Considerations on Mass Structure: A Framework for Mass Analysis via Axis Scale Values and Signed Areas

Key Points

• This analysis aims to constrain mass mapping functions related to particle classification using axis scale values and signed areas.
• Defined mass mapping functions f_m^rest and f_m^curv in relation to a 6-dimensional hypercube.
• Utilized axis scale values and signed areas for mass analysis of Standard Model particles.
• Establishment of a framework for analyzing mass hierarchies.
• Identification of necessary constraints for mass mapping functions.