# When will the particle horizon reach its limit of 63 billion light years?

In the far future, the particle horizon will reach 63 Gly，so when will that time? Just like today's universe time is 13.82 Gyr and the particle horizon is 46.5 Gly, how many years will the particle horizon reach its limit, and we can no longer receive further light?

Is there a related calculation process or scale diagram about the observable universe radius and time?

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The distance to the particle horizon at time $$t$$ is $$\displaystyle \int_0^t \frac{c\,dt'}{a(t)}$$, and there are diagrams in many Physics SE questions that will show you the particle horizon distance as a function of time, such as this one:
Note that the top of the diagram is $$t=\infty$$.