TL;DR
This paper provides a non-technical overview of the current status and historical development of quantum dynamics in Loop Quantum Gravity, clarifying misconceptions and recent no-go results.
Contribution
It offers a detailed, accessible summary of Loop Quantum Gravity's progress and addresses misconceptions from recent literature.
Findings
Clarifies the non-trivial progress in LQG
Refutes incorrect no-go conclusions in recent papers
Provides historical context and detailed explanations
Abstract
This is a (relatively) non -- technical summary of the status of the quantum dynamics in Loop Quantum Gravity (LQG). We explain in detail the historical evolution of the subject and why the results obtained so far are non -- trivial. The present text can be viewed in part as a response to an article by Nicolai, Peeters and Zamaklar [hep-th/0501114]. We also explain why certain no go conclusions drawn from a mathematically correct calculation in a recent paper by Helling et al [hep-th/0409182] are physically incorrect.
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