Backlog Grooming of Derivations

List below is from "derivations backlog" column on project tracker

None of the current derivations bridge two domains.

survey of bridges

which derivations are relevant for spanning Physics?
Has a graphviz of the assumptions used in different domains

list of bridge derivations for Physics
Has a long list of domains; LLM is then asked to suggest bridges

concept map of topics in graphviz for use with LLM
BHP creates a graphviz concept map, then uses LLM to extend the content

bridges across two domains

SHO derivation is great.
This is probably the first derivation a physicist would look for from PDG. And then

Quantum Harmonic Oscillator and classical SHO are related by the Correspondence Principle

atoms and quarks

Special and General Relativity

derivations that span flat and curved spacetime in relativity
LLM provides a couple suggestions that could be opened as subtasks for specific derivations

classical and relativity

Newtonian Gravity from the Geodesic Equation

Newtonian space and time to Relativity's spacetime

quantum mech and statistical mech

Quantum mechanics and classical statistical mechanics
An open access PDF, 12 pages

classical to quantum

classical particles and quantum superposition
BHP assessment 2026-03-08: LLM discusses classical particles and quantum concepts but provides no specific insight

macroscopic from atomic

atomic interaction to nuclear radiation

latent heat from atomic scale interactions

atoms to solid state material properties

atoms to solid state material properties
key question: Is there a derivation that bridges the physics of atoms with the material properties observed at macroscopic scales?
Results in

quantum mech to QFT

quantum mechanics to quantum field theory

stat mech and QFT

statistical mechanics and quantum field theory

bridges within a domain

thermodynamics

derivations that span irreversible and reversible processes in Thermodynamics
LLM provides a couple suggestions that could be opened as subtasks for specific derivations

quantum mechanics

Lindbladian as generalization of Schrödinger equation

classical mechanics

Newton's Second Law for the Center of Mass to torque and moment of inertia for rotational motion
relates linear motion to rotational motion

Not a bridge

Named expressions

E=mc^2

uncertainty relation in quantum mechanics

Feynman's Schrodinger Equation

Euler-Lagrange equation
from wikipedia.
TODO: migrate wiki content to Latex

Schwarzschild solution
from wikipedia. TODO: migrate wiki content to Latex
"Schwarzschild solution to Einstein field equations TODO: are 34 and 72 the same?

Black-Scholes equation

Godels incompleteness theorems

Boyle's law, simple; rewrite of chem.libretexts.org

Boyle's law, advanced; rewrite of chem.libretexts.org

rocket equation

Bohr's Model for the Hydrogen Spectrum

drag equation

Noether's Theorem

Stirling's approximation for factorials

Kepler's Law
Has a Lean proof from ATOMSlab

Maxwell's equations
How is that different from 0000000004?

Navier-Stokes equations from wikipedia. TODO: migrate wiki content to Latex

Hartley function
from wikipedia.
TODO: migrate wiki content to Latex

Darcy weisbach

Kozny-Carman

Molecular dynamics

Arrhenius equation

Half-Life Formula for Zero-Order Reactions
This involves chemistry notation

SUVAT

De Moivre's Formula
proof by induction

Unnamed expressions

Euler by MacLaurin
infinite series

Chemical kinetics of a reversible reaction

maximum speed for asteroid orbiting the sun to impact earth

thermal properties

thermodynamics: internal energy

waveguides

half life decay derivation for radioactivity

volume of an n-ball

quantum equations

conjugate gradient method
from wikipedia.
TODO: migrate wiki content to Latex