Okay, I'll take your bait too.
Let's try this using something closer to an audio application instead of household voltages. Also, I won't spend time trying to make the bogus power equation work. I'll leave that to others.
A quick online search brought up this website:
Basic Car Audio Electronics
The numbers used will be assumed direct current for simplicity. Keep in mind that reactive components affect alternating current in a different way and require more complicated forumulas.
Given the various losses of an electronic amplifier instead of using the nominal 13.8 vdc I'll simplify and use 12v instead.
Let's start using electrical values in the factory stock configuration.
The factory radio is rated for 140 watts across four speaker channels.
140W ÷ 4 = 35W/channel.
This is the wattage the factory radio is able to provide to each of the four speakers.
35W ÷ 12VDC = 2.916 amps.
We can round up to 3 amps for simplicity, but that can cause problems as that extends the rated peak capacity of the radio's amps.
Let's see how that fits with the stock speakers.
12VDC ÷ 4 ohms = 3 amps.
This suggests that the final stage amplifier driver circuitry is capable of delivering 3 amps, and as has been suggested earlier is likely held at that to minimize clipping, more commonly known as distortion in discussions on audio.
Now let's calculate what happens when the speaker's impedance (resistance) is cut in half.
12VDC ÷ 2 ohms = 6 amps.
12VDC x 6 amps = 72 watts.
Remember, that's 72 watts for a single channel - way beyond the peak rating. Unless the final amplifier stages are somehow protected against excessive current, those amplifiers would become overloaded and fail. Please let me know if my math is wrong.
Here is my concern - it is foolish to advise installing a speaker of a lower resistance on a public forum to someone who likely doesn't understand the basic concepts of audio, much less the difference between Ohm's law and power in watts, as it could lead to failure of the amps. If you want to do this on your own, fine - have at it. Just don't give out advice to others based on incorrect assumptions.
I'll stick to my original advice: Try a new set of speakers. Other forum members have reported good results without going through the expense and bother of installing another radio & amp. This, in my small opinion, is simply a start and within reach of someone who is just getting started. If that doesn't work then by all means get an amp, get another radio and have fun with it!
Like I said earlier, I get what namco is trying to say. However, I see some fault in the logic and wondered if namco realized it. In the end, it doesn't really matter that much to me but I would sure be sore if I got some bad advice from an online forum that wound up destroying my stuff.