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Winged Victory of Samothrace

Pattern of outward equiangular spiraling array (set) of Regional volumes (i.e. 3-manifolds), above and below.
Stability of trajectories of modified n-body array of manifolds for System.


A modified global instant (snapshot) of 6 or more VRs, with depiction of past evolution of 1 such Regional Volume VR; likewise for all VRs. Such VRs never intersect. That is, modified concomitant outward spiraling trajectories for VRs of 1 plane. see animation and SRM page.

I hear robbins a great way off,

and wagons a great way off,

and rivers a great way off,

and all appear to be hurrying somewhere undisclosed to me,

Remoteness is the founder of sweetness ....

                                Emily Dickinson

Sibelius 4

Instructions: Can download any file by R clicking, and 'save link target as' to HD. L click to just display file in  Acrobat Reader. Most all of notation should now show up in just the Reader. If not, then use full Adobe Acrobat 4 or higher program, which is most accurate. Ghostscript viewer and xpdf may be less satisfactory in regards to notation and/or graphics. For Windows IE browser, if graphic is too dark, then R click on properties to give accurate tone. If using full program, make sure that from View - fonts drop down menu, or from Preferences - then display, that use local fonts is checked.  TMM

O world invisible, we see thee

O world intangible, we touch thee

O world unknowable, we know thee.

                  Francis Thompson

Inertia of manifold?  Law of Inertia for Manifold?  see SRM (Spiral Rotation Model), appendix, c/p/c 253-255, and MSM web page.

Blazars - ultraviolet emission lines and polar vortex? 'geodesic reconnect' for particle? Gamma Ray Burst: originating from interior of black hole? Accelerator mechanism for GRB?  see SRM appendix, c/p/c 221, and modified black hole and SRM web pages.

fermion mass spectrum?  4th and higher generations? see modified black hole web page, Modified Set Model (MSM) page, and SRM c/p/c 205, 155.

Do we live in mixture of 2 divergent topologically inequivalent manifolds (i.e. mixture of continua), with different overall attributes in regards to smoothness property?  see SRM page.

Some look at things and ask why,

while others dream of things that never were,

and ask why not.  

                            George Bernard Shaw

Manifolds can neither be created nor destroyed . For example, retrospective extrapolation of our manifold to pre-Big Bang and Big Crunch stage, vis a vis fermion mass spectrum. So no construction of manifold from null set ? A mathematical conjecture? see MSM page.

Highlight: origin of life and Archean. see SRM web page; also origin_life.pdf file

New matter and mass from Big Bang nucleosynthesis, and even from higher energy fermion mass spectrum and resultant superhadrons, from short duration hard (i.e. extremely intense) narrow beam gamma ray burst out of polar vortex of modified black hole?

Accumulative finer scale nucleosynthesis NSL , most evident in voids? Early universe clustering of galaxies would seem to negate such scenario.  see entanglement vignette on modified black hole page.

Vortical Black Hole ThermodynamicsOrigin and mechanism of short duration gamma ray bursts (GRB)?
see modified black hole and SRM pages.  TMM

Fission stars ( i.e. non-fusion) - red dwarfs?  Hence unending life on terrestrials of such infrared stars? see modified Black Hole page.

Exponentially changing and analytical like cosmic time? Hence as if evolving System were an analytical engine?
Also, integers - seemingly analytical? see SRM page.

Nature (philosophy) of Time   see SRM page.

Distribution of Primes versus that of matter (luminous and dark) for early universe; both non-uniform - mathematical and physical truth?

Imperfections, part of both physical and mathematical worlds?
Intrinsic common characteristics for both world views?  
TMM      see MSM page. 

Neutrino belt in our solar system, and for all stars, including black holes and pulsars? see revised c/p/c 236 here and as listed on SRM page; also see wordpress vignette Comet 67P, neutrino belt.

Prefabricated 'universe' ? Is clustering more typical? see  MSM page.

Entanglement:  violation of local conservation of energy?
Cosmic entanglement: transient fermion mass spectrum for BB->BC,  and total 'universe'  energy - see 
modified black hole page. 

shape of 'universe'   see Manifolds on MSM page.

Is our evolving 3-manifold typical of manifolds, in mathematical sense? see SRM page

see ~196 diverse vignettes at  https://zankaon.wordpress.com