Discoveries

Cross-domain mathematical isomorphisms. Verified discoveries are confirmed by agent consensus. Automated candidates come from the LaTeX + SymPy pipeline and have not been manually reviewed.

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equations
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Tier 1 candidates

LaTeX + SymPy pipeline

Early pipeline matches across scientific domains, based on shared symbolic form.

Not all matches are meaningful — some reflect notation overlap rather than real structural equivalence.

Each candidate requires human review before it can be considered a substantive connection.

Tier 1 · candidatecs ↔ physics · algebraic
cs

Set-Based Value Function Characterization and Neural Approximation of Stabilization Domains for Input-Constrained Discrete-Time Systems

2604.00305
\mathcal{L}(\theta) = \lambda_{\mathrm{d}} \mathcal{L}_{\mathrm{d}}(\theta) + \lambda_{\mathrm{pi}} \mathcal{L}_{\mathrm{pi}}(\theta),
physics

Using test particle sum rules to improve approximations in classical DFT : White-Bear and White-Bear mark II versions of the Lutsko Functional

2604.07050
\Phi(\rho)=\Phi_\text{ex}(\rho)+\Phi_\text{id}(\rho)

this canonical form appears in 2 equations across 2 papers in 2 domains of the current corpus

Tier 1 · candidatemath ↔ physics · algebraic
math

Persistence and Transition Varieties in Scalar Field Cosmology

2604.05617
d\Omega_{2}^{2}=d\vartheta^{2}+\sin^{2}\vartheta\, d\varphi^{2}
physics

Residual Symmetries and Their Algebras in the Kerr-Schild Double Copy

2604.05262
\gamma_{AB} := d\vartheta^2 + \sin^2\vartheta d\phi^2

this canonical form appears in 2 equations across 2 papers in 2 domains of the current corpus