Exploring the Physicality of Physical Units in a One-Dimensional Universe

The dimensionality of the physical units as seen by an observer only capable of observations along the momentum axis is investigated. The units fall into seven groups characterized in terms of their ’frame signature’, mainly interpreted as non-locality and/or impact. For example, momentum, power, resistance, magnetic charge, and electric potential are related and have a direct impact on the local observer. In contrast, time, charge, and mass are distributed and non-local. Energy squared is equivalent in frame signature of three local dimensions and may be factorized out to indicate which units may be seen in a 3-dimensional material world by the local quantum observer. In conclusion, the local quantum observer who is engaged in a measuring process over an interval of time has a more stringent and profound conceptual basis of the physical units than a classical observer interpreting distant processes occurring on a time axis.