How would you define a circumstance where I freely introduce pollutants into the air, and they drift into your yard and poison you? How would you define a circumstance where I omit details about a transaction, falsly claiming that I don’t know, and we engage in the trade, and you find that I knew all along that the product I just sold you was faulty?
If I should “Fire” in a crowded theater, and people panic and flee and 3 people die in the stampede, and its clear that I knew that there was no fire, per your definition, I have not used force and therefore I’m not liable for those deaths.
There’s an old thread where DavidOdden answers all these questions remarkably well, but there’s no harm in summing up his point here too:
All those examples you give are actions that initiate force against another person’s body or property. Poisoning someone is a direct instance of the use of force. Fraud is slightly more complicated, because the lie itself is not force, however when a transaction is consummated under false pretenses, the goods you gained do not actually belong to you. By keeping them, you are using force against the rightful owner’s property, just like you would if you outright stole them.
The yelling fire example is also straightforward initiation of force: the people have been killed by other people, and those other people acted because you caused them to act. It is very similar to ordering someone to kill another person.
I look at it more like this:
If I do something, or don’t do something, and the effect upon you is identical to what would happen if I didn’t exist, then I haven’t acted upon you.
But if I do something, or don’t do something, and the effect upon you ends up being different to what would happen if I didn’t exist, then I have acted upon you.
Example - A shop keeper denies service to a gay couple.
Example: I say something mean to you. You take it personally, and commit suicide.
Example: I do something you don’t like, that has nothing to do with you: You react to it by killing yourself.
Both examples fit your definition: in both examples, you are dead, and in both examples you wouldn’t be dead if I didn’t exist.
And yet, neither example is a violation of your rights, because that is not how rights are defined: rights are the freedom to act, not the freedom from harm.