What If the Constants Cannot Really Vary Independently?
Fine-tuning examples are sometimes presented by changing one physical parameter while holding everything else fixed. But a deeper physical theory might connect parameters that presently appear independent.
Changing one quantity might therefore require other quantities to change with it.
Why This Matters
This matters because coordinated changes can sometimes preserve stars, nuclei, or other important structures even when changing one parameter by itself would appear disastrous.
Response
This objection is supported by studies of alternative parameter spaces. Researchers have found viable combinations outside the exact values observed in our universe.
For that reason, the strongest fine-tuning investigation should examine combinations of parameters rather than assuming that every constant can be varied independently while everything else remains fixed.
At the same time, finding alternative viable combinations does not show that every combination works. The scientific question becomes the size and structure of the complete life-permitting region.
Question That Remains
Will a deeper theory reveal that apparently independent constants are connected, and if so, will those connections enlarge or further restrict the range of physically possible life-permitting universes?