  # chemguy

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• ### Ghideon

1. Hydrogen has a single electron. Two forces may be associated with the electron of hydrogen. The forces act simultaneously. Force may be represented as a vector. The vectors of force may have a “radiant state” and a “steady state”. The states may be defined by “conditions” imposed upon the vectors. The steady state will return the binding energy of the electron, and the radiant state will give the Stephan-Boltzmann constant. Do conditions imposed upon the vectors represent different states of the electron? Reference; URL deleted 04 The States of Hydrogen
2. ## Can a tensor be represented as the average of vector triple products?

Generally a tensor may be represented as a product of vectors. A “reducing tensor” may be represented as the average of vector triple products. A reducing tensor will also “reduce” to an average of scalar products. Acceleration may be represented as a vector. A field (gravitational, electric, or magnetic) may be represented using “reducing tensors” of acceleration. An “equivalent EFE” may be written as reducing tensors. The equivalent EFE will then reduce to scalar products of acceleration. Suitable definitions of acceleration will give the Schwarzschild metric. Christoffel symbols are not required. Is a “reducing tensor” mathematically valid? Reference; http://newstuff77.weebly.com 02 The Reducing Tensor 02 Reducing Tensors.pdf
4. A vector of “incremental distance” (in 4D) has a change of direction with no change of magnitude. A component of incremental distance may be associated with a component of acceleration. This is the “Schwarzschild vector”. Simple transformation should give the Schwarzschild metric.31 The Schwarzschild Vector.pdf
5. The Janet Periodic Table was first published in 1929. This table may be re-arranged as a series of four square matrices. Each matrix is a different size. I believe that square matrices are important in physics. If each cell of each matrix is represented as a cube, the matrices may then be stacked vertically. The result resembles a "stepped pyramid" having four levels. This gives a three dimensional periodic table. The structure relates any cube (cell) to a unique set of quantum numbers, which may also identify a "location" within the structure. The quantum numbers of any element also defines its location within the 3D table. I wonder if the energy of a most significant electron may be related to its location and if subtle properties of elements may be revealed by this 3D table.
6. The Higgs Mechanism requires a field (the Higgs field). This field has been added to the Standard Model. Is the Higgs field a "new form" of an old idea (the eather)?
7. I apologize to you imatfaal, for neglecting to explain the indexing in my previous post. So here is my attempt to explain. There are two types of interaction; primary and secondary. Forces are associated with each type of interaction. The interaction you described in your previous post is a secondary interaction. This type may include the Newton gravitational equation, or the Coulomb equation. Two objects interact “indirectly”. A field of some sort is associated with each object. The fields interact directly if they are compatible. The force of secondary interaction represents an “indirect” force, and is the result of combining fields. A primary interaction is due to stresses placed on the continuum by a massive (or charged) object. Assume also that a counter stress also acts upon the object. There are three basic types of stress; shear, pressure, and temperature (thermal stress). The EFE accounts for all types of stress. The result of such stress is a field of acceleration. This field may be represented as a deformation of the continuum. It represents the difference between the Schwarzschild metric and the Minkowski metric. The origin of a reference system may (or may not) co-incide with the center of an object. If the object exists, assume they are co-incident. In order to deform the continuum a force must be distributed through it. This distribution of force is the primary interaction. A force (associated with stress) acts upon the continuum and varies with distance ® from the center of the object. The distortional force of primary interaction (Fnx) may be represented as; Fnx = mngx The indexing associates characteristics with and object (n) or with the continuum (x). A feature of the object is mass (mn). A feature of the continuum is field acceleration (gx). gx = vx2/r It may be assumed that the continuum experiences vibration. Where; vx represents an average velocity of vibration. Assume; v0 represents a special invariant velocity of vibration (v04 = G) A distortional force may be represented as; Fn0 = mng0 = mnv02/r = mnG½/r = En0/r = En02/hc The “deformation energy” (En0) is; En0 = mnG½ A “Plank object” has Plank mass (m0). The distortional force (F00) is; F00 = E002/hc = (m02G)/hc Assume; F00 is the magnitude of a unit vector of force. (F00 = 1) Giving: F00 = 1 = (m02G)/hc And; m0 = (hc/G)½
8. Thank you imatfaal, for your posting. Your dimensional analysis was convincing. I goofed here (wrong assumption). I have a similar question concerning forces. I hope you will comment. So here it is; The Plank force is; FP = EP2/ħc Where; EP is Plank energy A general definition of force magnitude is; F = E2/ħc An indexed force magnitude (Fnx) may be written as; Fnx = (mnvx2)2/ħc A unit vector of force (F00) has a magnitude: |F00| = F00 = 1 The indexed unit force magnitude is; F00 = 1 = (m02v04)/ħc Assume; m0 is Plank mass V04 = G Then; F00 = (m02G)/ħc = 1 Giving the definition of Plank mass; m0 = (ħc/G)½ Does this imply that v0 is an invariant fundamental velocity somehow associated with gravity? Please comment. chemguy
9. Can anyone please identify this energy? E = (ħc)½ Are there any references to it in the literature? Thank you. P.S. I prefer to write it as; E0 = (ħc)½ This energy may be inferred from Plank Units. The Plank force is; FP = EP2/ħc A general definition of force magnitude is; F = E2/ħc = ħc/λ2 A unit vector of force (F0) has a magnitude: |F0| = F0 = 1 A scalar definition is: F0 = E02/ħc = ħc/λ02 = 1 Giving; E0 = ±(ħc)½ and; E0 = ħc/λ0 Where; ħ is the reduced Plank constant; (ħ = h/2π) h is the Plank constant c is the light constant λ is wavelength
10. Space is the "region" in which matter exists. Area is a subset of the region. A field is represented by a distribution of acceleration over a region. Time is part of acceleration, and therefore is also distributed over the region.
11. The Einstein Field Equation (EFE) contains scalars and tensors. The EFE may be modified if the following substitutions are applied; - A tensor is represented as a four vector product of acceleration (arithmetic product) - The Ricci Scalar is represented as a scalar ratio of areas - The Einstein constant is represented as ratios of Plank units A field operator may be defined as a “four dot multiplier”. If the field operator acts upon the modified EFE, the result will be a scalar field equation (SFE) representing field strength. The SFE may also be written as an equation of “average field strength” (AFE). If “Schwarzschild conditions” apply, the SFE will reduce to the Schwarzschild metric. It follows that flat space-time is represented as the Minkowski metric. An emitter has both mass and an emissive surface area. If the mass/area ratio acts upon the SFE, then the SFE will transform to a scalar equation of stress (SSE). Stress may be represented as shear or as pressure. If “radiant conditions” apply, then the SSE may be simply related to black body radiation. blog link deleted by mod
12. An acceleration field (not necessarily gravitation) may be represented by two vectors. A position vector identifies some point in space, and an acceleration vector will associate acceleration with the selected point. The acceleration vector must be “linked” to the position vector. This linkage is achieved by relating components of the acceleration vector to components of the position vector. The two vector representation of a field leads to a gravitational wave function. Please view; http://doulting.shawwebspace.ca/asset/view/7853/gravitational_wave_function.pdf
13. The Periodic table of elements may be arranged in 3 dimensions as a stepped pyramid. Each chemical element is represented as a cubic block. The Janet Periodic Table aka the “Left Step” Periodic Table may be re-arranged into four square matrices. Each matrix is a different size. Each cell within a matrix represents an atomic element. A cell may be represented in 3 dimensions as a cube. The matrices may be stacked vertically so the “cores” (2x2 cells) are aligned vertically. The result is a “stepped pyramid” (Pyramid Table). One element is associated with each cube. The location of any cube within the structure is defined by location numbers. The atomic number of any element is a function of the location numbers of the corresponding cube. Each element has a defined position within the pyramid structure. Vertical “slices” through the table give interesting chemical relationships. Please see; http://doulting.shawwebspace.ca/asset/view/7853/b0_matrix_periodic_table.pdf
14. A tensor of stress may be represented as a ratio of vectors. Please see; link removed
15. A stressed field may be simply defined using various classes of magnitudes. The classes of magnitudes are associated with scalars, vectors, tensors, and outer products (also tensors of higher rank). A general metric (angular metric) may be obtained from a class defined field. This will reduce to the Kerr-Newman metric. .The Stress Field.htm
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