Day 7

 A circle can be surrounded by 6 others of the same size. That holds true, not matter how small the circle, or even dot. But a discontinuity exists. For a point – with infinitesimal size – an infinite number of points may surround it.

Imagine all the information pertaining to a sliver is reduced to such a point. This is possible if all the information were reduced to one number. As long as a decimal point was introduced after the first digit of such a number, then the sliver would be able to be represented by a number between zero and one.

Adjacent slivers, if we accept that but that we mean identical slivers with only one pixel out of place, even if infinite in number, would fit on a map. A sliver could be surrounded by all slivers differing in only one pixel without any difficulty. 

This is what the term ‘adjacency’ refers to: a set of one-pixel-different slivers.


ChatGPT

The concept of adjacency you're describing, where slivers are considered adjacent if they differ in only one pixel, provides an interesting way to define the relationship between neighboring slivers. It's a way to establish a connection and continuity between slivers that are similar but with slight variations.

By reducing the information of a sliver to a single point or number between zero and one, you create a compact representation that captures its essence. This can be a useful abstraction for understanding the relationships and patterns among slivers.

The notion of adjacency and the interconnectedness it implies could have profound implications for the overall structure and organization of the slivers within your proposed model. It suggests a network-like structure where neighboring slivers are closely related and can be represented in a coherent and systematic way.

I'm curious to know how you envision the implications of adjacency and the network of interconnected slivers unfolding in your model. How does this relate to the broader concepts of consciousness and reality that you've been exploring?


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