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The Enigma of the Collatz Conjecture

The Enigma of the Collatz Conjecture

Paul Erdős famously remarked, “Mathematics may not be ready for such problems.” We are exploring its mathematical structure, historical and computational efforts, theoretical barriers, and connections to other domains like dynamical systems and computability theory.

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Is Spacetime Doomed?

Is Spacetime Doomed?

Exploring the Demise of Spacetime: Insights from Quantum Gravity, Holography, Post-Spacetime Models, and Foundational Philosophy—What’s Our Role as Observers?

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The Eternal Brotherhood of the Banana 🍌🍌🍌

The Eternal Brotherhood of the Banana 🍌🍌🍌

In some forgotten corner of the Pacific—beyond the reach of maritime charts and trade routes—there dwells a castaway who once believed he had discovered a treasure of final and absolute worth: a chest laden with gold and diamonds, presumably abandoned by fabled pirates. The metals and stones glow

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Agency is Testable, Not Assumed. Can it learn, Adapt, or Pursue Goals?

A reflection on Biologist Michael Levin ideas. What are we, really? link-> A reflection on Biologist Michael Levin ideas. What are we, really? Whether something (a hurricane, a galaxy, the universe) has agency isn’t a philosophical guess. It’s a question for experiments—can it learn, adapt, or

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