concept map of topics in graphviz for use with LLM

[bhpayne]

The backend database representation (whether as JSON or Neo4j) relies on numeric node IDs to link text, equations, and parameters. As a result, loading the content into an LLM creates cognitive load and confusion when tracking numeric ides.

A simpler representation would be graphviz (with no numeric IDs)

[bhpayne]

Here's a manually-created graphviz of equations and topics. No derivations present, just topical relations.

digraph G {

rankdir="LR";
splines=false;

subgraph cluster_variables_and_constants{
"F: force [Newton]" [shape="hexagon"];
"S: entropy" [shape="hexagon"];
"Q: energy [Joule]" [shape="hexagon"];
"U: internal energy" [shape="hexagon"];
"W: work" [shape="hexagon"];
"W: number of microstates" [shape="hexagon"];
"T: temperature [Kelvin]" [shape="hexagon"];
"m: mass [kilogram]" [shape="hexagon"];
"a: acceleration [meter/(second^2)]" [shape="hexagon"];
"p: momentum" [shape="hexagon"];
"t: time" [shape="hexagon"];
"C: specific heat capacity" [shape="hexagon"];
"k: boltzmann constant" [shape="hexagon"];
"sigma_x: standard deviation of position" [shape="hexagon"];
"sigma_p: standard deviation of momentum" [shape="hexagon"];
"hbar: reduced Planck constant" [shape="hexagon"];
"hat{x}: position operator" [shape="hexagon"];
"hat{p}: momentum operator" [shape="hexagon"];
"i: square root of negative 1" [shape="hexagon"];
}

subgraph cluster_expressions{
"Heisenberg Uncertainty principle\nsigma_x sigma_p >= hbar/2" [shape=rectangle];    
"Heisenberg Uncertainty principle\n[hat{x},hat{p}]=i hbar" [shape=rectangle];
"F = m a" [shape=rectangle];
"F = dp/dt" [shape=rectangle];
"C = Q/(delta T)" [shape=rectangle];
"Boltzmann's equation\nS=k ln W" [shape=rectangle];
"U=Q-W" [shape=rectangle];
"Schrödinger equation, time dependent\ni hbar frac{d}{d t} vert Psi(t)rangle = hat{H}vert Psi(t) rangle" [shape=rectangle];
}

"classical mechanics (v<<c)" -> "quantum mechanics" [label="is an approximation of"];

"special relativity\nc is constant" -> "classical mechanics (v<<c)" [label="is a generalization of"];

"special relativity\nc is constant" -> "general theory of relativity\ncurvature of spacetime" [label="is a special case of"];

"quantum mechanics" -> "Heisenberg Uncertainty principle\nsigma_x sigma_p >= hbar/2" [label="is comprised of"];

"quantum mechanics" -> "Heisenberg Uncertainty principle\n[hat{x},hat{p}]=i hbar" [label="is comprised of"];
"Heisenberg Uncertainty principle\nsigma_x sigma_p >= hbar/2" -> "Heisenberg Uncertainty principle\n[hat{x},hat{p}]=i hbar" [label="is equivalent to"];


"quantum mechanics" -> "Schrödinger equation, time dependent\ni hbar frac{d}{d t} vert Psi(t)rangle = hat{H}vert Psi(t) rangle" [label="is comprised of"];

"classical mechanics (v<<c)" -> "Newton's Laws of Motion" [label="is comprised of"];
"Newton's Laws of Motion" -> "F = m a" [label="is comprised of"];
"Newton's Laws of Motion" -> "F = dp/dt" [label="is comprised of"];

"classical thermodynamics" -> "First Law of Thermodynamics\nconservation of energy" [label="is comprised of"];

"statistical thermodynamics"

"First Law of Thermodynamics\nconservation of energy" -> "U=Q-W" [label="is comprised of"];

"classical mechanics (v<<c)" -> "conservation of mass" [label="is comprised of"];

"classical thermodynamics" -> "Boltzmann's equation\nS=k ln W" [label="is comprised of"];

"classical thermodynamics" -> "C = Q/(delta T)" [label="is comprised of"];


"F = m a" -> "F: force [Newton]"
"F = m a" -> "m: mass [kilogram]"
"F = m a" -> "a: acceleration [meter/(second^2)]"

"F = dp/dt" -> "F: force [Newton]"
"F = dp/dt" -> "p: momentum"
"F = dp/dt" -> "t: time"

"U=Q-W" -> "U: internal energy"
"U=Q-W" -> "Q: energy [Joule]"
"U=Q-W" -> "W: work"

"C = Q/(delta T)" -> "C: specific heat capacity"
"C = Q/(delta T)" -> "Q: energy [Joule]"
"C = Q/(delta T)" -> "T: temperature [Kelvin]"

"Boltzmann's equation\nS=k ln W" -> "S: entropy"
"Boltzmann's equation\nS=k ln W" -> "k: boltzmann constant"
"Boltzmann's equation\nS=k ln W" -> "W: number of microstates"

"Heisenberg Uncertainty principle\nsigma_x sigma_p >= hbar/2" -> "sigma_x: standard deviation of position"
"Heisenberg Uncertainty principle\nsigma_x sigma_p >= hbar/2" -> "sigma_p: standard deviation of momentum"
"Heisenberg Uncertainty principle\nsigma_x sigma_p >= hbar/2" -> "hbar: reduced Planck constant"

"Heisenberg Uncertainty principle\n[hat{x},hat{p}]=i hbar" -> "hbar: reduced Planck constant"
"Heisenberg Uncertainty principle\n[hat{x},hat{p}]=i hbar" -> "hat{x}: position operator"
"Heisenberg Uncertainty principle\n[hat{x},hat{p}]=i hbar" -> "hat{p}: momentum operator"
"Heisenberg Uncertainty principle\n[hat{x},hat{p}]=i hbar" -> "i: square root of negative 1"

}

[bhpayne]

The graphviz syntax is validated using https://dreampuf.github.io/GraphvizOnline/

I used the prompt

The following is a graphviz of topics, equations, and symbols in Physics. 
Is there anything wrong with the following graph?

with Gemini 2.5 https://aistudio.google.com/ to identify some unintentional mistakes

[bhpayne]

Prompt:

The following is a graphviz of topics, equations, and symbols in Physics. The graphviz is valid in that it compiles without error.
What additions could be made to this graph to cover more Physics topics and equations?

Result, after some minor fixes:

digraph G {

rankdir="LR";
splines=false;

subgraph cluster_variables_and_constants{

"gamma: Lorentz factor" [shape="hexagon"];
"r: distance between centers" [shape="hexagon"];
"lambda: wavelength" [shape="hexagon"];
"v_wave: wave speed" [shape="hexagon"];
"f: frequency" [shape="hexagon"];
"F: force [Newton]" [shape="hexagon"];
"S: entropy" [shape="hexagon"];
"Q: energy [Joule]" [shape="hexagon"];
"U: internal energy" [shape="hexagon"];
"W: work" [shape="hexagon"];
"W: number of microstates" [shape="hexagon"];
"T: temperature [Kelvin]" [shape="hexagon"];
"m: mass [kilogram]" [shape="hexagon"];
"a: acceleration [meter/(second^2)]" [shape="hexagon"];
"p: momentum" [shape="hexagon"];
"t: time" [shape="hexagon"];
"C: specific heat capacity" [shape="hexagon"];
"k: boltzmann constant" [shape="hexagon"];
"sigma_x: standard deviation of position" [shape="hexagon"];
"sigma_p: standard deviation of momentum" [shape="hexagon"];
"hbar: reduced Planck constant" [shape="hexagon"];
"hat{x}: position operator" [shape="hexagon"];
"hat{p}: momentum operator" [shape="hexagon"];
"i: square root of negative 1" [shape="hexagon"];
"EMF: electromotive force [Volt]" [shape="hexagon"];
"v: velocity" [shape="hexagon"];
"K: kinetic energy" [shape="hexagon"];
"x: position" [shape="hexagon"]; // Used in Hooke's Law and work integral
"q: charge [Coulomb]" [shape="hexagon"];
"r: distance [meter]" [shape="hexagon"]; // Used in Coulomb's/Gravity laws
"E_field: electric field [N/C or V/m]" [shape="hexagon"];
"B_field: magnetic field [Tesla]" [shape="hexagon"];
"epsilon_0: permittivity of free space" [shape="hexagon"];
"mu_0: permeability of free space" [shape="hexagon"];
"V_potential: electric potential [Volt]" [shape="hexagon"]; // To distinguish from volume
"I: current [Ampere]" [shape="hexagon"];
"c: speed of light" [shape="hexagon"]; // Relevant to EM waves and Relativity
"k_e: Coulomb constant" [shape="hexagon"];
"lambda: wavelength [meter]" [shape="hexagon"];
"f: frequency [Hertz]" [shape="hexagon"];
"h: Planck constant" [shape="hexagon"]; // Relevant to QM/Photon Energy
"Psi: wave function" [shape="hexagon"]; // Central QM variable

"W: work" [shape="hexagon", label="W: work [Joule]"];
"W: number of microstates" [shape="hexagon", label="W: number of microstates"];


//  Variables: Thermodynamics and Statistical Mechanics
"P_pressure: pressure [Pascal]" [shape="hexagon"];
"V_volume: volume [meter^3]" [shape="hexagon"];
"n: moles" [shape="hexagon"];
"R: ideal gas constant" [shape="hexagon"];
"H: enthalpy" [shape="hexagon"];
"G: Gibbs free energy" [shape="hexagon"];
"Z: partition function" [shape="hexagon"];

//  Variables: classical mechanics
"k_spring: spring constant" [shape="hexagon"];
"tau: torque" [shape="hexagon"];
"I_moment: moment of inertia" [shape="hexagon"]; // To distinguish from Current 'I'
"alpha: angular acceleration" [shape="hexagon"];
"omega: angular velocity/frequency" [shape="hexagon"]; // Can be used for both
"L: angular momentum" [shape="hexagon"];
"G_grav: gravitational constant" [shape="hexagon"]; // To distinguish from Gibbs 'G'
}

subgraph cluster_expressions{
"Heisenberg Uncertainty principle\nsigma_x sigma_p >= hbar/2" [shape=rectangle];    
"Heisenberg Uncertainty principle\n[hat{x},hat{p}]=i hbar" [shape=rectangle];

"F = (G m1 m2)/(r^2)"  [shape=rectangle];

"F = m a" [shape=rectangle];
"F = dp/dt" [shape=rectangle];

"C = Q/(delta T)" [shape=rectangle];
"Boltzmann's equation\nS=k ln W" [shape=rectangle];

"U=Q-W" [shape=rectangle];
"Schrödinger equation, time dependent\ni hbar frac{d}{d t} vert Psi(t)rangle = hat{H}vert Psi(t) rangle" [shape=rectangle];

"E_k + U = constant" [shape=rectangle];

"PV = nRT" [shape=rectangle]; // Ideal Gas Law
"Coulomb's Law\nF = k_e |q1 q2| / r^2" [shape=rectangle];
"Electric Field def\nE_field = F/q0" [shape=rectangle]; // q0 is test charge
"Electric Potential def\nV_potential = - integral E dot dl" [shape=rectangle];
"Lorentz Force\nF = q (E_field + v x B_field)" [shape=rectangle];
"Faraday's Law\nEMF = -d(Phi_B)/dt" [shape=rectangle];
"Ampere-Maxwell Law\nintegral B dot dl = mu_0 (I_enclosed + epsilon_0 dPhi_E/dt)" [shape=rectangle];
"Wave Speed\nv_wave = f lambda" [shape=rectangle];
"Photon Energy\nE = hf" [shape=rectangle]; // Represents energy (E), already have Q for general energy
"De Broglie Wavelength\nlambda = h/p" [shape=rectangle];
"Mass-Energy Equivalence\nE = mc^2" [shape=rectangle];
"Lorentz Factor\ngamma = 1 / sqrt(1 - v^2/c^2)" [shape=rectangle];

// classical mechanics
"Hooke's Law\nF = -k_spring x" [shape=rectangle];
"W = integral F dot dx" [shape=rectangle];
"K = 1/2 m v^2" [shape=rectangle];
"Work-Energy Theorem\nDelta K = W_net" [shape=rectangle]; // W_net is net work
"Conservation of Energy\nE_total = constant" [shape=rectangle]; // More general form

// Thermodynamics and Statistical Mechanics
"H = U + PV" [shape=rectangle]; // Enthalpy
"G = H - TS" [shape=rectangle]; // Gibbs Free Energy

}


// conceptual links
"classical mechanics (v<<c)" -> "quantum mechanics" [label="is an approximation of"];
"special relativity\nc is constant" -> "classical mechanics (v<<c)" [label="is a generalization of"];
"special relativity\nc is constant" -> "general theory of relativity\ncurvature of spacetime" [label="is a special case of"];
"quantum mechanics" -> "Heisenberg Uncertainty principle\nsigma_x sigma_p >= hbar/2" [label="is comprised of"];
"quantum mechanics" -> "Heisenberg Uncertainty principle\n[hat{x},hat{p}]=i hbar" [label="is comprised of"];
"Heisenberg Uncertainty principle\nsigma_x sigma_p >= hbar/2" -> "Heisenberg Uncertainty principle\n[hat{x},hat{p}]=i hbar" [label="is equivalent to"];
"quantum mechanics" -> "Schrödinger equation, time dependent\ni hbar frac{d}{d t} vert Psi(t)rangle = hat{H}vert Psi(t) rangle" [label="is comprised of"];
"classical mechanics (v<<c)" -> "Newton's Laws of Motion" [label="is comprised of"];
"Newton's Laws of Motion" -> "F = m a" [label="is comprised of"];
"Newton's Laws of Motion" -> "F = dp/dt" [label="is comprised of"];
"classical thermodynamics" -> "First Law of Thermodynamics\nconservation of energy" [label="is comprised of"];
"statistical thermodynamics" -> "classical thermodynamics" [label="provides microscopic basis for"]; 
"First Law of Thermodynamics\nconservation of energy" -> "U=Q-W" [label="is comprised of"];
"classical mechanics (v<<c)" -> "conservation of mass" [label="is comprised of"];
"classical thermodynamics" -> "Boltzmann's equation\nS=k ln W" [label="is comprised of"];
"classical thermodynamics" -> "C = Q/(delta T)" [label="is comprised of"];

// Equation-Variable links
"F = m a" -> "F: force [Newton]";
"F = m a" -> "m: mass [kilogram]";
"F = m a" -> "a: acceleration [meter/(second^2)]";
"F = dp/dt" -> "F: force [Newton]";
"F = dp/dt" -> "p: momentum";
"F = dp/dt" -> "t: time";
"U=Q-W" -> "U: internal energy";
"U=Q-W" -> "Q: energy [Joule]";
"U=Q-W" -> "W: work"; 
"C = Q/(delta T)" -> "C: specific heat capacity";
"C = Q/(delta T)" -> "Q: energy [Joule]";
"C = Q/(delta T)" -> "T: temperature [Kelvin]";
"Boltzmann's equation\nS=k ln W" -> "S: entropy";
"Boltzmann's equation\nS=k ln W" -> "k: boltzmann constant";
"Boltzmann's equation\nS=k ln W" -> "W: number of microstates"; 
"Heisenberg Uncertainty principle\nsigma_x sigma_p >= hbar/2" -> "sigma_x: standard deviation of position";
"Heisenberg Uncertainty principle\nsigma_x sigma_p >= hbar/2" -> "sigma_p: standard deviation of momentum";
"Heisenberg Uncertainty principle\nsigma_x sigma_p >= hbar/2" -> "hbar: reduced Planck constant";
"Heisenberg Uncertainty principle\n[hat{x},hat{p}]=i hbar" -> "hbar: reduced Planck constant";
"Heisenberg Uncertainty principle\n[hat{x},hat{p}]=i hbar" -> "hat{x}: position operator";
"Heisenberg Uncertainty principle\n[hat{x},hat{p}]=i hbar" -> "hat{p}: momentum operator";
"Heisenberg Uncertainty principle\n[hat{x},hat{p}]=i hbar" -> "i: square root of negative 1";
"Schrödinger equation, time dependent\ni hbar frac{d}{d t} vert Psi(t)rangle = hat{H}vert Psi(t) rangle" -> "hbar: reduced Planck constant"; // Assuming Hat{H} implicitly uses mass/potential energy related variables

// --- Classical Mechanics ---
"classical mechanics (v<<c)" -> "Conservation of Energy" [label="includes principle"];
"classical mechanics (v<<c)" -> "Work-Energy Theorem\nDelta K = W_net" [label="includes principle"];
"classical mechanics (v<<c)" -> "Simple Harmonic Motion (SHM)" [label="includes topic"];
"classical mechanics (v<<c)" -> "Newton's Law of Gravitation" [label="includes law"];

"Work-Energy Theorem\nDelta K = W_net" -> "W = integral F dot dx" [label="based on"];
"Work-Energy Theorem\nDelta K = W_net" -> "K = 1/2 m v^2" [label="defines K"];
"Conservation of Energy" -> "E_k + U = constant" [label="formulated as"]; 

"W = integral F dot dx" -> "F: force [Newton]";
"W = integral F dot dx" -> "x: position"; // dx is differential of position

"K = 1/2 m v^2" -> "K: kinetic energy";
"K = 1/2 m v^2" -> "m: mass [kilogram]";
"K = 1/2 m v^2" -> "v: velocity";

"Simple Harmonic Motion (SHM)" -> "Hooke's Law\nF = -k_spring x" [label="is comprised of"];
"Hooke's Law\nF = -k_spring x" -> "F: force [Newton]";
"Hooke's Law\nF = -k_spring x" -> "k_spring: spring constant";
"Hooke's Law\nF = -k_spring x" -> "x: position";

"Newton's Law of Gravitation" -> "F = (G m1 m2)/(r^2)" [label="formulated as"];
"F = (G m1 m2)/(r^2)" -> "F: force [Newton]";
"F = (G m1 m2)/(r^2)" -> "G_grav: gravitational constant";
"F = (G m1 m2)/(r^2)" -> "m: mass [kilogram]" [label="m1, m2"]; // Reusing m for both
"F = (G m1 m2)/(r^2)" -> "r: distance between centers"

// --- Thermodynamics / Stat Mech ---
"classical thermodynamics" -> "Second Law of Thermodynamics\nentropy increases" [label="includes principle"];
"classical thermodynamics" -> "Ideal Gas Law" [label="describes gases"];
"classical thermodynamics" -> "Thermodynamic Potentials" [label="uses concepts like"];

"statistical thermodynamics" -> "Partition Function" [label="uses concept of"];

"Ideal Gas Law" -> "PV = nRT" [label="stated as"];
"PV = nRT" -> "P_pressure: pressure [Pascal]";
"PV = nRT" -> "V_volume: volume [meter^3]";
"PV = nRT" -> "n: moles";
"PV = nRT" -> "R: ideal gas constant";
"PV = nRT" -> "T: temperature [Kelvin]";

"Thermodynamic Potentials" -> "H = U + PV" [label="defines Enthalpy"];
"Thermodynamic Potentials" -> "G = H - TS" [label="defines Gibbs Free Energy"];

"H = U + PV" -> "H: enthalpy";
"H = U + PV" -> "U: internal energy";
"H = U + PV" -> "P_pressure: pressure [Pascal]";
"H = U + PV" -> "V_volume: volume [meter^3]";

"G = H - TS" -> "G: Gibbs free energy";
"G = H - TS" -> "H: enthalpy";
"G = H - TS" -> "T: temperature [Kelvin]";
"G = H - TS" -> "S: entropy";

// --- Electromagnetism ---
"Electromagnetism" -> "Maxwell's Equations\n(Summary)" [label="is summarized by"];
"Electromagnetism" -> "Coulomb's Law\nF = k_e |q1 q2| / r^2" [label="includes principle"];
"Electromagnetism" -> "Lorentz Force\nF = q (E_field + v x B_field)" [label="includes principle"];
"Electromagnetism" -> "Faraday's Law\nEMF = -d(Phi_B)/dt" [label="includes principle"]; // Direct link as important law
"Electromagnetism" -> "Ampere-Maxwell Law\nintegral B dot dl = mu_0 (I_enclosed + epsilon_0 dPhi_E/dt)" [label="includes principle"]; // Direct link as important law

// Link Maxwell's equations parts
"Maxwell's Equations\n(Summary)" -> "Faraday's Law\nEMF = -d(Phi_B)/dt" [label="includes"]; // Example of linking specific law to summary
"Maxwell's Equations\n(Summary)" -> "Ampere-Maxwell Law\nintegral B dot dl = mu_0 (I_enclosed + epsilon_0 dPhi_E/dt)" [label="includes"]; // Example

"special relativity\nc is constant" -> "Electromagnetism" [label="closely related (Maxwell's equations are relativistic)"];

"Coulomb's Law\nF = k_e |q1 q2| / r^2" -> "F: force [Newton]";
"Coulomb's Law\nF = k_e |q1 q2| / r^2" -> "k_e: Coulomb constant";
"Coulomb's Law\nF = k_e |q1 q2| / r^2" -> "q: charge [Coulomb]" [label="q1, q2"]; // Reusing q
"Coulomb's Law\nF = k_e |q1 q2| / r^2" -> "r: distance [meter]";

"Electric Field def\nE_field = F/q0" -> "E_field: electric field [N/C or V/m]";
"Electric Field def\nE_field = F/q0" -> "F: force [Newton]";
"Electric Field def\nE_field = F/q0" -> "q: charge [Coulomb]" [label="q0"]; // Reusing q

"Electric Potential def\nV_potential = - integral E dot dl" -> "V_potential: electric potential [Volt]";
"Electric Potential def\nV_potential = - integral E dot dl" -> "E_field: electric field [N/C or V/m]"; // dl is differential length (related to position)

"Lorentz Force\nF = q (E_field + v x B_field)" -> "F: force [Newton]";
"Lorentz Force\nF = q (E_field + v x B_field)" -> "q: charge [Coulomb]";
"Lorentz Force\nF = q (E_field + v x B_field)" -> "v: velocity";
"Lorentz Force\nF = q (E_field + v x B_field)" -> "E_field: electric field [N/C or V/m]";
"Lorentz Force\nF = q (E_field + v x B_field)" -> "B_field: magnetic field [Tesla]"; // Specifically link the magnetic part

"Ampere-Maxwell Law\nintegral B dot dl = mu_0 (I_enclosed + epsilon_0 dPhi_E/dt)" -> "B_field: magnetic field [Tesla]"; // dl is differential length
"Ampere-Maxwell Law\nintegral B dot dl = mu_0 (I_enclosed + epsilon_0 dPhi_E/dt)" -> "mu_0: permeability of free space";
"Ampere-Maxwell Law\nintegral B dot dl = mu_0 (I_enclosed + epsilon_0 dPhi_E/dt)" -> "I: current [Ampere]" [label="I_enclosed"];
"Ampere-Maxwell Law\nintegral B dot dl = mu_0 (I_enclosed + epsilon_0 dPhi_E/dt)" -> "epsilon_0: permittivity of free space";
// Phi_E link would require defining electric flux, maybe too detailed

"Faraday's Law\nEMF = -d(Phi_B)/dt" -> "EMF: electromotive force [Volt]"; 
// Phi_B link would require defining magnetic flux, maybe too detailed
"Faraday's Law\nEMF = -d(Phi_B)/dt" -> "t: time";

// --- Waves & Optics ---
"Electromagnetism" -> "Waves" [label="predicts existence of EM"]; // EM waves
"Waves" -> "Wave Speed\nv_wave = f lambda" [label="includes basic relation"];
"Wave Speed\nv_wave = f lambda" -> "v_wave: wave speed"; 
"Wave Speed\nv_wave = f lambda" -> "f: frequency";
"Wave Speed\nv_wave = f lambda" -> "lambda: wavelength";
"Waves" -> "Superposition Principle" [shape=rectangle, label="includes principle"];


// --- Quantum Mechanics ---
"quantum mechanics" -> "Wave-Particle Duality" [label="includes concept"];
"quantum mechanics" -> "Psi: wave function" [label="central concept"]; // Link QM topic to Psi variable

"Wave-Particle Duality" -> "Photon Energy\nE = hf" [label="expressed by"];
"Wave-Particle Duality" -> "De Broglie Wavelength\nlambda = h/p" [label="expressed by"];

"Photon Energy\nE = hf" -> "Q: energy [Joule]" [label="E is a form of"]; 
"Photon Energy\nE = hf" -> "h: Planck constant";
"Photon Energy\nE = hf" -> "f: frequency";

"De Broglie Wavelength\nlambda = h/p" -> "lambda: wavelength";
"De Broglie Wavelength\nlambda = h/p" -> "h: Planck constant";
"De Broglie Wavelength\nlambda = h/p" -> "p: momentum";

// --- Relativity ---
"special relativity\nc is constant" -> "Mass-Energy Equivalence\nE = mc^2" [label="includes relation"];
"special relativity\nc is constant" -> "Lorentz Factor\ngamma = 1 / sqrt(1 - v^2/c^2)" [label="includes factor"];

"Mass-Energy Equivalence\nE = mc^2" -> "Q: energy [Joule]" [label="E is a form of"]; 
"Mass-Energy Equivalence\nE = mc^2" -> "m: mass [kilogram]";
"Mass-Energy Equivalence\nE = mc^2" -> "c: speed of light";

"Lorentz Factor\ngamma = 1 / sqrt(1 - v^2/c^2)" -> "gamma: Lorentz factor";
"Lorentz Factor\ngamma = 1 / sqrt(1 - v^2/c^2)" -> "v: velocity";
"Lorentz Factor\ngamma = 1 / sqrt(1 - v^2/c^2)" -> "c: speed of light";

}

[bhpayne]

That graphviz is becoming too large to meaningfully visualize.

After some additional refinement, this graphviz could be refactored into a Cypher query for loading into Neo4j