Structure of spacetime at the microscopic scale

En résumé (grâce à un LLM libre auto-hébergé)

  • The article explores the structure of spacetime at the microscopic scale, assuming it is a continuum.
  • It presents geometric models such as the 'recta-hexagon' and surfaces that divide space into two equal volumes.
  • Analogies with physical objects and games, such as checkers, are used to illustrate these concepts.

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Structure of spacetime at the microscopic scale.

** **...We know nothing about the structure of spacetime at the microscopic scale. We simply assume it is a continuum (in technical terms, a differentiable manifold). We also assume that at every point the topology of space is hyperspherical. Yet, when we push spacetime to its limits, we encounter two barriers: the Planck length, 10⁻³³ cm, and the Planck time, 10⁻⁴³ seconds. Beyond these, nothing makes sense anymore.

...We can imagine all possible microscopic textures. Take, for example, a 3D space. We can divide it into two disjoint domains using the surface described below.

...You can construct it using flexible Bristol board strips measuring 10 cm by 1 cm, and a stapler. With this material