What credence is there to associating the Trinity with a triadic model of semiotics

Let me know if this is off-topic, as it veers into a different field. I have myself been thinking about an equivocation between the Trinity and a triadic model of semiotics, and I believe I have seen mentions of it here and there. When I read certain sources on the Trinity, this seems to strengthen this kind of interpretation. Semiotics is the study of meaning. To be a Christian claiming the Trinity is somehow the epitome of, the sign of, or actually the manifestation of, the triadic semiotic structure of reality, would be an interesting form of idealism. But what is there to this? Well, the Son is sometimes called "the Word". Well, the Word would correspond to the signifier, I would say (the symbol or thing that signifies something else). The Father, being prior to all, would be the referent (that which the signifier signifies). The Holy Spirit would be the interpretant; the object allowing for the linking between one experience and another; the signifier linked to the referent, by way of the interpretant existing within the mind of the person experiencing the meaning. God is thus the entire sign; the co-existence between signifier, interpretant and referent; God is thus meaning itself. Well, that's one mapping between the three components of meaning and the three persons of the Trinity. Perhaps there are other mappings. But what credence is there to this interpretation among Christian scholars, mystics, theologians and scriptures?