What it may mean is that your process is not inflammatory and not dependent on acid/base issues.

The AlkaSeltzer response is pretty localized to specific chemical triggers.

If your burning is localized to only your palms? Try Biofreeze and see if that works. Localized burning in small areas (as opposed to all over), can be managed with the menthol in Biofreeze.

The palms, are they the only place you have burning?

Burning palms suggests something you come in contact with (soaps, degreasers, solvents).
Do you have redness, or peeling skin there too?
Red palms can also be a sign of liver problems.