Reminds me of this-"He who knows his destination and heads directly to it gets there quickly. He who knows his destination but takes the odd wrong turn along the way will still get there and be wiser for the experience." Peter Karsten.
Really like the whole idea of representing processes and relationships in this way. I have been told so many times that things have to be described mathematically, to be at all useful. Drawing a diagram to represent what is happening is almost like a middle ground between painting a mental picture with words and giving an abstract quantitative description. It can be an easily understood picture but also precise. Clever.
Re using it to describe space-time and hopefully find quantum gravity:Space-time is not where the cause of gravity is to be found IMO. Space-time reality has to be the product of observer fabrication of reality from recieved data. Which says to me that it only exists as something inseperable from the output medium. That could be a flat photographic sheet or a computer screen or the electrical activity of the brain, as examples.
The space-time Image might appear to have independent topology in space but it has no independent existence there is only the EM data from which it is generated spread within the environment.Which has a relationship to the source which produced it and what has happened to it prior to input to an observer. IE alteration resulting in part from the data's wave properties, and also resulting from distortion of the medium of transmission. The mathematics of space-time (and optics) describe different aspects of that appearance and how it will be altered under different circumstances. What will have independent existence is the Object or Source reality that provided the data from which it is produced. The many ways in which that can be described really is interesting to me.
That article reinforces my enthusiasm for learning more about this kind of representation.It might also be useful for teaching-leaning physics as it has the potential to cut out a lot of complicated abstract representation.And should allow easier cross over from other disciplines. Thanks for sharing that.