visualize success and then deliver the minimum viable product

Today I applied two principles and made tremendous progress. First, I thought about what success meant for the Physics Derivation Graph. The central claim is that mathematical physics can be represented as a single graph. My insight was that I should simply focus on that. The second principle was determining the minimum viable product to achieve that vision of success.



The outcome is a hyperlinked SVG of concepts and topics:

http://allofphysicsgraph.github.io/proofofconcept/site/sandbox/topic_and_concept_graph.svg

This is a map of topics (ie Quantum Mechanics) and concepts (ie Schrodinger's Equation) in Physics.

I've drawn edges between concepts where there exists a paper detailing the mathematical connection

In the SVG, edges which are bold can be clicked to see the referenced URL


There's an equivalent PNG, but the hyperlinks aren't active:
http://allofphysicsgraph.github.io/proofofconcept/site/sandbox/topic_and_concept_graph.png


The point of this graph is that

1. the major topics in Physics are present
2. the major topics are linked to associated concepts
3. there are mathematical links between the concepts

The remaining work is to
4) fill in with additional concepts so that there is a path from any blue box (topic) to any other blue box through only red ellipses (concepts). Then the claim will be validated in theory. 
5) After that, go back and fill in the actual math using expressions and inference rules. 

6) Verify correctness of steps using a CAS

• break Latex expressions into constituent symbols and operators (ref 1, ref 2, ref 3)

Then I'm done!


The PDG isn't "complete" in accounting for all of Physics, but I didn't expect to go that far. Showing complete coverage of topics is sufficient.