This article presents a study on the signatures of a surface spin–orbital chiral metal, focusing on the detection of chiral electronic ordering in the quantum material Sr₂RuO₄. The research develops a theoretical framework for symmetry-broken chiral ground states and proposes a methodology using circularly polarized, spin-selective, angular-resolved photoelectron spectroscopy (CP-spin-ARPES) to investigate these states. The study reveals spectroscopic signatures that are consistent with the formation of spin–orbital chiral currents at the surface of Sr₂RuO₄. The paper discusses the relationship between crystal symmetries, electron correlations, and electronic structure in the formation of unconventional phases of matter, including chiral magnetism. It highlights the challenges in detecting chiral electronic ordering experimentally and the importance of understanding such phenomena in condensed-matter physics. The study emphasizes the role of spin and orbital angular momentum in generating chiral currents and their implications for unconventional magnetism. The research uses Sr₂RuO₄ as a model system to explore the spin–orbital textures of electronic states and their connection to chiral electronic ordering. The findings demonstrate that chiral orders are imprinted on the spin and orbital textures of electronic states near the Fermi level. The study also shows that the spin and orbital angular momentum can lead to the formation of spin–orbital quadrupole currents, which break time-reversal symmetry. The paper presents experimental results using CP-spin-ARPES, which reveal asymmetries in the spin-orbital currents and provide evidence for the presence of chiral electronic ordering. The results are supported by theoretical models that describe the behavior of spin and orbital angular momentum in chiral states. The study also discusses the implications of these findings for understanding unconventional magnetism and the potential for detecting symmetry-broken chiral states in other materials. The research contributes to the broader understanding of chiral electronic ordering and its role in unconventional magnetism. It provides a methodology for probing such states and highlights the importance of spin and orbital degrees of freedom in determining the electronic structure of materials. The findings have implications for the development of new materials with unique electronic and magnetic properties.This article presents a study on the signatures of a surface spin–orbital chiral metal, focusing on the detection of chiral electronic ordering in the quantum material Sr₂RuO₄. The research develops a theoretical framework for symmetry-broken chiral ground states and proposes a methodology using circularly polarized, spin-selective, angular-resolved photoelectron spectroscopy (CP-spin-ARPES) to investigate these states. The study reveals spectroscopic signatures that are consistent with the formation of spin–orbital chiral currents at the surface of Sr₂RuO₄. The paper discusses the relationship between crystal symmetries, electron correlations, and electronic structure in the formation of unconventional phases of matter, including chiral magnetism. It highlights the challenges in detecting chiral electronic ordering experimentally and the importance of understanding such phenomena in condensed-matter physics. The study emphasizes the role of spin and orbital angular momentum in generating chiral currents and their implications for unconventional magnetism. The research uses Sr₂RuO₄ as a model system to explore the spin–orbital textures of electronic states and their connection to chiral electronic ordering. The findings demonstrate that chiral orders are imprinted on the spin and orbital textures of electronic states near the Fermi level. The study also shows that the spin and orbital angular momentum can lead to the formation of spin–orbital quadrupole currents, which break time-reversal symmetry. The paper presents experimental results using CP-spin-ARPES, which reveal asymmetries in the spin-orbital currents and provide evidence for the presence of chiral electronic ordering. The results are supported by theoretical models that describe the behavior of spin and orbital angular momentum in chiral states. The study also discusses the implications of these findings for understanding unconventional magnetism and the potential for detecting symmetry-broken chiral states in other materials. The research contributes to the broader understanding of chiral electronic ordering and its role in unconventional magnetism. It provides a methodology for probing such states and highlights the importance of spin and orbital degrees of freedom in determining the electronic structure of materials. The findings have implications for the development of new materials with unique electronic and magnetic properties.