Structural Mediation of Planckian Dissipation in Strongly Correlated Electron Systems

In the paper's words

The pursuit of macroscopic quantum coherence in strongly correlated electron systems is fundamentally limited by Planckian dissipation, a universal scattering rate that renders active-dynamic control thermodynamically untenable. This paper introduces “Quantum Architectonics,” a design paradigm that leverages passive structural intelligence to overcome this limit. We propose the “Signal-Worker” ontology to unify the physics of 2D Moiré materials and 3D bulk complex oxides (e.g., Cuprates).

The abstract, verbatim, and its opening sentence is the claim. Every line below is quoted from the text.

Numbers it reports

1. Assuming an optimal coding efficiency where the structural entropy $\chi$ is normalized to unity (representing 1 bit of structural information per degree of freedom), the optimal LCI is: $$ LCI_{opt} = \frac{\ln(G_{max})}{\chi} = \ln(2\pi) $$ Our calculation yields: $$ LCI_{opt} \approx 1.837877... $$ This result provides a striking confirmation of our hypothesis.

   from 4.1 The Logarithmic

2. This value is within 1% of the theoretical limit of 1.837, confirming that s-wave systems can almost perfectly saturate the MSS bound for coherence protection.

   from 5.2 TMDs (WSe$_2$): S-wave Shielding

3. We provide a first-principles derivation showing the LCI optimum is a universal constant, $LCI_{opt} = \ln(2\pi) \approx 1.83$ , derived from the fundamental bound on quantum chaos.

   from Abstract

4. Maldacena, Shenker, and Stanford (2016) established a universal bound on the Lyapunov exponent $\lambda_L$ of a quantum many-body system: $\lambda_L \le 2\pi k_B T / \hbar$.

   from 1.4 The Lossless

5. Our central hypothesis is that the optimal value is given by the natural logarithm of the dimensionless MSS factor: $$ LCI_{opt} = \ln(2\pi) \approx 1.837 $$ This value, approximately 1.83 , represents the “Goldilocks” zone of structural complexity.

   from 1.4 The Lossless

6. RQ2 (Methodological - Theoretical Rigor): “What is the fundamental information-theoretic or thermodynamic derivation for the LCI = 1.83 benchmark, and does it correspond to a universal bound on quantum chaos (e.g., the MSS bound) or information flow?” This question seeks to remove the heuristic nature of previous efficiency metrics.

   from 1.5 Research Questions and

How it is done

1. Approach Author: Rowan Brad Quni-Gudzinas Contact: rowan.quni@outlook.com ORCID: 0009-0002-4317-5604 ISNI: 0000000526456062 URL: https://papers.qnfo.org/papers/structural-mediation-of-planckian-dissipation-in-strongly-correlated-electron-systems/ Date: 2026-02-03 Version: 1.0

   from A Universal Architectonic

2. We provide a first-principles derivation showing the LCI optimum is a universal constant, $LCI_{opt} = \ln(2\pi) \approx 1.83$ , derived from the fundamental bound on quantum chaos.

   from Abstract

3. Quantum Architectonics, Signal-Worker Ontology, Lossless Complexity Index, Planckian Dissipation, Cuprates, Moiré Superlattice, MSS Bound, Non-Markovian Dynamics, d-wave Superconductivity.

   from Keywords

4. This approach moves from fighting the bath to structuring the bath.

   from 1.1 The Coherence Crisis

What would falsify it

1. However, this hypothesis must be tested against the topological constraints of the system.

   from 1.4 The Lossless

2. Furthermore, we perform convergence tests by doubling the number of trajectories (to 10,000) for a subset of critical points (e.g., the LCI=1.83 peak) to ensure that the observed optimum is not a numerical artifact.

   from 3.7 Statistical Validation

3. Our theory predicts that the giant phonon anomalies occur precisely when the electronic system enters the strange metal phase because the lattice is “reacting” to the increased scrambling rate.

   from 4.5 Linking

Where the claim stops

1. Our computational model, while capturing the essential non-Markovian and d-wave physics, makes several simplifying assumptions.

   from 6.4 Limitations of the Model

2. It assumes elastic scattering at the nodes.

   from 6.4 Limitations of the Model

3. Our computational models, which approximate Non-Markovian dynamics, demonstrate that optimized “Phononic Scaffolds” can achieve significant coherence gains over memoryless systems.

   from Abstract

Where to read

1. A Universal Architectonic17 words · 1 min
2. Abstract169 words · 1 min
3. Keywords18 words · 1 min
4. 1.03,119 words · 14 min
5. 2.01,894 words · 8 min
6. 3.01,131 words · 5 min
7. 4.0 Results1,150 words · 5 min
8. 5.0 Results II:1,278 words · 6 min
9. 6.0 Discussion:1,173 words · 5 min
10. 7.0 Conclusion289 words · 1 min
11. Appendices2,140 words · 9 min