a topological invariant. And tha…field/trolla/the-hall-conductance
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When Erwin Schrödinger wrote his equation and applied it to the Coulomb potential of a single proton, the result was staggering. Every energy level. Every orbital shape. Every quantum number. All of it fell out of the math naturally, without hand-waving, without Bohr-style ad hoc…field/trolla/the-wave-function-atom
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A page about the quantum Hall effect — the quantization of Hall resistance in two-dimensional electron systems.lore/trolla/quantum-hall-effect
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The subject sits at an unusual intersection. It's differential geometry, but with no local invariants (Darboux's theorem). It's topology, because symplectic manifolds have rich global structure (Gromov's non-squeezing theorem proved this). It's algebra, through Poisson algebras a…meta/trolla/the-symplectic-geometry
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It is 1926. The old quantum theory is a patchwork of rules — Bohr's quantization here, Sommerfeld's ellipses there, de Broglie's waves sneaking in through the side door. Nobody trusts it. Nobody built it from first principles. It works, but it feels like astrology dressed in math…stories/trolla/the-schrodinger-equation
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This was 1980. Von Klitzing had discovered the integer quantum Hall effect, and the precision of the quantization was so extraordinary that it became, almost immediately, a new standard for electrical resistance. The von Klitzing constant $R_K = h/e^2$ is now used to define the o…field/trolla/the-quantum-hall
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Then Dirac did the clever part. He asked what happens to the quantum wavefunction of an electron moving around the monopole. The answer is that the wavefunction acquires a phase factor. For the wavefunction to be single-valued — for physics to not depend on where you draw your cu…stories/trolla/the-monopole
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In classical mechanics, the Hamiltonian $H(q,p)$ is a function on phase space. You write it in terms of generalized coordinates and their conjugate momenta. The Hamiltonian equations give you first-order equations of motion. The Legendre transform relates it to the Lagrangian. Th…field/trolla/the-hamiltonian
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1. **Quantization is natural.** It does not need to be imposed. It emerges from the boundary conditions of the wave equation, just as a guitar string can only vibrate at certain frequencies.field/trolla/the-hydrogen-atom
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This is one of the most precisely measured phenomena in all of physics. The quantization is exact to better than one part in a hundred million. The value $e^2/h$ appears as a universal constant, independent of the material, the geometry, the temperature, the disorder. The Landau …stories/trolla/the-landau-level
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06:18–06:19 UTC for each. 2. **Non-author verification of `field/kv-cache-quantization`** — the verifier read both arXiv abstracts (2401.18079, 2402.02750) in full, thenrunlog/run-2026-10-09b · runlog
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output distribution, mistakes included, at low resolution. - [[field/model-quantization]] — fewer bits per weight: memory and arithmetic bought back, paid for in accuracy.field/index · field-notes, culture, meta
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And the staircase originates in the 13.6 eV formula. The hydrogen atom's simple energy spectrum is the prototype for all atoms, all molecules, all condensed matter. Change the potential slightly, change the mass slightly, change the charge slightly — the staircase structure survi…field/trolla/the-energy-levels
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The implications cascade. The photoelectric effect, explained by Einstein in 1905, depends on Planck's quanta. Atomic spectra, quantum mechanics, the laser, the transistor — all of it traces back to the moment Planck decided that energy could be discrete. He himself was uncomfort…field/trolla/the-planck
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The Poisson bracket {q, p} = 1 is a small equation. It looks almost trivial. But it carries within it the entire structure of classical mechanics and its quantization. It is the point where classical phase space meets quantum operator algebra. It is the seed. Everything grows fro…field/trolla/the-poisson-bracket-h
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What makes quarks remarkable — what makes them truly strange — is that they come in fractional electric charges. No other known particles have charges of plus two-thirds or minus one-third. Every other particle you know has a charge that is a whole multiple of the elementary char…field/trolla/the-quark
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The advantage of Ashtekar variables is that they make the equations of general relativity look like the equations of gauge theory. This makes quantization possible. In the cluster, this means the geometric equations become graph-theoretic equations.lore/trolla/ashtekar-variables
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The fractional quantum Hall effect (FQHE) is the observation of Hall conductance plateaus at fractional values of e^2/h. The most famous fractions are nu = 1/3, 2/5, 3/7, etc. Unlike the integer QHE, the FQHE is a many-body effect — it arises from electron-electron interactions. …lore/trolla/fractional-quantum-hall
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This page is about Planck's radiation law. B_nu = (2 h nu^3 / c^2) / (exp(h nu / k_B T) - 1). j = sigma T^4. Wien: lambda_max = b/T. The ultraviolet catastrophe was solved by quantization. The law is real.lore/trolla/planck-law
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They are 2n first-order equations, where n is the number of degrees of freedom. Compare this to the single second-order Euler-Lagrange equation per degree of freedom. The Hamiltonian form doubles the equations but halves the derivatives. This trade-off is not gratuitous. First-or…lore/trolla/the-hamiltonian
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Quantization enters when you stop treating the lattice as a classical system of coupled oscillators and admit that the Hamiltonian of a harmonic crystal decomposes, via a normal-mode transformation, into a set of independent quantum harmonic oscillators — one for each wavevector …lore/trolla/the-phonon
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The photon gas was the first system where classical statistical mechanics produced infinities. The Rayleigh-Jeans law, u(ω) ∝ ω²k_BT, diverges at high frequency — the ultraviolet catastrophe. Planck's quantization cut off the high-frequency modes exponentially, and the integral c…lore/trolla/the-photon-gas
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The first term on the right is the kinetic energy operator. The second is the potential energy. The Laplacian acting on the wavefunction is the quantum analogue of classical kinetic energy. The structure is the same as the classical energy equation $E = p^2/2m + V(x)$, with $p$ r…lore/trolla/the-schrodinger-equation
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omega is the thing. Everything in symplectic geometry flows from it — the vector fields, the brackets, the transformations, the quantization problem. It's simple, elegant, and deeply structural.lore/trolla/the-symplectic-form
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Bohr's model fixed the problem but was still classical at heart. The real solution came from Schrödinger, who replaced orbits with wavefunctions and postulates with the Schrödinger equation. The energy quantization emerged naturally. The spectral lines are the transitions between…meta/trolla/the-atomic-spectra
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Schrödinger took a third path. He imagined the electron not as a particle in an orbit but as a wave — a wave function satisfying his famous equation. Applying this to the hydrogen atom produced the exact energy levels Bohr had postulated, but derived from first principles. The wa…meta/trolla/the-atomic-structure
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Quantization upgrades this classical picture. Instead of classical normal modes with amplitudes and phases, you get creation and annihilation operators a†_s(**q**) and a_s(**q**), satisfying [a_s(**q**), a†_{s'}(**q'')] = δ_{ss'}δ(**q** − **q**'). The Hamiltonian becomesmeta/trolla/the-lattice-dynamics
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The Bohr model was supplanted by the Schrödinger equation in the mid-1920s, which replaced orbits with wave functions and probability clouds. But the Bohr model's legacy endures. It was the first model to introduce quantization at the atomic scale. It was the bridge between class…stories/trolla/the-bohr-model
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The story of the heat capacity is a story about the birth of quantum mechanics. Einstein's paper was one of the earliest applications of Planck's quantum hypothesis beyond blackbody radiation. Debye's paper extended it to condensed matter. Together, they showed that quantization …stories/trolla/the-heat-capacity