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Tweelingparadox

Tweelingparadox is the Dutch term for the twin paradox, a thought experiment in special relativity that illustrates time dilation and the relativity of simultaneity. The setup involves two twins: one stays on Earth while the other travels at relativistic speed to a distant location and then returns. In the Earth frame, the outbound and inbound journeys take time equal to distance divided by speed. The traveling twin’s clock, however, runs slower by the Lorentz factor γ = 1/√(1−v^2/c^2), so the traveling twin ages less over the round trip.

A simple illustration: if the destination is four light-years away and the ship travels at 0.8c, the

Resolution and interpretation rely on Minkowski spacetime: proper time along a worldline is the integral of

Earth
frame
measures
a
5-year
leg
for
each
direction,
for
a
total
of
10
years.
The
traveling
twin
experiences
τ
=
2×(5/γ)
years,
with
γ
≈
1.666,
giving
about
6
years
of
aging
for
the
traveler
versus
10
years
for
the
stay-at-home
twin.
The
apparent
paradox
arises
from
treating
the
situation
symmetrically,
but
the
traveling
twin
does
not
remain
in
a
single
inertial
frame:
during
acceleration
and
turnaround,
the
symmetry
is
broken,
and
different
sections
of
the
worldline
contribute
differently
to
proper
time.
dτ
=
dt/γ,
and
the
stationary
twin’s
worldline
is
longer
in
proper
time
than
the
traveling
twin’s.
The
paradox
has
been
discussed
since
Einstein’s
era
and
is
reinforced
by
real-world
confirmations
of
time
dilation,
such
as
precision
clock
experiments
and
particle
decay
observations.
The
Tweelingparadox
remains
a
standard
example
illustrating
counterintuitive
aspects
of
relativity.