Sunlight and Circuit Entropy: Entanglement as Geometric Statistical Law — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: Sunlight-based quantum entanglement (no laser) and hybrid quantum circuit entanglement dynamics both confirm entanglement as a statistical/geometric phenomenon, not merely a particle-level curiosity. | MATH: Entanglement entropy scaling in hybrid circuits follows S ∝ α L (volume law) or S ∝ log L (area law) with a phase transition at critical measurement rate pc; sunlight entanglement involves spontaneous parametric down-conversion (SPDC) with photon pairs correlated in polarization — Bell state |Φ+⟩ = 1/√2(|HH⟩ + |VV⟩), yielding correlation coefficient E(θ) = cos(2θ) for polarizer settings. | CONNECTION: The cos(2θ) dependence yields maximal violation of Bell inequalities at θ = 22.5∘ and 67.5∘ — these are exactly the angles where cos2(22.5∘) = 0.8536 and sin2(22.5∘) = 0.1464, whose ratio \( 0.8536/0.1464 \approx 5.82
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Related
- Quantum Entanglement at 1200 km and Universal Quantum Statistical Laws — E8 Intelligence Research
- Quantum Coherence in Microtubules: Testing Orch-OR via Entanglement and Geometric Constraints — E8 Intelligence Research
- Geometry vs Binary: Quantum Physics Puzzles — geometric algebra quantum entanglement interpretat — E8 Intelligence Research
- E8 Dual-Root Vector Entanglement via Phi-Phased Coupling — E8 Intelligence Research
- E8 Phi-Modulated Entanglement Bridge Principle — E8 Intelligence Research
BibTeX
@misc{caldin2026sunlight,
title = {{Sunlight and Circuit Entropy: Entanglement as Geometric Statistical Law — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23410134},
url = {https://zenodo.org/records/23410134},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Sunlight and Circuit Entropy: Entanglement as Geometric Statistical Law — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/16
PB - Zenodo
DO - 10.5281/zenodo.23410134
UR - https://zenodo.org/records/23410134
AB - FINDING: Sunlight-based quantum entanglement (no laser) and hybrid quantum circuit entanglement dynamics both confirm entanglement as a statistical/geometric phenomenon, not merely a particle-level curiosity. | MATH: Entanglement entropy scaling in hybrid circuits follows S ∝ α L (volume law) or S ∝ log L (area law) with a phase transition at critical measurement rate p_c; sunlight entanglement involves spontaneous parametric down-conversion (SPDC) with photon pairs correlated in polarization — Bell state |Φ^+⟩ = 1/√2(|HH⟩ + |VV⟩), yielding correlation coefficient E(θ) = cos(2θ) for polarizer settings. | CONNECTION: The cos(2θ) dependence yields maximal violation of Bell inequalities at θ = 22.5^∘ and 67.5^∘ — these are exactly the angles where cos^2(22.5^∘) = 0.8536 and sin^2(22.5^∘) = 0.1464, whose ratio \( 0.8536/0.1464 \approx 5.82 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -