{"product_id":"umbrar-dark-matter-physics-mug","title":"Umbrar – Dark Matter Physics Mug","description":"\u003cp\u003eWhy don’t spinning galaxies fly apart? Umbrar is the unseen answer. For a circular orbit, v(r) = √(GM(r)\/r), so speeds should fall far from the centre. Vera Rubin and others measured flat rotation curves instead, implying extra mass we cannot see: dark matter. What it is remains unknown. Pixel-art black ceramic mug in 11 or 15 oz; equation, symbols and sources in the physics panel below.\u003c\/p\u003e","brand":"Printify","offers":[{"title":"11oz","offer_id":50420030570599,"sku":"21003532258102893946","price":21.99,"currency_code":"USD","in_stock":true},{"title":"15oz","offer_id":50420030603367,"sku":"11008545922732168379","price":23.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/umbrar_closeup_2400.png?v=1791690259","url":"https:\/\/pixelatedphysics.com\/products\/umbrar-dark-matter-physics-mug","provider":"Pixelated Physics","version":"1.0","type":"link"}