My hands and feet are nearly always cold. Maui, sunny day sitting on the beach, cold feet. My hands never look quite as radical as yours, but the dermatologist says it's Raynaud. When I have to handle frozen food or whatever it literally hurts in my chest. Kind of a lot. Do you get that too? ... Weird how I sometimes forget to ask the internet about this stuff but I just googled and apparently chest pain isn't uncommon.
Chest hurting sounds bad. Not a Dr but have Reynaud's exacerbated by ADHD meds and haven't experienced chest pain. Are you sure it directly follows handling frozen food etc? Could be related or coincidental - so many things can cause chest pain, from harmless but temporarily hurty intercostal pain all the way to cardiac arrest. Other details (weight, age, genetic history, other medications/treatments, smoking/drinking/substance status) also matter so it's worth bringing up with your doctor, unless you're in America in which case just ask ChatGPT.
How strange. Neurological? I have no idea, but hand warmers may help in the meantime! I'd be interested to know if anyone could please recommend a good heated mouse or mousepad when the extremities get cold working in the officd?