Some are referring to it as a Paleo diet, although it's unclear if LeBron is calling it that.
Ken Berger of CBS Sports did a long article on the rising popularity of Paleo diets among NBA players in December. Here's his definition of Paleo:
"The Paleolithic diet -- Paleo, for short -- involves eating like our caveman ancestors did: lean meats, wild-caught fish, vegetables, nuts and seeds, some fruit, little starch and no sugar or processed foods. Its proponents call it the 'anti-inflammatory diet' on the theory that avoiding processed carbs and sugars decreases inflammation in the body -- the kind that causes joint pain and the kind that a growing number of medical authorities believe contributes to heart disease, obesity and diabetes."