Graduate Mathematical Physics as a Dynamic, Relative-Quantum Domain of 3D Atomic Modeling
Physics is on the horizon of understanding picotechnical structures, as Dr. (Mrs.) Deepa Pawar- Patil's note recommending
Graduate Mathematical Physics suggests. Wherever physics is applied to chemistry, including materials like semiiconductor-transistorized micro/nanoscaled integrated circuits, or biomolecular reactions, the advanced level of analysis arrives at the need to define the wavefunctions of atomic elemental topology.
This has commonly led to the analytical studies based on the Schrodinger equation, quantum field theory, or other related forms of algebraic topology. Now the subject matter is in a crucial stage of AFM nanometric imaging which puts
some features of material, or molecular, analysis out ahead of the strict definitions which may be applied to laboratory work projects. One approach is by statistical approximation, while others employ variations of continuous functions to model the force and energy environment of materials' nanosphere of effects. That approach falls short of innovative dynamism.
This stage has a trend of thought which separates the tasks into categories for solution; waves, masses, velocities, momentum, force, pressure, temperature, kinetic and potential energy, work application, chemical electronic level topology, and electron flow models. This depth of study needs to reconcile certain facts, that only the rules of relative quantum (RQ) mechanics may be used to define the nanosphere, and eventually the femtospheric science of electron states and reactions.
Therefore, the atomic model is the central feature of nanophysics. It must be built by inclusion of the equations of RQ physics and their valid, noncontinuous expansions for topological mapping of the exact nanospheric volumes under investigation. The terms of quantum field theory will derive expressions for force fields and energy fields, or waves, which have density of +/- electric charge, magnetic field, thermic energy or force, electromagnetic photons, electrons, and gravity.
Finally those fields and waves have discrete RQ distribitions which may be defined by their original atomic functions to have functions of topology. This is the point of new RQ physics analytical development, and it applies the Einstein-Lorenz relativistic concepts with the quantized equations for waves and temperatures of photon emission to build an exact, 3D, picoyoctometric interactive atomic model imaging function for computerized display of force and energy particle distributions in atoms and propagative fields, waves, or rays. It is quantized in terms of forcons, chronons, spacons, and gravitalons to yield a complete physical science model with plain numerical data for all parameters in all examples.
The atom's RQT (relative quantum topological) data point imaging function is built by combination of the relativistic Einstein-Lorenz transform functions for time, mass, and energy with the workon quantized electromagnetic wave equations for frequency and wavelength. The atom labeled psi (Z) pulsates at the frequency {Nhu=e/h} by cycles of {e=m(c^2)} transformation of nuclear surface mass to forcons with joule values, followed by nuclear force absorption. This radiation process is limited only by spacetime boundaries of {Gravity-Time}, where gravity is the force binding space to psi, forming the GT integral atomic wavefunction. The expression is defined as the series expansion differential of nuclear output rates with quantum symmetry numbers assigned along the progression to give topology to the solutions.
Next, the correlation function for the manifold of internal heat capacity particle 3D functions condensed due to radial force dilution is extracted; by rearranging the total internal momentum function to the photon gain rule and integrating it for GT limits. This produces a series of 26 topological waveparticle functions of five classes; {+Positron, Workon, Thermon, -Electromagneton, Magnemedon}, each the 3D data image of a type of energy intermedon of the 5/2 kT J internal energy cloud, accounting for all of them.
Those values intersect the sizes of the fundamental physical constants: h, h-bar, delta, nuclear magneton, beta magneton, k (series). They quantize nuclear dynamics by acting as fulcrum particles. The result is the picoyoctometric, 3D, interactive video atomic model data imaging function, responsive to keyboard input of virtual photon gain events by relativistic, quantized shifts of electron, force, and energy field states and positions.
Now the landscape of graduate mathematical physics has a domain of exact numerical definitions suitable for all applications, with the data density needed for relevant research calculations and conclusions.
Images of the h-bar magnetic energy waveparticle of ~175 picoyoctometers are available online at
http://www.symmecon.com with the complete RQT atomic modeling guide titled The Crystalon Door, copyright TXu1-266-788. TCD conforms to the unopposed motion of disclosure in U.S. District (NM) Court of 04/02/2001 titled The Solution to the Equation of Schrodinger.
(C) 2009, Dale B. Ritter, B.A.
