Recent content by ricco
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Graduate Mathematical Connection between Cosmic Expansion and Exponential Growth
I understand that not everything grows exponentially, and I am not claiming that it does. My question is whether systems that do exhibit exponential growth might share a deeper structural cause, rather than this being purely coincidental. That’s why I’m asking for existing...- ricco
- Post #21
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Mathematical Connection between Cosmic Expansion and Exponential Growth
I see your point, and I fully agree that exponential growth naturally arises when a variable’s rate of change is proportional to itself. However, that alone doesn’t fully address the question I’m exploring. I'm not just asking why exponential growth appears—that part is well understood...- ricco
- Post #20
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Mathematical Connection between Cosmic Expansion and Exponential Growth
I see your point, but I think you might be misinterpreting the nature of my question. I’m not claiming that the universe "should" behave like biological systems, nor am I suggesting a metaphysical explanation. Rather, I’m questioning whether the similarity in how exponential growth manifests...- ricco
- Post #19
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Mathematical Connection between Cosmic Expansion and Exponential Growth
I see your point about avoiding a confusion between correlation and causation. My goal isn’t to claim a direct cause, but rather to explore whether there might be a deeper structural relationship between different types of exponential growth—one that isn’t just coincidental. You mentioned that...- ricco
- Post #15
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Mathematical Connection between Cosmic Expansion and Exponential Growth
I see your point about how the eigenvalue equation ## D(y) = y ## plays a fundamental role in describing nature, but I think there's a slight distinction in what I'm exploring. My question isn't just about shared mathematical structures across different fields, but whether these structures...- ricco
- Post #13
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Mathematical Connection between Cosmic Expansion and Exponential Growth
I see your point, and I appreciate the emphasis on correctly defining processes before making connections. I’m not suggesting that just because two systems follow an exponential law, they must be causally linked. But what I’m questioning is whether there could be a deeper structural reason why...- ricco
- Post #12
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Mathematical Connection between Cosmic Expansion and Exponential Growth
I appreciate your honesty, but dismissing it as 'woo woo' without addressing the actual question seems unfair. I'm asking whether the similarity in exponential growth across domains is purely coincidental or rooted in a deeper mathematical principle. If you disagree, could you explain why?- ricco
- Post #8
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Mathematical Connection between Cosmic Expansion and Exponential Growth
Finding exponential behavior in nature is not surprising, and I completely agree that many systems follow the form ## y' \sim y ##. However, the real question is not whether exponential growth appears in different domains, but whether there is a deep, underlying principle connecting these...- ricco
- Post #7
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Mathematical Connection between Cosmic Expansion and Exponential Growth
I get where you're coming from, and I appreciate the caution against mistaking correlation for causation—it’s a trap that many fall into. But I think you might be slightly misinterpreting my intention. I’m not simply pointing at two trends that share a mathematical form and assuming a direct...- ricco
- Post #5
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Mathematical Connection between Cosmic Expansion and Exponential Growth
Hello everyone, I'm currently exploring the hypothesis that exponential growth might be a universal principle manifesting across different scales—from the cosmic expansion of the universe (e.g., characterized by the Hubble constant and driven by dark energy) to microscopic, technological...- ricco
- Thread
- Logic Mathematical modelling
- Replies: 24
- Forum: Set Theory, Logic, Probability, Statistics