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Question
How do gauge fibers over spacetime differ from reconstruction fibers over thickness?
What the note explains
A gauge fiber holds internal frames at a spacetime point. A fixed-thickness fiber collects reconstruction objects at one thickness. Keeping their bases explicit prevents two different uses of “fiber” from being mistaken for one object.
Example
Compare two local frames related by a gauge transformation, then compare two realizations lying at the same thickness. The first comparison changes a presentation; the second belongs to the reconstruction diagram.
What the approach gains
The note gains a way to discuss local data, global choices, and scale compatibility together. It explains why a well-defined physical space at each stage need not occupy one canonically fixed ambient representation.
Reading route
Read the abstract and historical opening, then follow the principal-bundle discussion into the fixed-thickness reconstruction. Keep a two-column list: spacetime base / thickness base.
Scope and limits
The historical one-loop calculation is not recovered here. This conceptual note does not construct a thin theory or establish its mass spectrum.