About this site
This site is a public record of mathematical work concerned with the conditions under which processes, arguments, and constructions are permitted to continue.
The central theme is continuation. Not continuation understood as evolution in time, but continuation understood as a structural allowance. The work asks what must already be true for a process to be allowed to persist, what exhausts that permission, and what kinds of failure are structural rather than accidental.
From this perspective arise related notions such as admissibility, capacity, exhaustion, and collapse. These are treated as primary concepts, not metaphors.
What You Will Find Here
The material on this site is organized as a sequence of focused pieces rather than a single narrative. Some posts introduce definitions. Others establish structural results. Some are interpretive, clarifying how the framework reframes familiar problems in mathematics, physics, or computation.
Not every post contains a complete proof. When a result is provisional, that status is stated explicitly. When a result is firm, the assumptions it depends on are made visible.
Versioning is intentional. Changes are tracked, and revisions are acknowledged.
What This Site Is Not
This is not a blog in the usual sense. It is not a news feed, a commentary stream, or a venue for informal speculation.
It is also not a product site or a presentation layer for applications. The focus here is on structure, not implementation.
Relation to Existing Work
Some of the ideas developed here overlap with established areas of mathematics and theoretical computer science. Others do not fit comfortably into existing categories.
No claim is made that the framework belongs to a recognized discipline. The purpose of making the work public is precisely to allow that question to be examined rather than assumed.
Readers are encouraged to treat the material as a proposal that can be tested, refined, or rejected, but only after it has been understood on its own terms.
Status
This site reflects an ongoing project. Definitions may sharpen, proofs may simplify, and some lines of inquiry may be abandoned.
What remains constant is the aim to be explicit about what is known, what is conjectured, and what remains unresolved.
Nothing here is presented as final.