Electronic – arduino – use tinkerkit hall sensor as compass

On how capacitative touch "works", have you had a chance to read through the CapSense library page on the Arduino Playground? It's a decent overview. The technique is typical - measure how long it takes to "charge" a metal plate up to some voltage through a known resistance and infer the capacitance from that time interval. There's also a very instructive lab exercise at Cornell's microcontrollers course website.

What are the physics going on here? When you bring your hand closer to the plate you are increasing capacitance (by narrowing the distance between "the plates") - see also wikipedia entry on capacitance. You kind of serve as the plate of the capacitor connected to GND. So yes in principle driving an actual plate to GND through a transistor could work. Furthermore, if your Arduino is plugged into the wall, you most likely don't need to worry about whether you're at "the same" GND, it will be close enough. You might have a slight issue if you're Arduino is battery or USB powered though.

As for the actual circuit. I would actually try just connecting an actual digital pin to the plate. When you want to simulate "no touch", turn the pin to an input (without internal pullups enabled). When you want to simulate "touch" turn the pin to an output set to LOW. The only reason for using a transistor is if you have a current demand that exceeds the rating of the pin (about 40mA I believe), and this case really doesn't qualify.

The MLX90614 actually can work over large distances. Since it is an infrared sensor, it detects the radiation from the object you want to measure, and this does not really change with the distance. The limiting factor for the distance is the angle which the sensor covers. When you look at the data sheet you see that the sensor comes in different variants, from 90 degree down to 10 degree sensor angle. The sensor is most accurate when the object to measure fully covers its field-of-view. For the 10 degree version, the object should be larger than 17cm (at a distance of 1m). If it is smaller, the sensor will report the average temperature of what it sees.

Another option would be the TMP006 from TI, which has an I2C interface. But since it has a larger FOV (nearly 180 degree), at a distance of 1m the object should have a diameter of about 4m. Nonetheless, the TMP006 userguide makes a good read, since it explains the basic of infrared measurements, and all the calculation much better than the Melexis data sheet.

One thing to note, though, is that IR sensors will measure the skin temperature, which can vary significantly from the body temperature.