The title to this article is very manipulative and misleading. Weight loss seems to be a mysterious science to the everyday man and woman, but is well known by most top athletes and has been for many years. It is simple chemistry. The calories you eat are stored in fat, which is comprised of O, H and C. Roughly ~3500 calories will become one pound of bodyfat. By this logic, yes you can eat less calories and lose weig…
If you decrease your calorie intake your body compensates by lowering your metabolism. Between this and the decreased metabolic burden of carrying less fat and muscle, this is why many dieters find that their weight loss plateaus after a while of making progress.
As far as low-carb diets in particular, there are also additional factors. If you get the carbs down under about 20 carbs a day you can go into ketosis, which is a wasteful metabolism. You literally piss away some 10-20% of your calories.
But the biggest benefit of low-carb is you don't have those blasted carbs (and especially sugar!) adding calories to your diet without triggering the satiated response in your brain - you just eat less on a low-carb diet, without feeling hungry.