If a person is convinced you are a liar, then anything you do will likely be seen as confirmation that you are lying.
This is called "Confirmation Bias", and is exemplified by courtroom accounts that say the accused must be lying because he spoke quietly and calmly, and other courtroom accounts that say the accused must be lying because he he spoke emotionally and tearfully.
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The mere fact that science may not yet adequately explain an object, event, or experience does not mean the immediate explanation should automatically default to a conspiratorial, extraterrestrial, paranormal, or supernatural cause.