"Isn't romance high-entropy?"
Riku suddenly said.
"What do you mean?" Yuki asked back.
"It's unpredictable. You don't know what happens next."
Aoi laughed. "True. Romance might be a high-entropy system."
"Entropy?"
"A measure of uncertainty. H(X) = -Σ p(x) log p(x)."
Yuki thought. "What happens when it's high?"
"Prediction becomes difficult. Like rolling dice."
"When low, it's mostly certain."
Riku gave an example. "Then the process from one-sided love to mutual love?"
"A process of decreasing entropy."
Aoi explained. "Initially, you don't know the other's feelings at all. High entropy."
"But through dates and conversations, you can read their reactions."
"You gain information and uncertainty decreases."
Yuki asked. "Then when you completely understand their feelings, entropy is zero?"
"Theoretically. But humans are complex, so it never reaches absolute zero."
"A little uncertainty always remains."
Riku pondered. "But if entropy is too low, isn't it boring?"
"Sharp observation."
Aoi continued. "Completely predictable relationships have little stimulation."
"No surprises. No amazement."
"Information content approaches zero."
Yuki wrote in her notes. "Then moderate uncertainty is necessary?"
"Right. It's about balancing entropy."
"Tradeoff between stability and freshness."
Riku laughed. "I'm a high-entropy person, so maybe I'm suited for romance?"
"No, that's just chaos," Aoi countered.
"Without moderate predictability, trust can't be built."
Yuki supplemented. "If completely random, patterns can't be learned."
"Right. In machine learning too, learning is impossible without regularities in data."
"Romance is the same. Some consistency is needed."
Aoi presented a new perspective. "Entropy is also the expected value of surprise."
"On average, how much you'll be surprised."
Riku asked. "So high-entropy romance is thrilling?"
"Probably. Because you don't know what happens next."
"But stress is also high."
Yuki gave an example. "Like a roller coaster."
"Thrilling but exhausting daily."
Aoi nodded. "For long-term relationships, lower entropy is more stable."
"Predictability creates security."
Riku suddenly got serious. "Then is the ideal romance optimizing entropy?"
"Interesting view."
Aoi thought. "Initially high entropy for excitement. Gradually decreases to stability."
"Entropy decreases over time."
Yuki asked. "But if it decreases too much, doesn't it get stale?"
"Right. So you need to occasionally raise entropy."
"Surprise dates, new hobbies, travel."
Riku understood. "Entropy management is key to maintaining relationships."
"Information theoretically, yes."
Aoi supplemented. "But this is theory. Real romance is more complex."
"Emotions, timing, compatibility. Can't be explained by formulas alone."
Yuki summarized. "But it's interesting as a way of thinking."
"Capturing romance through entropy."
Riku laughed. "High-entropy love theory. Sounds like a title."
"Very you."
Aoi looked out the window. "The world increases in entropy."
"Second law of thermodynamics."
"But locally, it can be decreased."
Yuki continued. "Building relationships, mutual understanding."
"That might be endeavors to reduce entropy."
Riku nodded. "That's why people make efforts."
"Fighting uncertainty while enjoying uncertainty."
"That might be the essence of romance."
The three laughed.
The high-entropy love theory seemed far from over.