Papers & Citations

All publications are authored by Sethurathienam Iyer — ORCID: 0009-0008-5446-2856.

ShunyaBar Publications#

Year	Project	Article
2025	Casimir SAT	Solving SAT with Quantum Vacuum Dynamics
2025	Spectral-Multiplicative	Spectral-Multiplicative Optimization Framework
2025	ShunyaBar	ShunyaBar: Spectral-Arithmetic Phase Transitions
2026	BAHA	Multiplicative Calculus for Hardness Detection
2026	NitroSAT	NitroSAT: A Physics-Informed MaxSAT Solver
2026	Emergent Stochasticity	Emergent Stochasticity from Serialized Concurrency
2025	Multiplicative PINN	Multiplicative PINN Framework

Kirkpatrick, Gelatt & Vecchi (1983). “Optimization by Simulated Annealing”. Science, 220(4598), 671-680.
- Original simulated annealing — BAHA builds on this
Parisi, G. (1979). “Infinite Number of Order Parameters for Spin-Glasses”. Physical Review Letters, 43(23), 1754-1756.
- Replica method for analyzing random constraint problems
Mezard, Parisi, & Zecchina (2002). “Analytic and Algorithmic Solution of Random Satisfiability Problems”. Science, 297(5582), 812-815.
- Analytic solution of random SAT — connection to phase transitions
Monasson, Zecchina, Kirkpatrick, Selman, & Troyansky (1999). “Determining Computational Complexity from Characteristic ‘Phase Transitions’”. Nature, 400, 133-137.
- Phase transitions as complexity landmarks

Corless, Gonnet, Hare, Jeffrey, & Knuth (1996). “On the Lambert W Function”. Advances in Computational Mathematics, 5, 329-359.
- Definitive reference for Lambert W properties

Sherrington & Kirkpatrick (1975). “Solvable Model of a Spin-Glass”. Physical Review Letters, 35, 1792-1796.
- Solvable mean-field spin glass

Mezard & Montanari (2009). Information, Physics, and Computation. Oxford University Press.
- Message-passing algorithms, constraint satisfaction
Zdeborova & Krzakala (2016). “Statistical Physics of Inference: Thresholds and Algorithms”. Advances in Physics, 65(5), 453-552.
- Modern statistical physics approach to inference

Casimir, H. B. G. (1948). “On the Attraction Between Two Perfectly Conducting Plates”. Indagationes Mathematicae, 10, 261-263.
- Original Casimir effect paper
Gros, C. (2009). Complex and Adaptive Dynamical Systems. Springer.
- Thermodynamics of optimization

Titchmarsh, E. C. (1986). The Theory of the Riemann Zeta-Function. Oxford University Press.
Edwards, H. M. (1974). Riemann’s Zeta Function. Academic Press.

Gouvea, F. Q. (2012). p-adic Numbers: An Introduction. Springer.
Mahler, K. (1981). p-adic Numbers and their Functions. Cambridge University Press.

Ding, Pei, & Salomaa (1996). Chinese Remainder Theorem: Applications in Computing, Coding, Cryptography. World Scientific.
Garner, H. I. (1959). “The Residue Number System”. IRE Transactions on Electronic Computers, EC-8(2), 140-147.

Edelsbrunner & Harer (2008). “Persistent Homology: A Survey”. Contemporary Mathematics, 453.
Zomorodian & Carlsson (2005). “Computing Persistent Homology”. Discrete & Computational Geometry, 33(2), 249-274.