This paper explores the electromagnetic Penrose process and fundamental frequencies with Einstein-Euler-Heisenberg theory with including new dimensionless parameter $\beta$. This parameter was related to the fine structure constant $\alpha$ and the Schwinger critical field and the BH mass parameter ($M$). The results of our research showed that the energy efficiency in the electromagnetic Penrose process can reach $>100\%$ in some cases, it has 25% energy efficiency in the case when a falling particle has no charge. However, the Christodoulou-Ruffini-Hawking theory can limit these values. In all results, we observed a decrease in energy efficiency when the value of the parameter $\beta$ was increased. By checking how harmonic oscillations depend on $\beta$, we observed that horizontal oscillations decrease and vertical oscillations increase when we consider $\beta$. We plotted horizon, ISCO orbits, effective potential structures, extractable energy, conservation energy, and angular momentum with Keplerian frequency and quasiperiodic oscillations.

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• Alternative gravity theories