Empirical Laws of AI
Scaling Laws for Neural Language Models
How model size, data, and compute collapsed onto a small set of power laws—and reorganized the logic of training language models.
Open full explainerContext Jamming / Explainers
Famous papers from AI and physics, rebuilt as interactive research instruments. Manipulate a core diagram from each paper, then open the full explainer for the argument, equations, and source notes.
Empirical Laws of AI
How model size, data, and compute collapsed onto a small set of power laws—and reorganized the logic of training language models.
Open full explainerEuclidean Gravity
Why de Sitter’s state count rotates through i—and why the observer must enter the calculation before we decide what is being counted.
Open full explainerKinematic Space
How a tensor network became a map of every possible way to probe a universe.
Open full explainerConstitutional Classifiers++
How Anthropic made a stronger jailbreak defense approximately 40× cheaper by moving classification into the generation stream.
Open full explainerSynthesis layer
Select two to four papers. The matrix distinguishes structural affinity from documented influence, revealing shared mechanisms, conceptual bridges, and the points where the comparison breaks down.
Method note. Affinity scores are editorial synthesis aids, not statistical measurements. Direct influence is shown only when supported by a citation or explicit source evidence.
| Paper | Kinematic Space2015 | Scaling Laws2020 | Real Observers2024 / 2025 | Classifiers++2026 |
|---|---|---|---|---|
| Kinematic Space2015 | Self Recast the network as a geometry of probes, not bulk space. | |||
| Scaling Laws2020 | Self Compress training behavior into empirical power laws. | |||
| Real Observers2024 / 2025 | Self Insert the observer before interpreting the state count. | |||
| Classifiers++2026 | Self Move full-context judgment into an adaptive compute cascade. |
Scaling Laws × Classifiers++
The scaling paper turns compute into a measurable allocation problem; Constitutional Classifiers++ applies a related economy locally, escalating only suspicious exchanges to more expensive judgment.
Both treat performance as an optimization problem under a finite compute budget and seek the allocation that avoids paying the highest cost everywhere.
Documented influence
Documented influence is narrow but explicit: Constitutional Classifiers++ cites Kaplan et al. (2020) in §5.1 for the approximation used to estimate transformer FLOPs. Jared Kaplan is also an author on both papers. This does not establish that scaling laws caused the classifier cascade design.
Scaling laws describe aggregate training behavior; the classifier system makes per-exchange, runtime routing decisions.
A classifier threshold is not a scaling exponent, and a cascade's routing policy is not a global training law.
Documented, limited direction: Constitutional Classifiers++ uses the scaling-law paper's compute approximation in §5.1 while estimating the marginal cost of linear probes.
Retrospective comparison only: the 2026 classifier system cannot have historically influenced the 2020 scaling paper; it is a later engineering example of selective compute allocation.
Selected-set synthesis
86 / 100 affinity
77.0 average affinity
Most recurrent curated tags in the selected pair records
Dates order the comparison; they do not establish influence.
Generated deterministically from the selected set’s curated tags.
Open method
Download the reusable Context Jamming skill that converts an arXiv paper into a complete, copy-paste Codex implementation prompt. It extracts the paper’s central thesis, maps claims to source sections, selects defensible interactive diagrams, and preserves the distinction between established results, author interpretation, and cross-domain analogy.
Built from the same editorial and technical grammar used for the Kinematic Space, Scaling Laws, Real Observers, and Constitutional Classifiers++ explainers.
Maps claims, equations, figures, and interactions back to the paper.
Finds the conceptual reversal instead of reproducing the paper section by section.
Specifies deterministic diagrams that teach mechanisms rather than decorate the page.
Separates results, author interpretation, and Context Jamming extensions.
How to invoke it
Use the attached arXiv paper and the arxiv-to-contextjamming-explainer skill to generate a complete Codex prompt for a Context Jamming interactive explainer modeled on /kinematic.Download the skill folder and make SKILL.md available to your Codex or agent workflow.
Provide an arXiv PDF, manuscript, paper URL, or sufficiently complete research notes.
Run the skill, review the generated implementation prompt, and paste it into Codex with the Context Jamming repository available.
The skill produces the implementation prompt. It does not replace scientific source review or automatically prove cross-domain analogies.