As a social species, we’re very curious about what others do and what others think of us. We can’t help but form opinions, and at the same time, we’re also not terribly fond of judgment as a whole.
That said, if you’re not in a situation where you have to discuss or explain your diet, don’t. If no one asks for specifics, don’t talk to people about it. There’s no good reason to, and nothing good will come from it.
Certain types of people will actively discourage you from performing the techniques on this site because they defy conventional knowledge. They’ll do it from a place of genuine concern (usually), but, depending on your personality, it will be aggravating at best and negative social pressure at worst.
You’ll hear all of the usual stuff. “Atkins died from low-carb.” “You’re clogging your arteries.” “How’s your cholesterol?” “Starving yourself isn’t healthy.” “Breakfast is the most important meal of the day.”
If people (who you don’t regularly eat around) are prying for details about your weight loss results, lie about it. Say you’re exercising more and eating salads.
I’m not telling you to lie to be deceptive, I’m telling you to lie so that there are fewer impediments toward your progress.
If you absolutely must tell some people how you’re losing weight or why your diet or eating habits have changed, stay strong and stick to your guns if they start giving you trouble. They may be concerned for you, but you know what’s better for you than they do. It’s your life.