PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
March 21, 20260 citationsOpen Access

RCD 2. 0 — Paper P1 v1. 1: Minimal Candidate for SₑffC: Parent Action with Sectorial Reductions and Hamming–Continuum Bridge

View Full Paper
ACArturo CerezoPanama Canal Authority

Key Points

  • The aim is to develop a minimal effective action for the coherential field C(x,t) and establish links with cosmological and quantum frameworks.
  • Constructed local and configuration blocks of the effective action S_eff[C].
  • Introduced a bilocal coupling through a saturating kernel for configuration dissimilarity.
  • Derived integro-differential equations and a nonlocal stress-energy tensor for C.
  • Applied lattice regularization and covariant gradient expansion techniques.
  • Established a relationship between the configuration dissimilarity functional and Hamming distance.
  • Derived an exact equation of motion for the field and a formal operational closure for the action.
  • Identified effective kinetic renormalization as a step toward understanding galactic reductions.

Abstract

We construct the minimal parent effective action SₑffC = SₗocC + SconfC for the coherential field C (x, t) of the RCD 2. 0 program. The local block Sₗoc reproduces the established cosmological P2 sector in the homogeneous/infrared regime. The configuration block Sconf introduces a bilocal coupling through a saturating kernel that induces a coarse-grained configuration dissimilarity functional DKC₁, C₂ with finite resolution C_*. Under lattice regularization with binary field truncation and local kernel, DK reduces to a quantity proportional to the Hamming distance dH, thereby providing the formal bridge between the GHZ empirical anchor (P0-a) and the parent coherential action. We derive the exact integro-differential equation of motion for C and the formal nonlocal stress-energy tensor T^μν₂₎₍₅, establishing formal operational closure of the classical parent action in the effective local-kernel approximation. A covariant gradient expansion of Sconf in Riemann normal coordinates produces an effective kinetic renormalization as the first step toward the galactic sector reduction. The structural bridge (DK → dH) is distinguished from the dynamical bridge (derivation of ρ ∝ exp (−Γ DK) ), which remains an explicit conjecture and target for subsequent work. No modification of quantum mechanics is assumed; no new dynamical fields are introduced.

Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

Arturo Cerezo (2026) studied this question.

synapsesocial.com/papers/69be38126e48c4981c67840chttps://doi.org/10.5281/zenodo.19119584
Ask AI
Helpful
Bookmark
Share
View Full Paper