How does the Triple Tau relate to the concept of the Trinity?

The Triple Tau was introduced to English Royal Arch Masonry in 1834, replacing an older monogram composed of the letter T over the letter H denoting Templum Hierosolymae, or the Temple at Jerusalem, as a paper read before Quatuor Coronati Lodge notes.

During the nineteenth century, the Duke of Sussex sought to lessen Christian elements, including explicit Trinitarian associations, within Royal Arch and Craft rituals, as research presented before Quatuor Coronati Lodge demonstrates. The introduction and framing of Royal Arch symbolism during this period were thus shaped by deliberate efforts to move away from specifically Christian doctrine in favor of a non-sectarian monotheistic focus.