Geometry vs Binary: Quantum Physics Puzzles — geometric algebra quantum entanglement interpretat — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
## Binary Failure → Geometry Solution
# Analysis: Tensor Networks, Entanglement Simulation, and the Geometric Wall
## Where the Conventional Approach Hits the Wall
Tensor networks are the *best* conventional tool for simulating quantum entanglement — and that's exactly why they're the perfect case study. They work by representing a quantum state as a network of contracted tensors, with **bond dimension** controlling how much entanglement you can capture. The wall is precise:
**1. The bond-dimension explosion.** To exactly represent a generic entangled state of N qubits, bond dimension grows exponentially (χ ~ 2^(N/2)). Every talk in this list — Ran's "simulators inspired by tensor network," Dziarmaga's "2D tensor networks," Lucia's "entanglement structures" — is dancing around the same fact: **the geometry of the tensor network is chosen by hand, and the entanglement geometry of the actual state doesn't match it.** You pick a 2D grid, or a tree, or a MERA, and hope the state's enta
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026geometry,
title = {{Geometry vs Binary: Quantum Physics Puzzles — geometric algebra quantum entanglement interpretat — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23658876},
url = {https://zenodo.org/records/23658876},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Geometry vs Binary: Quantum Physics Puzzles — geometric algebra quantum entanglement interpretat — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/26
PB - Zenodo
DO - 10.5281/zenodo.23658876
UR - https://zenodo.org/records/23658876
AB - ## Binary Failure → Geometry Solution # Analysis: Tensor Networks, Entanglement Simulation, and the Geometric Wall ## Where the Conventional Approach Hits the Wall Tensor networks are the *best* conventional tool for simulating quantum entanglement — and that's exactly why they're the perfect case study. They work by representing a quantum state as a network of contracted tensors, with **bond dimension** controlling how much entanglement you can capture. The wall is precise: **1. The bond-dimension explosion.** To exactly represent a generic entangled state of N qubits, bond dimension grows exponentially (χ ~ 2^(N/2)). Every talk in this list — Ran's "simulators inspired by tensor network," Dziarmaga's "2D tensor networks," Lucia's "entanglement structures" — is dancing around the same fact: **the geometry of the tensor network is chosen by hand, and the entanglement geometry of the actual state doesn't match it.** You pick a 2D grid, or a tree, or a MERA, and hope the state's enta Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -