I was invited to check this thread by hansda here:

http://www.sciforums.com/threads/universe-expansion.159815/page-7#post-3478871 Since I do not see a "correlating NM with GR through [hansda's] TOE", I assume it must be in the PDF linked in the opening post. So let's take a look at it!

The abstract already makes one thing clear: the word "success" here is not used as it is in statistics. Statistics is the closes one would get to a theory of success in mainstream, but when hansda says there are only qualitative and not-mathematical theories in mainstream science, it cannot be referring to that. This reading is confirmed in the first line of the main text, where "success" is described as "a general desire".

The rest of the introduction is introductory, so let's pick it up again at the start of the next section, called "II. Discussion".

'II.1' through 'II.5' introduce our definitions. Note that action is defined significantly different from the mainstream physics usage of the term. Note also the usage of the word "desire". A "doer" thus must possess a mental process, and cannot be lifeless. So for example, a planet cannot be a "doer".

II.6 starts with a pretty okay description of the Newton's first law. The second paragraph seems to be inconsistent with the previous definitions. It uses the phrasing "duration of the action", however, an action is defined as "any movement or motion of a particle with [sic?] relative to an observer". The duration of a motion is ill-defined, as we can always translate into its rest frame. Additionally, does changing a motion "end" the original motion? But this confusion appears to be irrelevant (for now), so let's move on.

The rest of the page just introduces a (non-standard) notation. What is given here is a partial description of standard classical mechanics. Nothing to comment here.

Page 3 (or actually, equation 2) opens with usage of the term "infinitesimal unit of time". It strongly suggests a mis-use of terminology: "two consecutive instants of time" is NOT the proper way to talk about this. However, this may simply be a wording issue, so let's continue.

The last part of II.6 is weird, as a set of forces is being replaced by its sum. However, let's assume this is not signaling an actual correspondence, but just a lingual nicety. Other than that, no comments as this appears to be quite standard classical mechanics, albeit with an unusual notation.

II.7 introduces another definition. Here we encounter a point of interest: a "technique" is coupled to a (single) action, but it is described by its own C(R)FS. However, these are already summed over all forces that affect a particle, so there can be only one. Due to the uniqueness of the C(R)FS, there can only be one technique (per particle) at a time. Thus only one action at a time. This however is consistent with II.6, and we now find our "duration of a motion": it is as long as a certain technique is applied.

II.8 confirms this reading.

II.9 starts with introducing pretty standard mathematical terms. No comment. Then differentation is defined through a combination of a tangent line and infinitesimals. Not sure if this is mathematically sound, but it wouldn't be far off.

Then this: "We know that a point on a straight line is dimensionless ie its radius is zero of has no length." This is non-sensical. We are talking about calculus here, not geometry. Saying a tangent line has zero radius is just mixing different mathematical domains to the point of meaninglessness. Luckily for us, it appears this "radius" has no real impact on the outcome, so we can safely ignore this confused mess.

Page 4 then throws an infinite set our way by "expanding" the real numbers into intervals of size dx, using "infinite" as if it's a number. This is very improper notation, but it's still clear what is meant, so let's see where this leads.

The values of a function are given the same treatment in equation 5. Such a set can either contain a single value multiple times, or we are expected to filter for uniqueness ourselves; that is not made clear.

Then we connect the notation of this set with the CRFS. This is of course problematic, since one set is defined over an infinite interval, the other over a finite (time-)interval. This subtlety is ignored in the text, but infinities are notoriously dangerous to play such tricks with, so I think the equating of these two sets is not sufficiently supported. But... let's say that is was!

CRFS now thus have a function associated with them. Note that this does not necessarily place any restrictions on these functions: they can in principle be discrete, be non-continious, etc.

II.10 contains no new information: it's just putting several definitions together.

II.11 seems to suggest only one technique can lead to a desired result. This may either be sloppy wording, or a property of techniques that I missed. Other than that, nothing spectacular is written here.

II.12 is just a re-statement of things we saw earlier. It however ends with the line "So, this theory also can be considered as a Theory of Everything". What is meant here is that because all actions and techniques are contained within the framework of this theory, it will contain everything. So this is not a theory of everything in the mainstream scientific usage of the word, but a simple statement that the domain of applicability of this theory is the entire universe.

III is supposed to be the conclusion, but it introduces the idea that one can approach success without reaching it. In other words, there is all of a sudden an ordening in outcomes, not just a "single one succes, rest equal". It also says that doers can perform actions by using techniques leading to success. This isn't an insight of any kind; give something the power of choice and this will follow almost necessarily.

This conclusion does however confirm my reading of "Theory of Everything" as I commented on with II.12.

And there the text ends. This is weird, because it appears to be missing its most essential parts! It does not define "success" outside of "doers", thus it places no restrictions on the motions of (for example) fundamental particles or planets. All non-"success" related parts of the text are standard classical mechanics.

I fail to see where any insight might be gained from this text as it currently stands.

And, I also see no derivation of the Einstein field equations, or anything GR related. hansda, you misled me!