Title : A relative-time theory-of-everything kernel: Outer–micro boundary selectors, calibrated branches, gauge connections, spectra, and cosmology
Abstract:
This paper gives a single, scope-qualified statement of the intended theory of everything program. Its central variable is not a new substance but an exterior–microdomain boundary mismatch: the difference between an outside gravitational/proper-time domain and a causally protected small domain. I denote the branch-selector part of this difference by ΔOM^sel. In conservative language, ΔOM^sel is a compact package of boundary-clock lapse ratio, boundary phase, reversible access topology, stationary density/pressure-gap coordinate, and pre-comparison spectral-boundary rule data. The guiding claim is conditional: if this selector datum is fixed and sealed for the branch Bours of our universe, then the observed constants and states should be outputs of one no-reset map rather than separately fitted numbers. Gravity is the smooth geometry of relative proper time; quantum mechanics is the readout theory for hidden internal temporal order; U(1), SU(2)L, and SU(3)c are treated here as boundary-frame connection sectors to be reconstructed, not as already-classified consequences; string/brane-like structure is treated as extended access-boundary dynamics; and cosmology is the large-domain pressure-gap and vacuum-support limit of the same mismatch. The manuscript is therefore organized as a calibrated-branch TOE kernel: observed anchors may be used to identify Bours, but the selector datum must then be sealed and all non-anchor observables must be recomputed as held-out predictions. The purpose of calibration is not to count anchor values as predictions. Its purpose is to identify the branch corresponding to our universe. Only values not used in the anchor set, recomputed after the selector datum has been sealed, are scored as calibrated-branch predictions. The paper does not ask the reader to accept the program by terminology. It supplies a ledger standard: definitions, ansatz choices, finite conditional theorems, conditional scaffolds, negative witnesses, blind-value comparisons, and proof obligations are separated. The strongest evidence presently recorded is that several independent-looking quantities—the finite same-root candidate for α, the internal RIC boundary scalar, a tau-sector candidate, anomaly-compatible gauge skeletons, and cosmological pressure-gap scaffolds—all arise from the same relative-time/access-boundary vocabulary. The calibrated-branch protocol definition is complete, and a first single-anchor scoped run is now supplied: the anchor identifies the branch, calibration rows are excluded from prediction scoring, and the emitted non-calibration held-out value is scored while all-at-once descendant obligations are reported separately as a hostile external audit. The unqualified first-principles TOE theorem remains a reconstruction target.
