Context of descriptions
author: m concoyle
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What is the process of finding the observed characteristic (measured) properties (or qualities) of a stable system within a math model of containment and measuring, ie a context of quantitative sets associated to measured properties of systems.
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What provides the best model for practically useful descriptions of observable and measurable patterns of existence?
Do... ,
Differential equations associated to physical law, do this,
or
Does... ,
simply identifying the correct: shape, size, dimension, and containment context for the discrete hyperbolic shapes in a many-dimensional over-all containment set
... , provide the best model for practically useful descriptions of an observable and measurable existence?
What is the process of finding the observed characteristic (measured) properties (or qualities) of a stable system within a math model of containment and measuring, ie a context of quantitative sets associated to measured properties of systems.
It is assumed that:
The measurable models of physical systems can either be:
formulas within the context of containment (also associated to local measuring of formulistic properties),
or
laws based on local measuring (vectors and "physical" properties defined at a point in the containing coordinate space), and represented as (partial) differential equations,
ie (classical physics)
or
laws based on random patterns being contained in a function space,
or
Random patterns imposed on an assumed set of internal particle-states, upon which non-linear changes of the particle-states are defined, in turn, these internal particle-states are imposed on the individual-functions of the function-space,
(where, apparently, these internal particle-states, which are associated to unitary particle-state symmetries [or particle-family symmetries], model the data from particle-collisions very well),
ie (quantum).
However, these quantum descriptions or solution functions are not capable of identifying the stable properties general models of fundamental systems, such as: Nuclei, atoms with more than 4-particle-components, molecules, crystals, (quantum systems) ... as well as the stable orbits of the planetary system (a classical system).
It should be clear that (partial) differential equations and their relation to function spaces or to non-linear geometry are not understood math constructs.
If
The nature of math's descriptions of measurable (physical) systems (patterns) all of whose (the systems) measurable properties can be placed into formulas of variables associated to a finite dimensional containing (coordinate) space so that such descriptions of (stable) properties to be quantitatively consistent and (about) stable (actually existent) measurable patterns (or quantitative properties)
Then
The math structure must be very simple:
(locally) linear,
metric-invariant,
with the coordinates of the system's shape (within the containing coordinate space) which have continuously independent relationships between the [formulistic] system properties [represented as coordinate variables], so that the containing spatial coordinates values (or coordinate-variables) associated to the system's shape, ie the shape of the material, in space, where the material is that of which the physical system is (assumed to be) composed.
When the shapes (systems) are bounded these simple math properties are related to simple shapes which are "cubical" simplexes and subsequently associated (by a moding-out process) to circle-space shapes which are contained within the spaces of constant curvature (whose metric-functions have constant coefficients), eg of Euclidean metric-space, ie tori, and of discrete hyperbolic shapes [a shape composed on toral components] of the hyperbolic metric-spaces
(but not spheres whose metric-functions do not have constant coefficients and thus the spheres are non-linear shapes).
There are also the unbounded discrete hyperbolic shapes.
These shapes may be bent (or folded) by discrete sets of angles defined by the Weyl transformations, in turn, defined on the maximal tori of Lie groups, ie the Lie fiber groups of the containing metric-spaces. These folds may be related to angular momentum properties.
The infinite extent discrete hyperbolic shapes identify a place (or subspace) of existence for stable patterns, while bounded discrete hyperbolic shapes identify the positions of stable patterns.
What these shapes describe.., are the stable patterns (or stable shapes), so that when these shapes are bounded-shapes, then "in Euclidean space" the positions of these stable bounded shapes can be identified, and changes of spatial displacements can be identified in Euclidean space, where the spatial displacements of these stable shapes would be due to material interactions (or due to inertia).
Position related material interactions refers to a global relationship which is associated to action-at-a-distance interactions for "discrete time intervals" (and to other stable patterns ?) within a context of "pairs of metric-space states" associated to discrete changes for each "discrete time interval," where the "discrete time intervals" are defined by the period of the spin-rotation between the pairs of opposite metric-space states.
That is, for every spatial displacement of a bounded stable shape there is an opposite displacement,
and
for every stable pattern in time there is a stable pattern in opposite-time.
Thus, the metric-spaces are associated to pairs of opposite states (or opposite properties), where the state and its opposite-state can be fit into the real and pure imaginary subsets of the complex coordinates, so as to be spin-rotated (or to define a spin-rotation) between these pairs of opposite metric-space states (this is part of the discrete new model of system-interactions, which is a model which is quite similar to classical interactions), and on complex-coordinates the new description has an invariant Hermitian-form in the complex coordinates, and this complex-coordinate structure of (real) opposite metric-space states, is related to unitary fiber groups (and unitary invariance, or energy invariance, because the discrete hyperbolic shapes are very stable conserved patterns).
The over-all high-dimension (real) containment space is an 11-dimensional hyperbolic metric-space, or an associated containment space with a unitary fiber group.
(Note: An 11-dimensional hyperbolic metric-space is equivalent to 12-dimensional space-time space).
There is a finite partition of the different dimensional subspaces of this 11-dimensional hyperbolic metric-space by discrete hyperbolic shapes of different sizes, where the size of these stable shapes is controlled by the multiplication of a constant defined both between dimensional levels and between subspaces of the same dimension.
There are containment sequences of subspaces depending on the sizes of the discrete hyperbolic shapes which form the partition, where the dimensional-containment sequences can be identified in relation to the sequences of increasing-dimension of the subspaces; note that:
charges fit into nuclei (2-dimension),
nuclei fit into both atoms and molecules (2- and 3-dimensions),
atoms and molecules condense into crystals and planetary shapes (3-dimensions), and
planets fit into orbital envelopes of material-containing metric-spaces (4-dimensions),
these solar-system sized metric-spaces fit into galaxies (5-dimensions),
galaxies into the local universe (6-dimensions) etc
[but the last bounded discrete hyperbolic shapes is a 5-dimensional discrete hyperbolic shape].
Finding the stable measurable pattern, eg a solution function to a system's (partial) differential equation is about finding a simple quantitatively consistent stable shape, and its:
size,
Spectra, and
angular-momentum inter-relationships,
where angular-momentum are relations of either flows, or condensed material, that can exist between angled-toral components of discrete hyperbolic shapes.
Another consideration about stable geometric shapes (which are allowed within a measurable descriptive structure) deals with the size-measures of containment between adjacent dimensions which allow either orbital-spectral-flows or condensed material within the stable orbital envelopes of the material-containing metric-space.
Furthermore:
Do angular-momentum relations exist between:
Toral components
Different subspaces
Different dimensional levels
Different over-all containment sets ?
This type of containment construct is very much more complicated than the construct of materialism.
However, materialism has been placed into descriptive structure of very complicated nonsense.
The very complicated math patterns associated to indefinable randomness and non-linearity are quantitatively inconsistent math patterns,
and
when material is reduced to elementary particles, then the elementary particle-properties can not be re-attached to material description so as to describe the observed stable properties of fundamental material systems, such as nuclei etc.
Particle-physics is best interpreted to only demonstrate that the observed properties of unitary-ness and high-dimensions exist.
In particle-physics the relation of space and material geometry to the properties of force-fields lose their meaning, eg renormalization of the particle-collisions, which are assumed to be a part of (quantum) material interactions, is about the break-down of the structure of space, caused by the assumed local (energetically uncertain) structure of particle-field models of material interactions, related to the supposed properties of both randomness (the uncertainty principle) and local unitary particle-state symmetries.
To remotely, try to, make particle-collisions a viable model of (quantum) material interactions, the particle symmetry properties are added... , as perturbations to the particle-states, in turn, added to the wave-function structures, where internal particle-states are associated to the absurd model of particle-collisions, in a random based description... , and then subtracted, based on spectral bounds imposed due to uncertainty of the random properties of size and momentum (or energy).
This is absurd, and means that containment cannot accommodate the idea of materialism and its reduction to particles.
Rather the high-dimensions and the unitary patterns of what appear to be events emanating from a collision-point, are unstable properties, and
(A) thus, properly belong to a higher-dimensional containing-space, which has metric-space states associated to its (real) metric-space containment structure, ie it has a unitary construct associated to itself.
(B) The collision point is a distinguished point of higher-dimensional shapes, which do not attach themselves to the dimensional level, upon which the idea of materialism is defined.
The (partial) differential equation is fairly unimportant since the stable patterns are the discrete hyperbolic shapes, ie those discrete hyperbolic shapes which are resonate with the finite set of discrete hyperbolic shapes, and an associated finite set of multiplicative constants (defined between dimensional levels and between subspaces) which partition the 11-dimensional hyperbolic metric-space, as well as the set-containment structures of the dimensionally-sequenced, set-containment context of the new descriptive structure.
It is the very simple discrete hyperbolic shapes (in resonance with the finite spectra of the containing space) which would be the solution-function shapes for the stable-systems, which one is trying to model by:
either
(partial) differential equations {mostly defined for condensed material}*
or
(sets of local linear operators applied to) function spaces (used to model the physical properties of the material system).
Thus, for solution geometries to be knowable then one needs to know the finite spectral set and the "subspace-dimension-size containment" construct of the over-all 11-dimensional hyperbolic metric-space containment set.
See: scribd.com search for m concoyle (see, six different uploaded documents)
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