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The discovery of a new physical process in manganese metal is reported. This process will also be present for all manganese‐containing materials in condensed matter. The process was discovered by applying our new technique of XR‐HERFD (extended‐range high‐energy‐resolution fluorescence detection), which was developed from the popular high‐resolution RIXS (resonant inelastic X‐ray scattering) and HERFD approaches. The acquired data are accurate to many hundreds of standard deviations beyond what is regarded as the criterion for `discovery'. Identification and characterization of many‐body processes can shed light on the X‐ray absorption fine‐structure spectra and inform the scientist on how to interpret them, hence leading to the ability to measure the dynamical nanostructures which are observable using the XR‐HERFD method. Although the many‐body reduction factor has been used universally in X‐ray absorption spectroscopy in analysis over the past 30 years (thousands of papers per year), this experimental result proves that many‐body effects are not representable by any constant reduction factor parameter. This paradigm change will provide the foundation for many future studies and X‐ray spectroscopy. A new physical process in manganese, present for manganese‐containing materials and materials science, has been discovered by applying our new technique – XR‐HERFD (extended‐range high‐energy‐resolution fluorescence detection) – developed from high‐resolution RIXS (resonant inelastic X‐ray scattering) and HERFD (high‐energy‐resolution fluorescence detection).

This study of manganese (Mn, Z = 25) introduces a novel combination of extended‐range high energy resolution fluorescence detection (XR‐HERFD), multiple‐crystal spectrometers and advanced binary data splicing techniques to address challenges in X‐ray emission spectroscopy. XR‐HERFD enhances spectral precision by utilizing high‐resolution crystal analysers and optimized detector configurations. The systematic application of these methods using multiple Bragg crystal analysers at Diamond Light Source has led to substantial improvements in data quality. Simultaneously, advanced binary data splicing integrates multiple datasets to correct distortions and improve resolution, resulting in sharper spectral features. Our results show a significant increase in peak counts and a notable reduction in full width at half‐maximum (FWHM), with peak amplitudes increasing by 83% and resolution improving by 46%. These developments provide greater detail for X‐ray absorption or emission spectra, offering valuable insights into complex materials, and permitting advances and breakthroughs in atomic relativistic quantum mechanics, chemical sensitivity of atomic transitions and modelling of solid‐state effects. A robust integration is introduced of the extended‐range high energy resolution fluorescence detection technique, multiple‐crystal spectrometers and binary data splicing techniques for the further refinement of spectra in X‐ray emission spectroscopy, revealing deeper insights into material properties and atomic transitions.

We report the first experimental discovery of Hidden Satellites within the K emission lines of manganese metal (Mn, ) with a total integrated statistical significance exceeding 270  (standard error), far beyond the discovery threshold. Experimental data were collected at the I20-Scanning beamline at the Diamond Light Source using our new eXtended-Range High-Energy-Resolution Fluorescence Detection (XR-HERFD) technique. The Hidden Satellites, embedded in the core emission structure, represent novel quantum many-body processes that evolve systematically as the incident photon energy increases. Principal Component Analysis (PCA) was applied to extract the major separable physical processes and validate the significance of the observed Hidden Satellites. The application of physical insight to the PCA method allowed us to isolate the satellites, and measure the evolutionary profile. Our paper reveals that the total intensity of shake-off satellites can reach as high as 20–25%. Although these are hidden, they are very significant. These results directly challenge the traditional treatment of the many-body reduction factor, , as a constant in the standard XAFS equation. Our findings demonstrate that this term must be modelled as an energy-dependent function, reflecting its variation with incident photon energy and highlighting its role in many-body interactions. This deeper understanding of fundamental atomic processes directly impacts relativistic quantum mechanics, in theory and application. Also, this develops the two most popular experimental techniques at synchrotrons: X-ray absorption and X-ray emission spectroscopy, responsible for some 12,000 papers per annum, and all applications of these techniques in chemistry, physics, and biology. It offers insights into the evolution of satellites and underscores the broader implications of hidden features in X-ray spectra.

We report the first experimental discovery of Hidden Satellites within the K[Formula: see text] emission lines of manganese metal (Mn, [Formula: see text]) with a total integrated statistical significance exceeding 270 [Formula: see text](standard error), far beyond the discovery threshold. Experimental data were collected at the I20-Scanning beamline at the Diamond Light Source using our new eXtended-Range High-Energy-Resolution Fluorescence Detection (XR-HERFD) technique. The Hidden Satellites, embedded in the core emission structure, represent novel quantum many-body processes that evolve systematically as the incident photon energy increases. Principal Component Analysis (PCA) was applied to extract the major separable physical processes and validate the significance of the observed Hidden Satellites. The application of physical insight to the PCA method allowed us to isolate the satellites, and measure the evolutionary profile. Our paper reveals that the total intensity of shake-off satellites can reach as high as 20-25%. Although these are hidden, they are very significant. These results directly challenge the traditional treatment of the many-body reduction factor, [Formula: see text], as a constant in the standard XAFS equation. Our findings demonstrate that this term must be modelled as an energy-dependent function, reflecting its variation with incident photon energy and highlighting its role in many-body interactions. This deeper understanding of fundamental atomic processes directly impacts relativistic quantum mechanics, in theory and application. Also, this develops the two most popular experimental techniques at synchrotrons: X-ray absorption and X-ray emission spectroscopy, responsible for some 12,000 papers per annum, and all applications of these techniques in chemistry, physics, and biology. It offers insights into the evolution of satellites and underscores the broader implications of hidden features in X-ray spectra.