graph Hamiltonian

Hamiltonian constructed from adjacency matrix and coupling strengths on a graph

Neighborhood — ranked by edge-count

concept

Local Hamiltonian
extends
Sum of windowed Hamiltonians with same window length; a key construct introduced in the paper to model local interactions on graphs

cosine ≥ 0.65 · no typed edge

Entities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.

Graph Geometryconcept0.803
A more complex geometric structure used to characterize in-context learning task representations
Windowed Hamiltonianframework0.793
Core technical concept: a Hamiltonian where spin-spin interactions are defined only within finite windows ω, enabling generic analysis across diverse lattices
topology of the graphconcept0.746
Graph structure constraining local interactions and ordering
Causal graph formalism (Wolfram physics style)framework0.744
Janus proposes transformer computation viewed as causal graph with foliations/time-slices specifying computation order.
Newtonian Mechanics (Classical Physics)framework0.728
Pre-quantum physics based on point masses and deterministic laws, which cannot explain the stability of chemical bonds necessary for life.
Spectral Graph Theorymethod0.724
Technique using principal eigenvectors to identify densest clusters; applied to find principal Markov blanket in simulations.
Quantum Diagrammaticsframework0.724
Diagrammatic approach to quantum theory using visual process representations.
Quantum Mechanicsconcept0.720
Theoretical framework Schrödinger argues is essential for explaining chemical stability of genes and hereditary substance against thermal perturbation.