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Aman Sahani
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Aman Sahani
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Blog & Research

Blog & Research

Rigorous technical research across Technology, Mathematics, Physics, Philosophy, Law, and Finance.

Physics
Simulating Chaotic Dynamical Systems & N-Body Orbits with Runge-Kutta Methods
Physics10 min read

Simulating Chaotic Dynamical Systems & N-Body Orbits with Runge-Kutta Methods

Phase-space analysis, Lyapunov exponents, and numerical integration techniques for non-linear physical equations on ARM64.

Accounting
Computational Accounting: Immutable Double-Entry Ledgers and Merkle Proofs
Accounting9 min read

Computational Accounting: Immutable Double-Entry Ledgers and Merkle Proofs

Designing tamper-evident auditing systems, mathematical invariants in accounting equations, and verifiable journal entries.

Finance
Market Microstructure & Limit Order Book Matching in Quantitative Finance
Finance13 min read

Market Microstructure & Limit Order Book Matching in Quantitative Finance

Building price-time priority matching algorithms, FIFO queues, and stochastic jump-diffusion modeling for asset pricing.

Law
Smart Contracts Under Common Law: Code-is-Law Limits & Digital Jurisprudence
Law10 min read

Smart Contracts Under Common Law: Code-is-Law Limits & Digital Jurisprudence

Analyzing offer, acceptance, unilateral mistake, and regulatory liability in decentralized protocol executions.

Philosophy
The Thermodynamics of Computation: Landauer's Limit, Entropy, and Mind
Philosophy11 min read

The Thermodynamics of Computation: Landauer's Limit, Entropy, and Mind

Exploring information entropy, reversibility in physical computation, and philosophical implications for artificial consciousness.

Code
Zero-Allocation Go: High-Throughput Microservice Architecture with Fiber
Code9 min read

Zero-Allocation Go: High-Throughput Microservice Architecture with Fiber

Memory buffer pooling, fasthttp internals, and lock-free concurrency patterns for squeezing 150,000 req/sec out of 2 CPU cores.

Maths
Eigenvalues, SVD, and High-Dimensional Vector Spaces in Machine Learning
Maths12 min read

Eigenvalues, SVD, and High-Dimensional Vector Spaces in Machine Learning

A rigorous geometric and algebraic derivation of spectral decomposition, Principal Component Analysis, and vector embeddings in AI.

IoT
Architecting a Resilient IoT Telemetry Pipeline on 2-Core Cloud Compute
IoT8 min read

Architecting a Resilient IoT Telemetry Pipeline on 2-Core Cloud Compute

High-throughput MQTT ingestion, memory-bounded queuing, and time-partitioned database design for resource-constrained edge environments.