It is a well-known fact that numerous issues in many fields of human endeavor including, but not limited to, science and engineering, medicine, law enforcement and security, economics and finance, governance, psychology, philosophy, religion, and many other fields require the management of arbitrary dimensional data. However, systems permitting direct and efficient management of arbitrary dimensional data currently do not exist. In fact, contemporary systems such as graphical user interfaces for the management of data typically lack even the very concept of arbitrary dimensionality – failing to provide any practical way or means of managing arbitrary dimensional data. Here, we establish the foundational principles for a system permitting practical, direct and efficient management of arbitrary dimensional data. Furthermore, we demonstrate the effectiveness of our system by applying it to an experiment involving eight-dimensional (8D) medical and scientific data sets. Our system has immediate, far-reaching implications for numerous fields of human endeavor – enabling hitherto impossible solutions and applications and leading to deeper insights and improved understanding of numerous issues.