Hi,
You do not have to file a federal tax return if you only had social security income (and no other income sources). Whether or not you have to file a state return will depend upon your state.
While I find some support that you might be able to document the carryforward loss in future years without filing the intervening years, it would not be best practice in any case. I recommend you file taxes each year as a best practice to substantiate the carryforward loss. You can do so using IRS Free File software, since your income will be below the threshhold if it is only SS income.
This article also talks about the taxability of social security income in general.
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Best,
Karen
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