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To achieve its design luminosity of $1 \times 10^{35} \text{cm}^{-2}\text{s}^{-1}$, the Super Tau-Charm Facility (STCF) currently under design in China employs the crab-waist collision scheme with an ultra-low $\beta_y^*$. While this configuration enables a beam-beam parameter of $\xi_y \sim 0.1$, it also increases sensitivity of luminosity to beam-beam effects and their interplay with additional physics processes. This paper presents beam-beam simulation studies that include several selected multi-physics effects, such as lattice nonlinearities, wakefields, and space-charge forces, to evaluate their impact on the luminosity performance of the STCF collider. A GPU-accelerated strong-strong simulation framework is
employed to incorporate these effects in a self-consistent manner. Preliminary results indicate that key parameters, including $\beta_x^*$ and the synchrotron tune $\nu_s$, must be carefully optimized to improve the tolerance to these multi-physics effects. The study also highlights the importance of appropriate working-point selection to suppress detrimental beam instabilities and maintain stable collisions.
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