In ZF, uncountable Hindman theorems fail for additive R and uncountable-dim Q-vector spaces (under DC if non-well-orderable); Owings configurations admit positive results under AD.
Fern´ andez-Bret´ on,Hindman’s theorem is only a countable phenomenon, Order35 (2018), no
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Hindman and Owings-like theorems without the Axiom of Choice
In ZF, uncountable Hindman theorems fail for additive R and uncountable-dim Q-vector spaces (under DC if non-well-orderable); Owings configurations admit positive results under AD.