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Relativistic Time Dilation

Time dilation is the phenomenon of a slowing of time as measured by an observer who is traveling at any nonzero velocity relative to the object.

The time seen by a stationary observer equals the time in rest frame times a factor that decreases as the velocity approaches the speed of light.

Formula

QuantityVariable["t", "Time"] == QuantityVariable[Subscript["t", "0"], "Time"]/Sqrt[1 + Quantity[-1, "SpeedOfLight"^(-2)]*QuantityVariable["v", "Speed"]^2]

symbol description physical quantity
t time seen by stationary observer "Time"
v velocity "Speed"
t0 time in rest frame "Time"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Relativistic Time Dilation"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Relativistic Time Dilation"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Relativistic Time Dilation"], {QuantityVariable["v","Speed"] -> Quantity[3.`*^7, ("Meters")/("Seconds")], QuantityVariable[ \!\(\*SubscriptBox[\("t"\), \("0"\)]\),"Time"] -> Quantity[1, "Seconds"]}]
Out[3]=

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