Geometrize the quantum!

This project is inspired by Eric Weinstein's Graph-Wall-Tome (GWT) project. Watch visual models on the YouTube channel.

Requirements

• CSV v0.10.13
• DataFrames v1.6.1
• FileIO v1.16.3
• GLMakie v0.9.9

Installation

You can install Porta by running this (in the REPL):

]add Porta

or,

Pkg.add("Porta")

or get the latest experimental code.

]add https://github.com/iamazadi/Porta.jl.git

Usage

For client-side code read the tests, and for examples on how to build please check out the models directory. See planethopf.jl as an example!

Status

• Logic [Doing]
• Set Theory [TODO]
• Topology [TODO]
• Topological Manifolds [TODO]
• Differentiable Manifolds [TODO]
• Bundles [TODO]
• Geometry: Symplectic, Metric [TODO]
• Documentation [TODO]
• Geometric Unity [TODO]

References

• Physics and Geometry, Edward Witten, (1987)
• The iconic Wall of Stony Brook University
• The Road to Reality, Sir Roger Penrose, (2004)
• A Portal Special Presentation- Geometric Unity: A First Look
• Planet Hopf, Dror Bar-Natan, (2010)
• SPINORS AND SPACE-TIME, Volume 1: Two-spinor calculus and relativistic fields, Roger Penrose, Wolfgang Rindler, (1984)
• A Young Person's Guide to the Hopf Fibration, Zachary Treisman, (2009)
• Mathematical Gauge Theory, with Applications to the Standard Model of Particle Physics, Mark J.D. Hamilton, (2018)
• Dynamics in the Hopf bundle, the geometric phase and implications for dynamical systems, Rupert Way, (2008)