Emerging Singularities: When Mathematics Unveils the Hidden
Vega, Luis (1); Fanelli, Luca (2)
- Publication year:
- 2025
- Publication place:
- Donostia
- Characteristics:
- BIBLID [0212-7016; eISSN: 2953-4180 (2025), 70, 2]. - Recep.: 16-09-2025; Acep.: 24-12-2025
- ISSN:
- 0212-7016; eISSN: 2953-4180
Summary
We explore how rigorous mathematics transforms paradoxes into insight. Through examples, like string vibrations and Fourier series, shock formation in fluid dynamics, Weierstrass’ nowhere- differentiable function, and Ramanujan’s divergent sums, we show how smooth beginnings produce singularities. Mathematics thus reveals hidden structures, turning contradictions into co- herent frameworks for understanding nature’s complexity.
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