Is the pixel output of a MacBook "stretched" by interpolation to fill the larger 5K screen of the LG 5K monitor ?

Please could Apple explain how using an external monitor with a MacBook pro laptop actually works ?
The 13" MacBook's GPU puts out a max pixel count of 2560 x 1600. The LG 5K monitor is displaying 5120 x 2880 pixels. Is the pixel output of a MacBook "stretched" by interpolation to fill the larger 5K screen of the monitor ?

In other words, if I had a digital photo that was originally 5120 x 2880 pixels, and used the MacBook pro and external monitor setup, would my photo be downsampled to 2560 x 1600, then interpolated back up to 5120 x 1600 ? i.e. every other pixel was replaced from the original photo ?

Thanks

LG UltraFine 5K Display

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    That's not how displays work. The display on your computer has no affect on the external monitor. They are entirely separate. The computer recognizes each screen individually and treats them differently. There is no scaling between the screens.

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