Exponentially Nothing and Exponentially Everything


Consider a wavy, two-dimensional surface,
with many different spheres glued to its purpose
—one sphere at each surface point,
and each sphere attached by another joint.


This geometric construction is a fiber bundle,
with the spheres as the “fibers,” and the wavy surface as the “base.”
This is what holds everything you know to be in place.
A sphere can be rotated in three-dimensional space:


around the x-axis, the y-axis, or around the z-axis.
Each of these rotations corresponds to a symmetry
the fiber bundle connection is a field describing
how spheres at nearby surface points are colliding.


The geometry of the fiber bundle is described by
the curvature of these infinite connections.
In the corresponding quantum field theory,
these particles interact according to YOUR queries.

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