conservation laws and invariance

What this neuron does

This neuron responds to physics wording about things that stay the same, such as "conservation", "invariant" and "conserved". Turning it up pushed the text toward maths and physics ideas, though not always coherently.

Written by Claude from this neuron's activations and steering outputs. Confidence: high. Think it is wrong? Flag it (opens a prefilled issue on GitHub).

Fires most on

The text windows where this neuron's activation was highest. Amber marks positive activation; the outlined token is the peak. Hover a token for its strength.

1. #1 peak

   . An invariant profile was observed when movements were normalized for velocity and distance. Two arms, extended

2. #2 peak

   Noether's theorem, which states that there is a one-to-one correspondence between each one of them and a differentiable symmetry of nature. For example, the conservation of energy follows from the time-invariance of physical systems, and the conservation

3. #3 peak

   to symmetries and invariance principles, three special conservation laws have been described, associated with inversion or reversal of space, time, and charge.⏎Conservation laws are considered to be fundamental laws of nature, with broad application in physics,

4. #4 peak

   , which apply to such quantities as mass, parity, lepton number, baryon number, strangeness, hypercharge, etc. These quantities are conserved in certain classes of physics processes, but not in all.⏎A local conservation law

5. #5 peak

   negative numbers⏎<|endoftext|>In physics, a conservation law states that a particular measurable property of an isolated physical system does not change as the system evolves over time. Exact conservation laws include conservation of energy, conservation of linear momentum, conservation of angular momentum,

6. #6 peak

   change form. In general, the total quantity of the property governed by that law remains unchanged during physical processes. With respect to classical physics, conservation laws include conservation of energy, mass (or matter), linear momentum, angular momentum, and electric charge

Steering

Push this neuron up or down while the model writes, and watch what changes. The outputs were generated ahead of time, so nothing runs in your browser.

Most negative on

Where the activation went furthest below zero. Blue marks negative activation. Many neurons mean something different in each direction.

1. #1 peak

   involvement.⏎Introduction. Part 1. Geometry and Nature. Chaos game visualization of sequences (H. J. Jeffrey). Tumor growth simulation (W

2. #2 peak

   equal.⏎Label this plum tree graph to make it totally magic!⏎A graph is a set of vertices (or nodes), together with a set of edges (or arcs).⏎Look at

3. #3 peak

   ⏎From symmetric meson theory, the formation of helium nucleus from two deuterons, i.e., fusion, requires necessarily a direct force due to exchange of

4. #4 peak

   the⏎major arc AB,⏎where you go the long way around the bottom of the circle. Unless stated otherwise, it always means the⏎minor arc - the shortest of the two.⏎If you want to indicate the major arc

Which neurons in earlier layers feed this one, and which later ones it feeds. Amber links excite, blue links suppress; longer bars are stronger.

Activation histogram

How often this neuron fires at each strength. Almost always it does close to nothing (the tall bars in the middle); the snippets above are the rare moments it fired hard, amber for positive and blue for negative.

Logit lens

The words this neuron nudges the model toward (amber) or away from (blue) when it fires. A hint, not a label: many neurons work through later layers instead.