I don’t know how it would work mathematically. But I consider imaginary time as time operating in distinct pockets, similar to a subroutine on a parallel processor that can spit out results seemingly instantaneously to the host program but only because it’s “black boxed” and otherwise disconnected to the main flow of time except for simultaneously input/output connection.

I don’t know how [read full article]


You get it. This is the stuff I’m talking about. If you look at the physical structure of plants, particularly trees, it’s easy to envision some ultra low power control that would not hurt the trees but allow for our communication and computational capabilities to extend. I love the coral reef thing . That seems implimentable in the very near future.

You get it. This [read full article]


For any difficult math that’s way beyond me, I try to relate _in some fashion_ to mathematical morphology, which is used in image processing, particularly in the medical field. As it is “hands on” (using ImageJ) I was able to quickly (within a month or so) understand it and through it, any “complete lattice” as mathematical morphology is a complete lattice. Boosted my math intuition by uncountable amounts. Now it seems that while Loewner’s theorem on monotone matrix functions does NOT fit into a complete lattice model, Loewner order CAN get part way there via a notion of Sponges. https://www.degruyter.com/view/j/mathm.2016.1.issue-1/mathm-2016-0002/mathm-2016-0002.xml Alas, as I looked at it, “5.6 A non-sponge: The Loewner order The Loewner order considers a (symmetric) matrix A less than or equal to another (symmetric) matrix B if the difference B – A is positive semidefinite. This is a partial order compatible with the vector space structure of (symmetric) matrices, but it does not give rise to a lattice, or even a sponge.” So, I didn’t get a satisfying shortcut. BUT this tells me that: a) This is not only NOT in a set of complete lattices but also b) it can barely be approached in that fashion. Loewner order CAN be computed WITH CARE such as to fit the join/meet requirements in a limited fashion… but I’m getting a strong sense that whatever magic is with Loewner’s Theorem on Monotone Matrix Functions it’s simply beyond me. Still, it’s satisfying to get a tiny bit there, and I can at least chew on sponges instead for a bit.

For any difficult math
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