A blind (but hearing) cosmologist observed the radiation-dominated universe. He detected faint tones and noted that their

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A blind (but hearing) cosmologist observed the radiation-dominated universe. He detected faint tones and noted that their frequencies declined as t−1/2 and believed (correctly) that the sound speed is constant. As he was blind, he knew nothing of photons but did understand classical scalar field theory. What did he conclude about V(φ)?

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