PhilArchive
open access
No Primitive Lower Higgs Vacuum
The lower Higgs vacuum is not a primitive same-scope endpoint of the measured minimal Standard Model. A lower branch of a gauge-, scheme-, scale-, and matching-dependent effectivepotential representative is an admissible diagnostic, but endpoint standing begins only after the branch descends to a quotient-stable stability, lifetime, or richer-scope source certificate. The result does not deny the diagnostic use of RG-improved effective potentials or certificatedependent metastability claims. It denies the promotion of a lower effective-potential branch, as such, into primitive same-scope endpoint standing. High-scale minimal-SM continuation is treated as admissibility-relevant invariant-bundle content for lifetime verdicts, not as new physics and not as primitive branch standing. The paper further proves that same-domain route availability for Cmeta is exhausted in form. Every surviving route-available metastability protocol in the fixed target factors through the lifetime-route normal form Rlife; route availability itself neither generates endpoint standing nor revives primitive lower-branch standing. Standard metastability calculations are therefore classified rather than rejected: candidate protocols are assessed by route status, route-normal protocols are route-available, and only a closed singleton/lifetime certificate makes Cmeta standing-bearing. AASC is used as a mathematical constraint formalism for endpoint standing. Standard quantum field theory supplies the comparison arena: measured Higgs/top anchors, Nielsenidentity gauge control, RG and matching transport, high-scale vacuum-stability analyses, falsevacuum decay, finite-temperature electroweak thermodynamics, and electroweak-baryogenesis route conditions. The AASC contribution is the status calculus that separates diagnostic availability, quotient endpoint standing, singleton-certificate selection, same-scope deletion, route-form exhaustion, and richer-scope update. The theorem set has three endpoint outputs, together with one route-form exhaustion result: Survprim DT=0 HV,0[S2026](Clower) = 0, SelDT>0 HV,0 (Ccross) = 1, SurvDEWBG,0(EWBGSM) = 0. The accompanying route-form result separates candidate route protocols from route availability. For D = DT=0 HV,0[S2026], CandRouteD(Cmeta;P) ⇒ ρD route(P) ∈ DiagnosticOnly, RouteIncomplete, RouteNormal, TargetUpdate, StandingSmuggling , and RouteAvailD(Cmeta;P) = 1 ⇒ NFlife(P) ↓ ∧ P ∼=D NFlife(P). This is a statement about same-domain route grammar, not standing closure. Thus the fixed measured Higgs target deletes primitive lower-branch standing while preserving metastability as a certificate-dependent endpoint class. The measured minimal Standard Model finite-temperature target selects crossover and deletes the same-scope first-order branch. The same-scope minimal- Standard-Model electroweak-baryogenesis route, understood as a successful observed-asymmetry production-and-preservation route, has no certified survivor because the required electroweak departure and adequate CP/source limbs are absent. The result does not deny conditional metastability calculations; it denies only the primitive claim-form that a raw lower branch itself has endpoint standing. Any successful lower-vacuum endpoint, first-order transition, or electroweak-baryogenesis route requires a richer-scope or singleton certificate with its own carrier, transport, descent, and witness burdens.
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- The Higgs Domain Endpoint: Carrier, Identity, Scale, Vacuum, Extension, and Projection#692707
- What has the LHC told us about the electroweakino sector of the Minimal Supersymmetric Standard Model?#1084439
- Impact of Higgs-boson measurements on SMEFT fits#821417
- Limits on the production of the standard model Higgs boson in pp collisions at TeV with the ATLAS detector#780481
- Constraints on anomalous HVV couplings from the production of Higgs bosons decaying to τ lepton pairs#491911
Record · ID 692319
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive