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Examples

For 200 millennia, our species knew of only seven bodies routinely shuffling through the starfilled skies: the Sun, moon, and five, bright, pointlike objects with classy names from Roman mythology.
Seth Shostak: A Bucketful of Worlds Seth Shostak 2011

For 200 millennia, our species knew of only seven bodies routinely shuffling through the starfilled skies: the Sun, moon, and five, bright, pointlike objects with classy names from Roman mythology.
Seth Shostak: A Bucketful of Worlds Seth Shostak 2011

And this pointlike source creates a curvature in 3+1dimensional spacetime, which we experience as gravity.
Worldwide Campaign Sheds New Light on Nature's "LHC"  Universe Today 2010

It treats particles as pointlike objects, which often creates problems (like an infinitely strong electric field in the vicinity of a point charge).

If a black hole would only exists as a pointlike source without more then 1 dimension, how would this 1dimensional source produce 3 dimensional gravity?
Worldwide Campaign Sheds New Light on Nature's "LHC"  Universe Today 2010

If a black hole would only exists as a pointlike source without more then 1 dimension, how would this 1dimensional source produce 3 dimensional gravity?
Worldwide Campaign Sheds New Light on Nature's "LHC"  Universe Today 2010

The QFT is the mathematics of pointlike objects (particles) in a Euclidean or Minkwoski space.

An electron is as pointlike an object as can be: it has no internal structure as far as we know, except possibly on the Planck scale (for which you need string theory and that's again quantum mechanics).

Today's most popular theory is that the ultimate constituents of matter consist, not of pointlike particles, but of tiny vibrating strings.
Russell Stannard: The End Of Discovery: What Happens When Science Ends? Russell Stannard 2010

For example: In every experiment conducted so far, an electron always behaves as a pointlike object.
Worldwide Campaign Sheds New Light on Nature's "LHC"  Universe Today 2010
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