Om Arora

I work at the intersection of theoretical physics, mathematics, and quantitative finance. I am currently in high school.

The common thread is similar structures — the kind that underlies gauge fields, limit order books, and formal proof alike. Fields change. That patience does not.

Outside the work: Dostoevsky and Tolstoy, Bach and Shostakovich, the history of empires, and the satisfaction of an elegant proof.

Work

Gauge-Invariant Mass Generation An extension of Yang–Mills theory via a group-valued Stueckelberg field. Full BRST quantisation, one-loop renormalisation in the MS scheme, and a first-principles approach to the mass gap. Asymptotic freedom is preserved throughout.

Defence Protocol Translation Middleware MIL-STD-1553B and STANAG 4586 do not speak to each other. Neither do the Tejas Mk.1A and the Rustom-2. I am building the translation layer — open, software-defined, and protocol-agnostic. The architecture reduces N×(N−1) point-to-point complexity to 2N. No dependency on Western proprietary hardware.

AI for Mathematics Olympiad The goal is formal proof and solutions — verified, symbolic reasoning at IMO level.

Quantitative Research Stochastic calculus applied to limit order book dynamics. Persistent homology as a lens on market microstructure. The constraint I hold: strategies must be mathematically rigorous before they are applied, even if they turn out to be successful.

Publications

“A Gauge-Invariant Stueckelberg Extension of Yang–Mills Theory” (here) Complete BRST-quantised action · Full Feynman rules including non-polynomial vertices · One-loop beta function · Asymptotic freedom preserved

“A Software-Defined Protocol Translation Architecture for Multi-Domain Defence Asset Integration” (Yet to be published) Five-component middleware architecture · Six-dimensional protocol gap analysis · Python implementation · Per-field audit logging

“Quantum Geometric Entanglement: A Unified Model for Emergence of Spacetime in Quantum Gravity” (here)

QGET framework · Entanglement correlations as geometric structure · Testable predictions for spacetime entanglement

“Yang-Mills Theory with A Scalar Field: A unified Model for Confinement and Mass Gap” (here)

Stueckelberg mechanism applied to Yang–Mills · Confinement force derived from flux tube formation · Mass gap from first principles

Interests

Theoretical Physics  ·  Quantitative Finance  ·  Mathematics  ·  Gauge Theory  ·  Quantum Gravity  ·  TDA

Philosophy  ·  Classical Music  ·  Astronomy  ·  History  ·  Literature  ·  Art

Education

High School  ·  2025–Present.
Adarsh Public School  ·  2018–2025.
St. Peter’s Public School  ·  2014–2018

Some ventures take years to become legible. I am comfortable with that.

Curriculum Vitae