Research & Publications
My academic work focuses on the rigorous application of mathematical models to physical and computational problems.
ORCID: 0009-0008-5715-6950A closed-loop energy conversion system based on differential buoyancy in immiscible fluids analyzed using classical mechanics, fluid dynamics, and electromagnetic induction. Demonstrates net work extraction proportional to maintained density gradient.
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Formal derivation of the multiplicative closure property within the GIG sequence. Establishes the Index Identity K = n + m - 6nm for translating products of GIG terms into composite indices, enabling primality testing through exclusion.
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A novel, compact, single-variable quadratic equation which deterministically generates every element of the set Seq = {n ∈ Z+ | gcd(n, 6) = 1}. This set contains all prime numbers greater than 3.
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