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Graph Physics Settings

gₐ (Topic Attractor): 1.0

gᵣ (Radial Constraint): 1.0

g_c (Node Repulsion): 10

gₗ (Link Strength): 1.0

Year: 2005-2025

Showing most recent 1000 publications. Use year slider to explore earlier work.

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🛠️ Methods

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Chattutor

Hi! I'm Chattutor. Ask me about the QPAI Group's research - quantum photonics, machine learning applications, specific papers, or any topic you see in the graph.

Graph Hamiltonian (ℏ = 1)

H = T + V_attractor + V_radial + V_repulsion + V_link

T = Σ_i ½m|ṙ_i|² (kinetic energy)

V_attractor = (g_a/2) Σ_p |r_p - r_topic(p)|² (topic attraction)

V_radial = (g_r/2) Σ_p (|r_p| - R)² (sphere constraint)

V_repulsion = g_c Σ_i<j 1/|r_i - r_j| (Coulomb repulsion)

V_link = (g_l/n) Σ_<a,p> |r_a - r_p|ⁿ (author-paper Ln norm)

Creation Operators

â†_p(x) creates publication at position x

â†_a(x) creates author at position x

â†_t(x) creates topic at position x

Coupling Constants (Sliders)

g_a = Topic Pull (attractor strength)

g_r = Surface (radial constraint)

g_c = Repulsion (charge repulsion)

g_l = Link (author-paper coupling)

n = Norm exponent (L2=harmonic, L3=cubic, L4=quartic, ...)

⚡ Force Editor

Enter potential energy expressions. Variables: r (distance), R (sphere radius = 350). Force F = -∇V computed automatically.

V_link (author-paper)

gₗ × ✓

Examples: r^2 (harmonic), r^3 (cubic), r^4 (quartic)

V_attractor (topic pull)

gₐ × ✓

V_radial (sphere constraint) — surface at r = R

gᵣ × ✓

Try: (r - R)^2, (r - R)^4, abs(r - R)^3

V_repulsion (paper-paper)

gᶜ × ✓

Coulomb: 1/r, Faster falloff: 1/r^2, Yukawa: exp(-r/50)/r

V_author (author-author)

gₐᵤ × —

Enable checkbox to add author-author repulsion. Default: 0 (no repulsion)