Here we postulate a geometrical 2D closed path invariant ds=dst+dsΦ (geometrical interpretation) with the
observer's own 2D ds=dst+dsΦ then giving a total direct sum 2⊕2=4 degrees of freedom for the resulting
(observer translation) Dirac equation pde and its ψ. There are several, more or less technical, ways of stating the
consequences of that new "observer interpretation" Dirac equation pde. Two such ways are "wave function
collapse," and in a more common sense vein "Bertlmann's socks." Note that wavefunction collapse to ψ then
(and experimental nonlocality implications) is the "observables translation" of that fundamental postulate and
so not itself postulated. Also that geometrical postulate does not allow a Bohmian hidden variable
interpretation because of its fundamental nature (i.e., we cannot go any deeper). For example that postulate
states no x or p that we would be certain of in some hidden variable context. Thus we can ignore here the straw
man arguments of J.S. Bell that are in response to Bohmian hidden variable theories only. Thus there cannot
result Bell's kink at θ=0 in the correlation function between the polarization measurements on the two ends of
an EPR experimental apparatus (Bell, 1987). Recall this kink required correlating in a hidden variable, classical
statistical mechanical context, with resulting superluminal implications. Also note here the "observer
interpretation" boundary condition conservation of angular momentum of the initial singlet state for our 4D
Dirac pde results in this being a time independent solution to this pde. Thus wave function collapse to the
measured value in no way implies superluminal communication. In laymen terms it is just the Bertlmann's
socks common sense fact that we knew before hand about the original singlet state of the central emitter, no
superluminal communication between the left and right ends of the Aspect apparatus was required to know
about this. Thus our new observer representation Dirac equation pde (the below equation 3.7), and the
geometrical postulate it originated from, solves the nonlocality problem which has been an enigma to physics
ever since that original EPR paper of many decades ago. This is relevant to the origin of the photon since this
wave function collapse is also a basic behavior of light and photons.
The postulated 2nd quantization creation-annihilation operators at and a in the radiation-photon Hamiltonian
comprise some of the many unexplained assumptions of mainstream Standard Model physics. But we show here
that these operators do not have to be 'postulated'. The uncertainty principle must apply to both the sine wave
photon source and its receiver allowing different source frequencies ω and ω'even for a plane wave. Thus the
prosthaphaeresis formula cosω't + cosωt = 2cos(½(ω'+ω)t)cos(½(ω-ω')t) then gives this beat frequency as Δω=
½(ω-ω'). These beat frequency envelopes, or lobes, are then the 'photons' which provides the motivation for the
use of at and a. Thus the 'photon' does not have to be postulated and we have explained its origin.
This paper presents new software (and simulations) that would phase a space based free flyer sparse array telescope. This particular sparse array method uses mirrors that are far enough away for sensors at the focal point module to detect tip tilt by simply using the deflection of the beam from each mirror. Also the large distance allows these circle six array mirrors to be actuated flats. For piston the secondary actuated mirrors (one for each large mirror segment of these widely spaced sparse array mirrors distributed on a parabola) are moved in real time to maximize the Strehle ratio using the light from the star the planet is revolving around since that star usually has an extremely high SNR (Signal to Noise Ratio). There is then noneed for a 6DOF spider web of laser interferometric beams and deep dish mirrors (as in the competing Darwin and JPL methods) to accomplish this. Also the distance between the six 3 meter aperture mirrors could be large (kilometer range) guaranteeing a high resolution and also substantial light gathering power (with these 6 large mirrors) for imaging the details on the surface of extrasolar terrestrial type planets. In any case such a multisatellite free flyer concept would then be no more complex than the European cluster which is now operational. This is a viable concept and a compelling way to image surface detail on extra solar earthlike planets. It is the ideal engineering solution to theproblem of space based large baseline sparse arrays. Significant details of the software requirements have been recently developed. In this paper the Fortran code needed to both simulate and operate the actuators in the secondary mirror for this type of sparse array is discussed.
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