You see the figure below seems complex but the actual situation we are discussing here is many times more complex. Now no one here can sling the partial differentials to even remotely solve the equations below even if given all the rate constants. Now we introduce that 22 year old English majors feel they have the stronger case and it all seems ridiculous. So I am going to eat a serving of Fritos, force my 62 year old left tit to lactate and bid you all good night.
Not sure who this flippant obfuscation of something that is actually quite simple is directed at, but I'll respond.
Nonequilibrium, diff. eq., entropy, blah, blah, blah.
Here is a simple task to try - just measure your food intake with a weighing scale (e.g., a food scale, of which the very existence & availability in any shop or grocery speaks for itself that energy balance determines weight loss) and use the corresponding nutrition data to measure macros and kcal daily for a each day of the week where your weight remains the same. Simply eat the same things (foods, quantities) daily. Engage in your normal routine activities.
This gives you your daily maintenance.
If you want to lose fat (9 kcal/g), reduce energy intake (kcal) by, say 15% to start, a very reasonable and manageable deficit at > 12% b.f. Reduce fat (9 kcal/g) intake preferentially (i.e., first) but to no lower than 50 g/d, keep or increase protein (4 kcal/g) intake (satiety, muscle retention or even increases if dieting is done correctly and certainly with anabolic agents in the mix), and take the remainder away in carbohydrate (4 kcal/g).
Measure weekly changes in your scale weight (quantitative measure) & visual changes to appearance by input from someone objective and experienced in body composition changes (qualitative measure).
Plot weekly changes in any spreadsheet application.
There will be a linear fit to the curve.
This fact is so unbelievably simple and basic that you don't even need to know that Total Daily Energy Expenditure (TDEE) = RMR/BMR + NEAT + EAT + TEF, or any of that shit.
In conclusion, nothing in your rambling, incoherent reply even approached
anything that could be considered a rational thought.