Enter, I-B-G-S-v3, 2026, pp. 1-47
I-B-G-S: Intrinsic spin-1 and spin-2 Green operators on the prescribed conical spacetime
Ngo Cheung
18 October 2026
Abstract
We construct extension-dependent free spin-1 and spin-2 Green operators on the prescribed conical product of I-B and examine their compatibility with gauge divergence. The central result is a domain distinction invisible to the local differential expression: the componentwise Friedrichs vector operator is compatible with the scalar Friedrichs ghost, whereas the componentwise Friedrichs symmetric-tensor operator fails the de Donder intertwining identity when the deficit is less than π. At fixed longitudinal frequency the latter failure is an explicit radial rank-one boundary defect in each of two helicity channels. Within the stated channel-diagonal, scale-invariant family, replacing precisely those channels by their singular nonnegative Bessel realization restores the source-test Ward identities and finite local curvature for smooth spectral packets. We call this the curvature-regular branch; it is a mathematical selection on the idealized cone, not a physical core-limit theorem.
Closed Sommerfeld–Dowker kernels give finite propagation, localization of the branch difference to the apex-diffracted region, and equality with completion Green operations before additional arrivals. This equality does not identify symmetric covariances or states. A finite Bernoulli-jet prescription yields the Maxwell stress tensor and, for a separately declared graviton-contraction normalization, the electric and magnetic curvature squares. The regular Ricci–Riemann correlator vanishes in the compatible branch. The potential significance is an explicit demonstration that positivity and componentwise regularity do not alone determine a gauge-compatible apex domain. The full form-domain theorem, spin-2 core selection, complete Bel–Robinson tensor, and independent irrational-angle graviton check remain open. No interacting apex algebra, interacting BRST differential, Einstein dynamics, backreaction, or emergence is constructed.
Bibliographic record
- Title
- I-B-G-S: Intrinsic spin-1 and spin-2 Green operators on the prescribed conical spacetime
- Author
- Cheung, Ngo
- Publication date
- 2026/10/18
- Institution
- Enter
- Report number
- I-B-G-S-v3
- Publisher
- Cheung Ngo Medical Limited
- First page
- 1
- Last page
- 47
- Language
- en