I’m just going to ask questions as I read, for fun. I’m a layman.
Re: 2.1 Axioms of Information, how does new information enter a frame? Can an overarching relation generalize or bundle relations, creating a new relation? I’m thinking about consequences of absolute frame independent information and monotonicity.
But I’ll keep reading and thinking!
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Holonomies! We can drift from information in a frame if information is generalized inappropriately? I’m thinking about the game of telephone.
New information enters a frame through composition with adjacent frames. When two frames interact, they refine their shared relations and this update is local, meaning it doesn't require a global time variable. Instead, each composition increases the frame’s informational content, enriching its internal structure and making more distinctions possible.
Because composition is monotonic, you can’t lose information by resolving more, this creates a natural arrow of time: the frame's informational structure becomes strictly more refined (or at least never less refined), which gives rise to a directional, causal ordering of updates.