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In standard model, the Fermi coupling constant, $G_F$, sets the strength ofelectroweak decay. We attempt an approach to constrain the temporal variationof the Fermi coupling constant $G_F$. To probe it, Type Ia supernovae (SNe Ia)light curves are being used as a source of reliable primordial nucleosynthesisevents across the redshifts. We utilized studies suggesting that in the initialphase after the SNe Ia explosion, the electroweak decay of $^{56}Ni \rightarrow^{56}Co \rightarrow ^{56}Fe$ is the key contributor to powering the SNe Ialight curve. We hence used the Pan-STARRS supernovae catalog having 1169supernovae light curves in $g$, $r$, $i$, and $z$ spectral filters. Thepost-peak decrease in the apparent magnitude of light curves (in the rest frameof SNe) was related to the electroweak decay rate of primordialnucleosynthesis. Further, the decay rate relates to $G_F$. To keep the analysisindependent of the cosmological model, we used the Hubble parameter measurementand a non-parametric statistical method, the Gaussian Process. Our studysuggests a small yet finite temporal variation of $G_F$ and puts a strong upperbound on the present value of the fractional change in the Fermi couplingconstant i.e; $\dfrac{\dot G_F}{G_F}\big\rvert_{z=0} \approx 10^{-11} yr^{-1}$using datasets spread over a redshift range $0<z<0.75$.

Examining Temporal Variation of the Fermi Coupling Constant using SNe Ia Light Curves