Uploaded by PhysicsWithMarkDidas on Aug 11, 2011
In this video we have a graphic that shows the
Geometrically Derived 12 Dimensional Square Symmetric Matrix of Fermion Mass Magnitudes
To compute the geometric mean of all observable fermion gev2 mass magnitudes, we create a 12 x 12 square symmetric matrix. The main diagonal of the matrix (bold fonts) are the actual masses of all fermions after normalization to all positive mass magnitude values (multiplying all fermion Gev2 mass values by 10,000,000 each), with the electron neutrino now scaled to 1.
The top row and left column in bold italics are the square roots of the magnitude of each fermions respective mass as outlined in the Methodology section of the first video of this series. All cell values are obtained by multiplying any 2 fermion vectors (cells) from the top row and first column together, then computing the square root of that product, which is defined as the geometric mean.
Now we view the final version of the geometrically derived fermion mass magnitude matrix. All mass values of the main diagonal in bold are actual observable fermion GeV² masses. The top row and first columns could loosely be referred to as the square roots of all the fermion gev2 masses, but to be more specific, they are square roots of the magnitudes of each respective observable fermion gev2 bare mass. Values from this matrix of are at the heart of this video.
When letting observable fermion mass magnitudes dictate not only the main diagonal, but also the top row and first column vectors as square roots of mass magnitude, we achieve abundant highly graphic geometrically sound correlations.
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