Kant's thought experiment : is chirality a dimension?

Hello,
Consider as suggested by Kant, a universe containing only of ONE hand
and otherwise void. Since there is no intrinsic difference in shape
between a right and a left hand (there is no way that you could
describe the hand which would allow me to conclude if it is the right
or left hand), why is chirality (handedness, mirror image) not
considered to be an "extra" dimension in its own right in which case
space would be 4 dimensional (5 with time)?
Thank you very much in advance for your time and help,
jean

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