11 papers
Sensitivity of Standard Model Vacuum Stability to Enhanced Scalar Couplings: A Coupling Scan and its Implications for Radiatively Broken Electroweak Symmetry
Farrukh A. Chishtie, Sirous Homayouni
We study how Standard Model vacuum stability depends on the Higgs quartic coupling at the electroweak matching scale, parameterized through a dimensionless enhancement factor $k =…
Analytical transit light curves for arbitrary power-law limb darkening: a unified framework
Farrukh A. Chishtie, Mohammad I. Saeed, Shaukat N. Goderya
We present a unified analytical framework for computing exoplanet transit light curves under arbitrary real power-law limb darkening , , eliminating the two-…
Scale Factorized-Quantum Field Theory: Eliminating renormalization ambiguities in QCD and QED
Farrukh A. Chishtie
We introduce Scale Factorized-Quantum Field Theory (SF-QFT), a framework performing path-integral factorization of ultraviolet and infrared momentum modes at a physical scale …
Quaternion wavefunction theory bridges quantum formalism and classical fluid dynamics: a zero-parameter derivation of sphere drag
Farrukh A. Chishtie
We present a quaternion wavefunction formulation that reduces the incompressible Euler equations to a single nonlinear Schrödinger-type equation with a holomorphic constraint, rev…
Lambert W Function Framework for Graphene Nanoribbon Quantum Sensing: Theory, Verification, and Multi-Modal Applications
F. A. Chishtie, K. Roberts, N. Jisrawi +3
We establish a rigorous mathematical framework connecting graphene nanoribbon quantum sensing to the Lambert W function through the finite square well (FSW) analogy. The Lambert W…
BRST Symmetry Violation and Fundamental Limitations of Asymptotic Safety in Quantum Gravity
Farrukh A. Chishtie
The asymptotic safety program assumes that quantum gravity becomes renormalizable through ultraviolet fixed points in metric-based couplings. We demonstrate that this approach {enc…