References

References

[1] Effective dynamical constraints and emergent autonomy: Mathematical conditions, physical memory, and universality. Unpublished research report, 2026.

[2] Self-generated physical organization. Unpublished research report, 2026.

[3] Emergent constraints and physical memory: Conditional results for persistent dynamical reorganization. Unpublished research report, 2026.

[4] Igor S. Aranson and Lorenz Kramer. The world of the complex Ginzburg-Landau equation. Reviews of Modern Physics, 74:99-143, 2002. doi: 10.1103/RevModPhys.74.99. URL https://arxiv.org/abs/cond-mat/0106115.

[5] Emanuele Berti, Vitor Cardoso, and Andrei O. Starinets. Quasinormal modes of black holes and black branes. Classical and Quantum Gravity, 26:163001, 2009. doi: 10.1088/0264-9381/26/16/163001.

[6] Eric A. Carlen and Jan Maas. Non-commutative calculus, optimal transport and functional inequalities in dissipative quantum systems. Journal of Statistical Physics, 178:319-378, 2020. doi: 10.1007/s10955-019-02434-w. URL https://arxiv.org/abs/1811.04572. Corrected arXiv version v2, 28 October 2020.

[7] Claudio Castelnovo, Claudio Chamon, Christopher Mudry, and Pierre Pujol. From quantum mechanics to classical statistical physics: Generalized Rokhsar-Kivelson hamiltonians and the “stochastic matrix form” decomposition. Annals of Physics, 318(2):316-344, 2005. doi: 10.1016/j.aop.2005.01.006. URL https://arxiv.org/abs/cond-mat/0502068.

[8] Hang Dong, Pengfei Zhang, Ceren B. Dağ, et al. Measuring the spectral form factor in many-body chaotic and localized phases of quantum processors. Physical Review Letters, 134:010402, 2025. doi: 10.1103/PhysRevLett.134.010402. URL https://arxiv.org/abs/2403.16935.

[9] Raz Firanko, Moshe Goldstein, and Itai Arad. Area law for steady states of detailedbalance local Lindbladians. arXiv:2212.10061v2, 2023. URL https://arxiv.org/abs/2212.10061v2. 10 January 2023.

[10] Miroslav Grmela and Hans Christian Öttinger. Dynamics and thermodynamics of complex fluids. I. development of a general formalism. Physical Review E, 56:6620-6632, 1997. doi: 10.1103/PhysRevE.56.6620.

[11] Tosio Kato. Perturbation Theory for Linear Operators. Springer, 1995. doi: 10.1007/978-3-642-66282-9. Classics in Mathematics reprint of the second edition. Reference link

[12] Ryogo Kubo. The fluctuation-dissipation theorem. Reports on Progress in Physics, 29: 255-284, 1966. doi: 10.1088/0034-4885/29/1/306.

[13] Hazime Mori. Transport, collective motion, and Brownian motion. Progress of Theoretical Physics, 33:423-455, 1965. doi: 10.1143/PTP.33.423.

[14] Michael Reed and Barry Simon. Methods of Modern Mathematical Physics. I: Functional Analysis. Academic Press, revised and enlarged edition, 1980. Reference link

[15] Jeremy Rodgers. The canonical Lambda-field: Uniqueness, spectral determinants, and dissipative generators, 2025. URL https://doi.org/10.5281/zenodo.18092342. Version 2, 30 December 2025. Reference link

[16] Jeremy Rodgers. Lambda-profiles and the universal spectral budget: Lawful structure of dissipative generators, 2025. URL https://doi.org/10.5281/zenodo.18092618. Version 1, 30 December 2025. Reference link

[17] Jeremy Rodgers. The reality atlas, 2026. URL https://www.everythingequation.com/atlas. Accessed 2 November 2026. Reference link

[18] Jeremy Rodgers. The coherence field: A canonical reversible operator arising from curvature, 2026. URL https://doi.org/10.5281/zenodo.18219057. 12 January 2026. Reference link

[19] Jeremy Rodgers. Shadow theory: The framework, 2026. URL https://www. everythingequation.com/framework. Accessed 2 November 2026. Reference link

[20] Jeremy Rodgers. Observable quotients and exact projected dynamics: Closure, memory, minimal dynamical completion, and effective field operators, 2026. URL https://www.everythingequation.com/source-readout/observable-quotients-and-exact-projected-dynamics. 15 July 2026. DOI: 10.5281/zenodo.21371251. Accessed 2 November 2026. Reference link

[21] Jeremy Rodgers. A source-to-readout architecture for a theory of everything: Sector physics as coupled projections from a common realization carrier, 2026. URL https://www.everythingequation.com/monograph. Version 1.0, July 2026. DOI: 10.5281/zenodo.21366204. Accessed 2 November 2026. Reference link

[22] Jeremy Rodgers. Source-readout non-equivalence: Descent and equivariant reconstruction obstructions, 2026. URL https://doi.org/10.5281/zenodo.21369967. Reference link

[23] Jeremy Rodgers. Cross-domain spectral ratio structure: Refined recurrence, robustness and diagnostic limits, 2026. Manuscript, 2 November 2026. Reserved DOI: 10.5281/zenodo.23888292. Reference link

[24] Barry Simon. Trace Ideals and Their Applications, volume 120 of Mathematical Surveys and Monographs. American Mathematical Society, second edition, 2005. doi: 10.1090/surv/120. Reference link

[25] Leo C. Stein. qnm: A Python package for calculating Kerr quasinormal modes, separation constants, and spherical-spheroidal mixing coefficients. Journal of Open Source Software, 4(42):1683, 2019. doi: 10.21105/joss.01683.

[26] Wonjoo Suh, Zheng Wang, and Shanhui Fan. Temporal coupled-mode theory and the presence of non-orthogonal modes in lossless multimode cavities. IEEE Journal of Quantum Electronics, 40(10):1511-1518, 2004. doi: 10.1109/JQE.2004.834773. URL https://web.stanford.edu/group/fan/publication/Suh_IEEEJQE_40_1511_2004.pdf.

[27] Edward Witten. APS medal for exceptional achievement in research: Invited article on entanglement properties of quantum field theory. Reviews of Modern Physics, 90:045003, 2018. doi: 10.1103/RevModPhys.90.045003. URL https://arxiv.org/abs/1803.04993.