proofofconcept's Introduction

Physics Derivation Graph

Claim: a finite static directed graph exists which describes all of mathematical physics.
Claim: the graph representation is machine parsable
Claim: this graph can be checked by a computer algebra system

Licensing

Creative Commons Attribution-ShareAlike 3.0 Unported License.

Requirements

Python 2.7, http://www.python.org/getit/

Python packages:

yaml
xml.dom.minidom

Non-Python applications

Latex
Graphviz (neato), http://www.graphviz.org/

How to use (for the impatient)

main commands:

python bin/create_pictures_of_statements_and_grammar.py
python bin/build_connections_graph.py

tools

python bin/list_connection_sets.py
python bin/list_inference_rules.py
python bin/generate_new_random_index.py

statistical analysis

python bin/popularity_of_inference_rules.py
python bin/popularity_of_statements.py
python bin/popularity_of_symbols.py

validate connections

python bin/check_connections_using_CAS.py

Command:

python bin/build_connections_graph.py

output: two pictures, each showing the graph for the selected sequence

"out_no_labels.png"
"out_with_labels.png"

These were generated using GraphViz and the output file "connection_result.gv" and the command

neato -Tpng connections_result.gv > out_with_labels.png

The other two output files are the same graph, "connections_result.py" for use with Networkx "connections_result.graphml" for input to graph plotting programs like yED

Status

Development and testing performed on Mac OS 10.7.5

Currently, content is manually coded into XML files:

connections_database.xml: how do inference rules and statements relate?
equations_database.xml : library of unique statements to be used by connections
operators_database.xml : library of unique inference rules to be used by connections
comments_database.xml : set of comments which may reference multiple statements

The XML format and style is under-documented because it is under active development

physics_graph_notes.log: my commentary and observations on the project as it progresses

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