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Why would you expect near zero ohms?
Second your measurement method is not an adequate method.
You need to do a 4-terminal resistance measurement. This is done by applying a known current thru the device to be measured, then measuring the voltage across two points on the device between which you want to know the resistance, and from voltage and current calculate the resistance.
See photos P19 thru P21 at
http://beta-a2.com/EE-photos.html for 4-terminal resistors.
You can do your measurement in a powered main panel. Pick a circuit wih no load present. Connect a 1500 W portable heater to the circuit. After stablization measure the current thru this circuit.
Measure the voltage drop from the main panel bus bar near where the breaker connects to the bus bar to the circuit wire connecting to the breaker. This measures the breaker resistancre plus the contact resistance between the breaker and the bus bar, and also added is the contact resistance betwen the circuit wire and the breaker screw terminal.
Next put the voltage probes on the breaker terminals directly. This will show a slightly lower resistance.
As breaker size increases the resistance will drop.
The experiment can be run with a small breaker box and the breaker being tested on the bench. A little safer way to run the test. I just measured a QO20 in a small box where I can not do the complete test above. I can not get to the breaker terminal that clips on the bus bar. My measurement is from the bus bar to the breaker output terminal. I applied 7.9 A and the voltage drop was 0.119 V. Calculated resistance is 0.015 ohms. Power dissipation in 0.015 ohms at 20 A is about 6 W.
Resistance measured with a Fluke 27 is 0.2 to 0.3 ohms. So this is mostly probe contact resistance because of the 2-terminal measurement.
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