@alex0’s query proposal might be what you are looking for:
Generally, an SKOS relationships would be a superset of what you suggest, and would also be able to express things like relatedness:
One interesting problem with your suggestion is that it removes the distinction between tags (is an element of a category) and properties (is a subcategory of a category), you would express both as topic properties.
I think it would be cleaner to tag the page with #tension and specify that #tension is a subcategory of mechanics, which is a subcategory of physics. #tension might also be a subcategory of #mechanical_properties, which might be a subcategory of #materials_engineering.