Is there any way to stop a low-profile desk from racking back and forth?
The &quot;very minimalist look&quot; is a bit too minimalist for boring old function. You may regret &quot;living with it&quot; when it fails and a hunk of rock lands on your foot (or other body part), or someone else's.
Failure is very much an option. Fasteners can be ripped out pretty easily, and wood can fail when you have a long lever (legs) attached to them.
Adding a stretcher (compression brace) at or near floor level on the back side and X-Brace cables would still be quite minimalist, but far more functional. There are other ways to achieve the same end with various &quot;looks.&quot; Since you want &quot;double-sided access&quot; some sort of angle braces on the corners are one option, and longer center braces from the top to the &quot;foot cross bar&quot; are another option.
Making something that &quot;looked like this&quot; but which was &quot;actually stable&quot; would be quite a design project and probably involve welded steel and sneaky tricks like getting some depth of bracing hidden within the depth of the table-top. You can rip welded steel apart with a lever-arm, too, if it's not well designed.
Unless the top is very low, an apron (not a terribly wide one) is in fact a very normal approach to this issue for tables, and it will be designed to let your legs slide right under it. Here you could use a curved apron with more depth (and thus better bracing) at the ends if the intent is to sit &quot;in the middle&quot; of each side, rather than &quot;all around&quot; as with the typical dining room table that typically has an apron for exactly this purpose.