I-frame system

Of course, life is never that simple. Poly-I-frame systems are important and must be incorporated in one way or another. See Ref. [5] for further discussions. 

But now you know something about this system. For example, if the amplitude at base state 11)1 = 0) is near one, the interaction with the vacuum may prompt for spontaneous emission in any arbitrary direction the I-frame system "return" to the ground state C(0, = 1) 1, while C(l, nm = 0) 0. We do not want this because a full control of the energy is required... 

A new fundamental feature pops up the event leading to an actual energy transfers between the measuring I-frame system and the amplifier device. This kind of event discloses an interaction with the measured system albeit indirectly. At any rate, energy conservation is required because this is a Fence event between two different material systems. 

Now, look at quantum state for an I-frame system prepared as (+ AE) = 1 and (— AE) = 0, the propagating quantum state is the linear superposition ... 

The spot produced by the material I-frame system (if there is any) is given a particulate property. However, there is no compelling quantum-mechanical reason that would permit to identify the real-space event to a particle, although in the particle model philosophy such assignment would seem natural. In this case, the I-frame kinetic energy would play the role of energy carrier. 

The first event may happen anywhere on the TV screen you can prepare the system as many times as you want and check that the first event appears localized (almost) at random this randomness is only apparent if you use the theory presented here. What has happened was a change in amplitudes for a transition from state +) to —) by capturing energy from the I-frame system the relative coherent intensity response being ... 

At the region covered by the laser beam, there is an interaction so that the excited state associated with the internal part of the I-frame system state IT ) is assumed to have a sufficiently long lifetime. The quantum state prepared by the laser is given by... 

One-I-frame system quantum states are sustained by the whole set of interacting material elements. These states are elements of a projected Hilbert space. 

Two-(or more)-I-frame asymptotic systems the sum of partial material contents matches material content of the one-I-frame system. 

Consider a setup where the two-I-frame states are sent in a collision trajectory remember the I-frame is a classical physics device. The initial state is a direct product of state functions for each I-frame system at a collision point, they continue to be a simple product and they separate away as a simple product. This product defines a nonentangled state. 

The quantum states for the one-I-frame system involve a nonseparable materiality these states should not include I-frame-related asymptotic states. 

The one- and two-I-frame systems are put together in a box with equal volume. Use base functions constructed with box base states these latter have only one-I-frame reference, namely, the box size, location, and possibly orientation. 

All sorts of asymptotic states together with the one-I-frame system quantum states cover all possibilities meaning is that all thinkable processes can be described as changes of quantum states using as base states simple products, and I-frame base states provided the total number of material elements are conserved. Basically, a sort of abstract quantum chemistry emerges if base states can be related to those characterizing chemical species. 

In probing, the state [0 1] correlations to the product nn,kna) nm,kmb) would allow measurements associated with I-frame system sustaining nm,Xmh) the time in laboratory space, this helps introduce a concept of event. The probing apparatus defines the location of the event. 

The simplest procedure is to take the origin of a global I-frame so that P = 0 and linear momentum conservation forces kj = —k2. At the antipodes, kd = k2 so that the common I-frame is restricted now. The particle model in this frame becomes strongly correlated. If spin quantum state for I-frame, one corresponds to the linear superposition (a /S)[CiC2]i and the other I-frame system should display the state (a P)[c, — Ci]2, namely, an orthogonal quantum state. The quantization of three axes is fixed. Spin and space are correlated in this manner. Now, the label states (a P)[c2 — cji and (a )[C C2]2 present another set of possibilities. This is because quantum states concern possibilities. All of them must be incorporated in a base state set. At this point, classical and quantum-physical descriptions differ radically. The former case handles objects that are characterized by properties, whereas the latter handle objects that are characterized by quantum states sustained by specific materiality. 

The equation is defined in an I-ffame and no rotation and translation base states are present yet these latter appear after translating the origin to an I-ffame in uniform motion with (classical) velocity v, a v-frame. This aspect is not examined in this paper but observe that global angular momentum of the system is described with the invariances to rotation of the v-frame and will apply to all internal electronuclear state of the I-frame [10]. 

The GED approach is a general procedure based on the exact solutions to the n-electron system. Only one Hamiltonian is required at variance with the infinite Hamiltonian approach (defined on the parametric -space) characteristic of the BO scheme. All the base functions are expanded from a unique origin of the I-frame. The characteristics of the n-electrons diabatic base functions are independent from the positions taken by the sources of the external potential. 

Finally, the rules of angular momentum construction can be made as if the system had spherical symmetry. The reason is that the invariance to rotation of the I-frame leads to angular momentum conservation. Once all base states have been constructed, the dynamics is reflected on the quantum state that is a linear superposition on that base. As the amplitudes change in time, motion of different kinds result. 

The operators PF, F E ( ) will next be applied to the basisJXk( ) > i-e- to the (transposed) coordinate vectors referred to the frame system e f ordered in a row ... 

Quantum-mechanical phase measurement for I-frame quantum systems provides a most direct manifestation of underlying abstract physics. Physical quantum states as projected states are to be probed at a laboratory level. Registering a resulting physical quantum state generates events with implied energy conservation rules. It can also be accomplished by further interactions leading to a detectable physical process. This is the crux of the problem. 

With a I-frame, one introduces a time axis appearing as a parameter in Eq. (1), the space component provides a mean to define a multidimensional Euclidean configuration space, x = x1,..., x ), that is, sets of real numbers. The space dimension is determined by the number of degrees of freedom related to constitutive elements of the material system these coordinates belong to an abstract cartesian product space, whereas origin and relative orientations of I-frames belong to laboratory space. Spin degrees of freedom are separately handled. 

Let us consider some examples of how information can be produced using a toy model a two-state I-frame quantum system. A ground base state 0) and an excited state 1) gathered in the row vector ( 0) 1 are used to represent any quantum state of the quantum reading system as a linear superposition the energy difference is AE = E1 — E0. 

For the present view, even if there are two slits there has never been talk about which slit (path) the electron has taken. Quantum mechanics is about quantum states. This means that the electron I-frame would realize only one of the possibilities derived from Eq. (23). It is in this sense that a quantum state is sustained by a material system sustained but not piloted. 

The energy transfer in our view does not destroy the I-frame quantum state. Only the amplitudes have changed. By disentangling the classical mechanics view of particle from the quantum state sustained by the material system, the "welcher Weg" (which-path) problem vanishes. 

Obviously, the I-frame as a material system must have gone through one of the slits, mustn t it The imprint at the detection screen elicits an energy exchange process. 

Let xs indicate location of the first two-slit plane, 4>inc) stands for the quantum state impinging at xs the interaction with the slits represented by two potential sources generates scattering states. The collimators are sources of containment leading to two identical (beam) states. The interaction with the laser beam leads to the space amplitude (wavefunction) multiplying the I-frame quantum state (x,y,z (x)xs)) IT ) in which (x,y,z x) xs)) is defined in Eq. (19) and IT ) stands for the internal quantum state sustained by the material system. Labels are added below to identify interactions with the cavities. 

Quantum states for systems type (1) and (2) are not commensurate. I-frames belong to laboratory space, and consequently, asymptotic states evolve in real space separately, whereas the one-I-frame states evolve in Hilbert space following the I-frame motion, the internal quantum states are not changed unless real-space interaction sources are allowed for. 

Consider the entangled base states Ek 0M) and Ev la) with Ek,)Ek. In laboratory space, uncorrelated direct product states Ek) 0( ) and Ek-) 1, ) can stand as base states for independently prepared EM and material-sustained quantum states, namely, 1, 1 ) 0 EM, t ) for times t )t0. From the infinite possibilities embodied here, one select those that might be relevant for describing a source of an EM system and the location for a given I-frame. 

Any quantum system can be associated to an I-frame thereby, internal and "external" (I-frame) quantum states can be determined or at least observed as done in astronomy. Probing (measuring) a quantum system breaks Hilbert space-time evolution thereby preparing a new quantum state. This latter can be used to detect the result due to probing. See Ref. [29] for an illustration. Gravitation is a prototype of classical effects. From neutron interference spectroscopy gravitation effects on quantum states are well documented. 

Instead, suppose the x and y axes were themselves precess-ing clockwise (when viewed from above) around the z axis at the same frequency the nuclear spins are precessing. Further suppose we, the observers, were precessing around the z axis at the same frequency. To differentiate this rotating coordinate system from the fixed (i.e., laboratory frame) system, we will use labels and z to represent the three rotating axes (the z axis is coincident on and equivalent to the z axis). To us rotating observers, the rotating axes and B, appear stationary, and M will rotate in the plane perpendicular to B. These relationships are shown in Figure 2.9,... 

In this equation Tis determines the rate of polarisation transfer and hence the build up of signal, while Tip is the relaxation time of the spin-locked I-magnetisation in the rotating frame determining the time scale of the decay of the reservoir of magnetisation. The rate of transfer of the magnetisation is found to depend on the second moments (M2) of the I-S and I-I spin systems as... 

I think, these ten factors explain some of the obvious advantages obtained by a plate-and-frame system. However, I would like to add that without the great work carried out by Dr. R.F. Madsen in our company who started a research programme within this field some 15 years ago, there would be no DDS plate-and-frame system today P). 

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