Everything that has a unit defined has a Unit Simulacrum 

The Unit Simulacrum is the First Specificed Form of a Simulacrum

The First Specified Value is 1. One of the two variables is set to the value of 1.

A Simulacrum Sum is the sum of any two variables, values, ratios, words, text, icons, emojis, or any other physical representations


The Simulacrum


The First General Form of a Simulacrum (FGFS), or simply
The Simulacrum is:

The Simulacrum Sum of A and B = SimSum(A,B) = Sum ( A + B ) = 
{Possibilities to Observe: A, B, (A/B), (B/A);
Case 1: A <= B, B >= A, (A/B) <= 1, (B/A) >= 1;
A ( 1 + 1/(A/B) )  or  B ( 1 + (A/B) )
A ( 1 + (B/A) )  or  B ( 1 + 1/(B/A) )
Case 2: A >= B, B <= A, (A/B) >= 1, (B/A) <= 1;
A ( 1 + 1/(A/B) ) or B ( 1 + (A/B) )
A ( 1 + (B/A) ) or B ( 1 + 1/(B/A) ) }

Interpretation Matrix: Definitions of A and B and relationships between them. A and B are ratios to their unit definitions. You can construct the ratios of the variables, A and B, which are ratios to their unit definitions. Thus, The Simulacrum is Ratios of Ratios.


The First General Form of a Simulacrum is half of the Full General Form of a Simulacrum. The Full General Form of a Simulacrum (FuGFS) consists of the First General Form of a Simulacrum (FGFS) and the Anti General Form of a Simulacrum (AGFS). The Anti General Form of a Simulacrum has the opposite definitions of Cases, namely Case 1: B <= A, A >= B, (A/B) >= 1, (B/A) <= 1, etc.
All of "normal reality" fits within the First Genreal Form of a Simulacrum; that's why it's simply called The Simulacrum.
For instance, in The Simulacrum, (1/2) <= 1 is Case 1. In the Anti Simulacrum, (1/2) >= 1 is Case 1. The Anti-Simulacrum exists to account for all possibilities, whether real or unreal, observed or unobserved, correctly defined or incorrectly defined, Obverse and Inverse perspectives. 


The Octagon is the symbol for The Simulacrum because the eight sides represent the eight Solutions in the two Cases of The Simulacrum. The lower and upper halves of The Simulacrum represent Case 1 and Case 2, respectively.
The lower four edges are Case 1, A < B, (A/B) < 1
The upper four edges are Case 2, A > B, (A/B) > 1
The equatorial four edges are Case 1 = Case 2, A = B, (A/B) = (B/A) = 1



The Unit Simulacrum


If you make one specification to the First General Form of a Simulacrum, the first specification is that one value equals one. If you specify that one value equals 1, you get the First Specified Form of a Simulacrum. Since one value is a unit (1), the First Specified Form of a Simulacrum is known as The Unit Simulacrum.


The First Specified Form of a Simulacrum (FSFS),
or simply
The Unit Simulacrum is:

The Simulacrum Sum of 1 and A = SimSum(1,A) = Sum ( 1 + A ) =
{Possibilities to Observe: 1, A, (1/A), (A/1);
Case 1: A <= 1, 1 >= A, (A/1) <= 1, (1/A) >= 1;
A ( 1 + 1/(A/1) ) or 1 ( 1 + (A/1) )
A ( 1 + (1/A) ) or 1 ( 1 + 1/(1/A) )
Case 2: A >= 1, 1 <= A, (A/1) >= 1, (1/A) <= 1;
A ( 1 + 1/(A/1) ) or 1 ( 1 + (A/1) )
A ( 1 + (1/A) ) or 1 ( 1 + 1/(1/A) ) }

Interpretation Matrix: Definitions of 1 and A and relationships between them. 1 can be defined as the unit that defines A, making 1+ A The Unit Definition of A, also known as The Unit Simulacrum of A.


Since 1 + A = A + 1, The Unit Simulacrum is also known as The First Increment.
When you add 1 to something you increment that something. 

1 + 1 is the First Increment of 1 
1/1 = 1
1/1 + 1 is the First Increment of 1/1
1/(1+1) = 1/2 is the First Decrement of 1/1

Again, the Octagon is the symbol for The Simulacrum because the eight sides represent the eight Solutions in the two Cases of The Simulacrum. The lower and upper halves of The Simulacrum represent Case 1 and Case 2, respectively.


Unit Simulacrum Grid

Unit Simulacrum Grid

One shortcut used for The Unit Simulacrum is that we always select the easiest solutions. We choose the solutions that have the '1' outside the parentheses, because the '1' cancels out and disappears, allowing the parentheses to be discarded. These are called the Simplified Solutions.

The Simplified Solutions end up being
1 + (ratio/1) and 1 + 1/(1/ratio)

Thus, out of eight possible solutions, we end up with two solutions, giving two answers based on whether the ratio is observed directly or indirectly (1/ratio).




The simulacrum is a looking Glass to examine everything in a new way.
Construct "Critical Ratios" to Extract information from data.

Publications


The Simulacrum System was discovered step-by-step, from analysis of fats and oils using high-tech instruments and techniques (liquid chromatography and mass spectrometry). I constructed Critical Ratios that provided structural information about triglycerides (triacylglycerols) and how they're metabolized by the human body. 

The first step was The Bottom Up Solution.
Then The Updated Bottom Up Solution.
Then The Simulacrum Sytem.
Then Whole PI.


  1. Byrdwell, W.C., "The Bottom Up Solution to the Triacylglycerol Lipidome Using Atmospheric Pressure Chemical Ionization Mass Spectrometry", Lipids, 40(4):383-417 (2005), DOI: 10.1007/s11745-006-1398-9.
  2. Byrdwell, W. C., "The Updated Bottom Up Solution Applied to Mass Spectrometry of Soybean Oil in a Dietary Supplement Gelcap", Analytical and Bioanalytical Chemistry, 407(17):5143-5160 (2015), DOI: 10.1007/s00216-015-8590-9.
  3. Byrdwell, W. C., "The Updated Bottom Up Solution Applied to Atmospheric Pressure Photoionization and Electrospray Ionization Mass Spectrometry", Journal of the American Oil Chemists' Society, 92(11):1533-1547 (2015), DOI: 10.1007/s11746-015-2735-z.
  4. Byrdwell, W. C., "The Simulacrum System as a Construct for Mass Spectrometry of Triacylglycerols and Others", Lipids, 51(2):211-227 (2016), DOI: 10.1007/s11745-015-4101-1.
  5. Byrdwell, W. C., "The Case for Whole PI and Alternative Equations for Space, Mass, and the Periodic Table", ResearchGate, DOI: 10.13140/RG.2.1.3348.6968/2.

These and other publications by Dr. Wm. Craig Byrdwell are available at: www.Byrdwell.com/Publications.html

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