^^ [[Schutz - 2 - Differentiable Manifolds and Tensors|2. Differentiable Manifolds and Tensors]] <<[[Schutz - 2.9 - Fiber Bundles|2.9 Fiber Bundles]] | [[Schutz - 2.12 - Vector Fields and Integral Curves 1|2.12 Vector Fields and Integral Curves]]>> # Examples of Fiber Bundles Newtonian mechanics can be formulated on a fiber bundle, whose base manifold is time $\mathbb{R}^1$ and whose fibers are Euclidean 3-space $\mathbb{R}^3$. This is because time is absolute: everyone can agree what events are simultaneous no matter where they occur in the fiber $\mathbb{R}^3$. There is no natural relation between points at different fibers (i.e. at different times). ![[Pasted image 20210126121230.png]]