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What happens to time as you travel close to the speed of light?

What happens to time as you travel close to the speed of light?

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If somehow, a person is able to travel at the speed of light, it would seem that 'time' would not have progressed in comparison to your reference time once you returned to 'normal' speeds. This can be modeled by the Lorentz time dilation equation:

When traveling at the speed of light (v=c), left under the radical you would have 0. This answer would be undefined or infinity if you will (let's go with infinity). The reference time (T0) divided by zero would be infinity; therefore, you could infer that time is 'frozen' to an object traveling at the speed of light.

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