The shake needs more protein. This blog post cites a study that indicates 1.6g/kg being the optimal protein amount for fat loss. Two scoops of whey instead of one would probably be fine.
If Eliezer consumed this for a month and didn't lose any weight, I'd conclude that his maintenance metabolism is, on average, 1866 calories.
I don't know what he's tried to do to lose weight (just signed up here recently and only read the sequences), but any competent nutritionist or coach starts off by collecting data. Height, weight, body fat percentage, waist measurement, etc. these are useful for tracking progress. For making changes, you have to have a baseline diet/metabolic level -- this means a 2-3 week food log (calories, g/protein, g/fat, g/carbs, food type) and morning bodyweight measurements. This information gives you your average metabolic rate. From there, you make small adjustments to get progress going.
When I did the ketogenic diet, I lost weight pretty steadily on 1200 calories a day. I was almost entirely sedentary and went from 200lbs to 170lbs. I didn't know enough at the time to just measure my intake for a while, but after some tweaking, I found that my maintenance intake was around 1500-1700 calories. If I had just ate 1500cal like most calculators and recommendations said, I'd have spun my wheels and made 0 progress.
I don't know what he's tried to do to lose weight (just signed up here recently and only read the sequences), but any competent nutritionist or coach starts off by collecting data.
Some relevant information can be found here
Eliezer and I have put together this first pass at a recipe for DIY ketogenic soylent--or, as he prefers to call it,The Mildly Surprising Super Ketonic Dietary Replacement Weight-Loss Fluid - It's Not Food, It's Dietary Replacement Fluid!(R) (I am not in full support of this particular preference...)
So let's play Make a Prediction. It seems more likely to be useful than "free associate with why soylent/ketosis is awesome/stupid". Imagine that Eliezer has around a week's worth of infinite willpower (that can only be spent on resisting food cravings etc.). Further, imagine your crystal ball shows you that a month from now, he hasn't lost any weight. What does it tell you about why?
Ketogenic Soylent v1
1 scoop Gold Standard whey protein
1½ tsp calcium citrate powder
1 tsp creatine
½ cup+1 tbsp ground flax
4 tbsp Hershey’s Special Dark cocoa powder
2 tbsp lecithin
⅗ tsp potassium citrate on day 1, increase gradually to 1tsp by day 5, don’t exceed 2tsp
½ tsp iodized salt
⅛ packet Emergen-C
⅕ cup olive oil
1¼ tbsp flaxseed oil
⅗ cup MCT oil
Sucralose to taste
We might need to add water to get the consistency right.
Pills
1 capsule vitamin D supplement/day
2 Opti-Women vitamins per day
1 capsule MSM
Totals Per Day
Calories: 1866
Fats: 193.5g
Carbs: 12g
Protein: 54g
Fiber: 25g
Biotin 250mcg
Calcium 150mg
Chromium 120mcg
Copper 2mg
Folic Acid 600mcg
Iodine 200mcg
Iron 18mg
Magnesium 75mg
Manganese 5mg
Methyl-Sulfonyl-Methane 1000mg
Molybdenum 70mcg
Niacin 20mg
Pantothenic Acid 20mg
Potassium: 5g
Riboflavin 20mg
Selenium 70mcg
Sodium 3g
Thiamin 20mg
Vitamin A 5,000IU
Vitamin B6 20mg
Vitamin B12 100mcg
Vitamin C 250mg
Vitamin D 1600IU
Vitamin E 100IU
Vitamin K 80mcg
Zinc 15mg