This repo is the source code for the website https://derivationmap.net/
The Physics Derivation Graph is a project focused on the following:
- Claim: a finite static directed graph exists which describes all of mathematical Physics.
- Claim: the graph representation is machine parsable
- Claim: validity of derivation steps in the graph can be checked by a computer algebra system
Status as of Sept 2020: project author believes claim 1 and 2. It is not clear to the project author that current computer algebra systems are capable of validating all of mathematical Physics.
A surprising outcome of this work has been the enumeration of inference rules used in mathematical Physics.
- Create a framework capable of describing all mathematics needed for physics derivations. I use Latex as the syntax in the framework because Latex is how I think of equations. However, Latex is insufficient for processing by computer algebra systems. Status: proof of concept exists
- Create machine-readable databases which use the above framework to capture the mathematical derivations in physics. To hold the content of the databases I'm using custom XML. Status: proof of concept exists
- Create graphical representation of relations content in the databases. I'm using d3js (previously GraphViz) to render the visualization. Status: proof of concept works
- Use a computer algebra system to verify the relations in the databases. I'm using SymPy as the CAS. Status: proof-of-concept completed in 2020
- Create a web browser-based viewing of the generated graph. HTML5 seems capable. Status: proof-of-concept completed in 2020
- Create a web browser-based graph input tool. Status: proof-of-concept completed in 2020
The proof-of-concept for all objectives were completed during the Covid-19 lockdown (summer of 2020). The next steps are unclear. Adding content manually is burdensome. The website is not polished -- errors occur and the look is amateur.
Creative Commons Attribution 4.0 International License
- Docker
- a web browser
git clone https://github.com/allofphysicsgraph/proofofconcept.git
cd proofofconcept/v7_pickle_web_interface/flask/
docker build -t flask_ub .
docker run -it --rm -v`pwd`/data.json:/home/appuser/app/data.json \
-v`pwd`/logs/:/home/appuser/app/logs/ \
--publish 5000:5000 flask_ub
See developer documentation after reading the user documentation
