README.md
Inverse Galois: source and evidence
README.md
1 # Galois expanded Resolution Theory journal edition
2
3 ## Article
4
5 **Resolution Theory: Projector Geometry, Galois Descent, and Multiscale Realizations**
6
7 Author: Komorebi P.
8
9 ## Primary files
10
11 - `Resolution_Theory_Galois_Expanded_Mathematical_Core.pdf` is the bibliography free mathematical core
12 - `Resolution_Theory_Galois_Expanded_Journal_Manuscript.pdf` is the submission assembly with bibliography
13 - `Resolution_Theory_Galois_Expanded_References.pdf` is the separate bibliographic companion
14 - `Resolution_Theory_Galois_Expanded_AI_Disclosure.pdf` is the separate language model disclosure
15
16 ## Scale
17
18 - 74 page mathematical core
19 - 76 page submission assembly
20 - 87 theorems
21 - 16 propositions
22 - 2 lemmas
23 - 17 corollaries
24 - 122 internally proved theorem type records
25 - 122 proof environments
26 - 14 definitions
27 - 9 open problems
28 - 31 figure environments using 30 vector figure files
29 - 30 cited references
30 - Galois expanded Resolution Theory verification: 669 of 669 checks passed
31
32 ## Galois expansion
33
34 The prior 57 page edition has been extended by a complete semisimple finite Galois realization and its exact boundaries. The new material includes fixed point projectors, the subgroup and intermediate field lattice, normality as central compatibility, quotient compression, trace and norm transfers, Fourier Galois charts, normal bases, conjugate projector atlases, Mackey transition packets, ramification detail projectors, Artin conductor formulas, profinite Haar projectors, Hilbert 90 descent, Brauer obstruction, finite etale Galois categories, and Tannakian reconstruction.
35
36 ## Boundary
37
38 The paper does not claim that projector notation replaces modular or wild Galois theory. The finite embedding is proved in a characteristic zero semisimple Hilbert realization. Modular averaging, finite flat group schemes, wild ramification beyond semisimple complex representations, arbitrary measurable descent, and Hopf or quantum Galois reconstruction remain separate research problems.