{"product_id":"areax-hawkings-area-theorem-physics-t-shirt","title":"Areax – Hawking's Area Theorem Physics T-Shirt","description":"\u003cp\u003eTwo black holes merge into Areax, and her horizon-crown is bigger than both of theirs put together. It always is.\u003c\/p\u003e\u003ch3\u003eThe Physics\u003c\/h3\u003e\u003cp\u003eIn classical general relativity the total event-horizon area of black holes can never decrease. So when two black holes merge, the final horizon must be larger than the two original horizons combined, even though energy is radiated away as gravitational waves. For a spinning (Kerr) black hole the area depends on its mass and spin.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eA_final ≥ A₁ + A₂,   Kerr: A = 8π (GM\/c²)² (1 + √(1 − χ²))\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eA: horizon area (m²)\u003c\/li\u003e\n\u003cli\u003eG: gravitational constant (m³ kg⁻¹ s⁻²)\u003c\/li\u003e\n\u003cli\u003eM: black-hole mass (kg)\u003c\/li\u003e\n\u003cli\u003ec: speed of light (m\/s)\u003c\/li\u003e\n\u003cli\u003eχ: dimensionless spin, 0 to 1\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eStephen Hawking proved the theorem in 1971; the gravitational-wave event GW250114 (2025) found the final area larger than the initial area at 4.4σ in the collaboration's reference analysis (LIGO–Virgo–KAGRA, Phys. Rev. Lett. 135, 111403), a far stronger test than GW150914 (Isi et al. 2021).\u003c\/p\u003e\u003cp\u003e\u003cem\u003eHonest caveat:\u003c\/em\u003e It is a classical result: Hawking radiation lets black holes shrink, very slowly.\u003c\/p\u003e\u003ch3\u003eOn the shirt\u003c\/h3\u003e\u003cp\u003eFront: Areax, the pixel-art character, with the title. Back: both area equations, the GW150914 and GW250114 tests, the classical-only caveat and three sources. Printed on a unisex tee.\u003c\/p\u003e","brand":"Printify","offers":[{"title":"S \/ White","offer_id":50936673402983,"sku":"20970473684306416149","price":29.99,"currency_code":"USD","in_stock":true},{"title":"S \/ Black","offer_id":50936673435751,"sku":"29066290041688581260","price":29.99,"currency_code":"USD","in_stock":true},{"title":"M \/ White","offer_id":50936673468519,"sku":"41405893698825820306","price":29.99,"currency_code":"USD","in_stock":true},{"title":"M \/ Black","offer_id":50936673501287,"sku":"14834778262185482199","price":29.99,"currency_code":"USD","in_stock":true},{"title":"L \/ White","offer_id":50936673534055,"sku":"17094051276700067689","price":29.99,"currency_code":"USD","in_stock":true},{"title":"L \/ Black","offer_id":50936673566823,"sku":"20455143804625668477","price":29.99,"currency_code":"USD","in_stock":true},{"title":"XL \/ White","offer_id":50936673599591,"sku":"14975024118997035069","price":29.99,"currency_code":"USD","in_stock":true},{"title":"XL \/ Black","offer_id":50936673632359,"sku":"29968537869621874526","price":29.99,"currency_code":"USD","in_stock":true},{"title":"2XL \/ White","offer_id":50936673665127,"sku":"25139657174017516336","price":29.99,"currency_code":"USD","in_stock":true},{"title":"2XL \/ Black","offer_id":50936673697895,"sku":"29756074564608144431","price":29.99,"currency_code":"USD","in_stock":true},{"title":"3XL \/ White","offer_id":50936673730663,"sku":"10489181779121922554","price":29.99,"currency_code":"USD","in_stock":true},{"title":"3XL \/ Black","offer_id":50936673763431,"sku":"99512029742566548147","price":29.99,"currency_code":"USD","in_stock":true},{"title":"4XL \/ White","offer_id":50936673796199,"sku":"23235086671670424570","price":29.99,"currency_code":"USD","in_stock":true},{"title":"4XL \/ Black","offer_id":50936673828967,"sku":"97724962238247770520","price":29.99,"currency_code":"USD","in_stock":true},{"title":"5XL \/ White","offer_id":50936673861735,"sku":"79480603223444495394","price":29.99,"currency_code":"USD","in_stock":true},{"title":"5XL \/ Black","offer_id":50936673894503,"sku":"11383348970735453219","price":29.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/area-theorem_front_16_white.png?v=1793595876","url":"https:\/\/pixelatedphysics.com\/sv\/products\/areax-hawkings-area-theorem-physics-t-shirt","provider":"Pixelated Physics","version":"1.0","type":"link"}