## 1 Introduction  
As a specialized configuration for longwall mining roadways, gob-side excavation technology significantly enhances coal recovery efficiency while resolving mining sequence coordination challenges, thereby constituting a pivotal technique for sustainable coal extraction [1, 2, 3]. Nevertheless, progressive increases in operational depth and accelerated mining cycles intensify stress field complexity during gob-side roadway development [4, 5, 6]. This geological evolution necessitates excavating lower sublevel working face roadways prior to complete extraction of adjacent panels. Crucially, dynamic stress interactions from neighboring mining operations substantially compromise the integrity of gob-proximate roadway surrounding rock masses. Extensive investigations by Chinese researchers have focused on mining-induced disturbances from adjacent working faces to gob-side roadways. [PERSON] et al. systematically analyzed dynamic pressure evolution during fracturing, rotational displacement, and stabilization of lateral roof structures in small-coal-pillar gob-side roadways adjacent to advancing faces. Their work established a pretension-coupled reinforcement methodology integrating bolt-cable synergy [7]. Concurrently, [PERSON] et al. quantified time-dependent strata movement effects on roadway deformation under progressive mining conditions, developing adaptive cross-sectional control strategies through mechanical-temporal coupling models [8]. [PERSON] et al. investigated stress distribution and failure mechanisms in roof structures of adjacent gob-side roadways, developing a dynamic mechanical model that identifies the roof center as the critical support area [9]. [PERSON] et al. developed a methodological framework for optimizing coal pillar dimensions in gob-side roadways adjacent to advancing faces, establishing integrated control strategies for pillar-roof synergistic stabilization [10]. [PERSON] et al. characterized the full-cycle stress redistribution patterns within thick-seam deep mining environments, deriving critical thresholds for pillar width determination through elastoplastic mechanical modeling [11]. [PERSON] et al. formulated spatiotemporal coordination criteria for parallel roadway development and adjacent mining operations, specifying the following: 1 minimum 136 m separation distance with \(\geq\)36-day interval for codirectional excavation; and 2 \(<\)50 m overlap distance when opposing excavation-mining directions cross the stopping line [12]. Regarding surrounding rock control, [PERSON] simulated roadway stability near advancing faces and designed a support scheme that effectively mitigates deformation [13]. [PERSON] et al. emphasized spatiotemporal coordination as key to managing roadways adjacent to active mining fronts, advocating reinforced roof-pillar systems and initial stabilization measures [14]. Extensive investigations have focused on stress disturbance mechanisms and mitigation strategies for narrow-pillar gob-side roadways under proximal working face mining, establishing critical theoretical frameworks for managing complex surrounding rock conditions. In contrast, the stress transfer patterns and dynamic responses of small-coal-pillar roadways subjected to remote panel mining remain understudied, posing significant knowledge gaps in deep mining geomechanics. This study aims to clarify the mechanism of transferring pressure across goat in distant mining conditions and propose stability control strategies for gob-side roadways with narrow pillars. Aligned with China's 'Guidelines for Safe and Efficient Coal Mining' and the national 'Dual Carbon' goals, this research addresses critical challenges in reducing coal pillar waste and minimizing ground subsidence. By optimizing pillar design and support systems, it contributes to sustainable resource utilization and environmentally responsible mining practices.