Paper
Title
Beyond the Grinberg Lattice: Boundary Precision, Sector Switching, and Decoder Lag in a Holographic-QEC-Inspired Model of Coherence and Recoverability
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Abstract
Jacobo Grinberg’s lattice-like research program remains scientifically unresolved: historically influential, conceptually ambitious, and mathematically incomplete. This paper revisits that program using contemporary tools from holographic quantum error correction (HQEC), entanglement-wedge reconstruction, metastable neural dynamics, and nonlinear systems theory. The objective is not to preserve Grinberg’s original terminology, but to determine whether a defensible scientific core can be extracted from it and reformulated into a reproducible research program.
The source audit produces a sharp negative result and a narrower constructive result. Negative: the most speculative terms often associated with retrospective interpretations of Grinberg’s work are not standard technical objects in HQEC, mainstream neuroscience, or chaos theory, and therefore cannot be treated as literature-native constructs. Constructive: the strongest admissible bridge runs through recoverability and code-subspace dependence in HQEC, metastable integration/segregation and phase-locking in neural dynamics, and delay-driven regime switching in nonlinear systems.
On that basis, we study a delayed bistable lattice with sector-conditioned decoding. The reproduced simulations separate two robust regimes: coherent sector switching with transient decoder-lag penalty and fragmented local transition with persistent recovery degradation. Under sign-aliased boundary observations, sector-conditioned decoding becomes necessary, providing a simple but reproducible analogue of restricted recoverability across effective code families. The main conclusion is therefore limited but substantive: if a lattice-like medium supports metastable coherent sectors and partial-observation decoding, then transient temporal mismatch can be modeled as delayed decoder updating across a sector transition, while fragmentation corresponds to a distinct dynamical failure mode.
Author and contact
Alberto Cardenas
Contact: iam@albertocardenas.com