Search Yields Only Popular-Science Metadata, No Primary Literature on Page-Curve Saturation — E8 Intelligence Research

FINDING: Search returned only popular-science and lecture-announcement metadata (YouTube titles/descriptions), not primary literature on Page-curve saturation in random hybrid circuits. No extractable equations from the sources themselves. | MATH: The domain's canonical results (not present in these sources, supplied as context): Page entropy S_Page ≈ ln(d_A) − d_A/(2d_B) for d_A ≤ d_B; saturation S → ln(d_A) at t ~ L (system size); entanglement growth S(t) ∝ v_E·t (linear ramp, v_E = entanglement velocity); hybrid circuits with measurement rate p exhibit volume-law→area-law transition at critical p_c, with S ~ ln L at criticality (conformal/log scaling). | CONNECTION: No geometric-harmony constants (0.382, 0.618, 0.786, 1.618, 2.618) appear in the retrieved material. The relevant structural ratios are instead: S_max/S_Page → 1 (saturation), and the log-law S ∝ ln L at criticality — a logarithmic, not golden-ratio, signature. Base-60 and crystallographic symmetries are not implicated b Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-02
DOI
https://doi.org/10.5281/zenodo.23877800
Primary Topic
Quantum many-body systems
Type
preprint
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Search Yields Only Popular-Science Metadata, No Primary Literature on Page-Curve Saturation — E8 Intelligence Research

Andrew Stewart Caldin
5 links
Zenodo (CERN European Organization for Nuclear Research)
Quantum many-body systems
preprint

Search Yields Only Popular-Science Metadata, No Primary Literature on Page-Curve Saturation — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Search returned only popular-science and lecture-announcement metadata (YouTube titles/descriptions), not primary literature on Page-curve saturation in random hybrid circuits. No extractable equations from the sources themselves. | MATH: The domain's canonical results (not present in these sources, supplied as context): Page entropy S_Page ≈ ln(d_A) − d_A/(2d_B) for d_A ≤ d_B; saturation S → ln(d_A) at t ~ L (system size); entanglement growth S(t) ∝ v_E·t (linear ramp, v_E = entanglement velocity); hybrid circuits with measurement rate p exhibit volume-law→area-law transition at critical p_c, with S ~ ln L at criticality (conformal/log scaling). | CONNECTION: No geometric-harmony constants (0.382, 0.618, 0.786, 1.618, 2.618) appear in the retrieved material. The relevant structural ratios are instead: S_max/S_Page → 1 (saturation), and the log-law S ∝ ln L at criticality — a logarithmic, not golden-ratio, signature. Base-60 and crystallographic symmetries are not implicated b Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Quantum many-body systems
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Search Yields Only Popular-Science Metadata, No Primary Literature on Page-Curve Saturation — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS