[RascalPuff]

Dear Michael:
I just looked it up in my book...

(**illustrated below in the logarithmic expression of 1,2,3,4, 5, 6,7, 8, 9 and 10, 90o segments - additional 'quantum leaps' , alternately parallel to and at right angles from the first four 90o quadrants of the 360o whole, and the extensional, alternating commencements at right angles and parallel to the 5th 90o segment. Alternative perspectives and definitions for dimensions <esp. 5 thru 8>, as well as the possibility of a heirarchy of 'quantum leaps' are directly implied here. <Any suggestions?> - KBR)

(2)

Successive points dividing a golden rectangle into squares lie on a logarithmic spiral (Wells 1986, p. 39; Livio 2002, p. 119).
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There is no precedent for this offered dimensional interpretation of 'quantum mechanical photon effect' - what this author calls 'the translatory - exponentially accelerated - moment'. There seem to be many other important questions and answers in view of these expressions. Truly Yours welcomes the casting of more light on this - especially geometric - 'translatory moment' described, illustrated subjection. This explication of the (logarithmic-geometric) cause of the 'quantum leap' (without the accompanying equations) is illustrated and described on page 463, in the 1979 published, 627 page (sold out) edition of Gravity Is The 4th Dimension (Extraterrestrial Physics 101, the contents of which continue as a work in progress).

Moreover, the 'quantum leap' is a sobriquet from the popular consideration that a given unit of microcosmic energy moves from one (Niels Bohr) 'orbit' (or, alternative 'shell' theorized station) to another, without ever occupying the space - interval - between the transposed orbit. There is no explanation for this perplexing enigma-apparent ('the quantum leap').

This record submits that the transposition of a given orbit, as it is perceived in 4 dimensions instead of three, offers the alternative interpretation of the so called 'leap', as occurring in a spiral shaped path - unanticipated; uncompensated-for, in the status quo 3-dimensional failures to comprehensively accomodate 'quantum leap', as comprehensively expressed in the above two illustrations of 4, 5 & 6 dimensionally equivalent geometric structures.
That is, the 4-dimensionally interpreted 'leap' is not per se, any kind of 3-D perceived vertical straight line ( ----> ) - up or down, to and from orbit A to orbit B, constituting the (short cut perceived) 'leap' (from one orbit or shell to another) - at all, but, rather, is a (lateral, long way around) coil shaped ( @ ) - *spiral-spin-up (360o) transiency (which may be alternately and approximately perceived within the structure of the 'YinYang' or 'Tao' symbol, from center to outside parameters) from a lower orbit to a higher one, and conversely (*spiral spin-down, this perspective also includes the ambivalent dynamics of 'chemical valence').
Yin Yang ('Tao')


The symbol of apparent opposites with its connotations of antipodal contention is actually an icon of mutually supportive , complementary reciprocity, since about the 3rd century BC; accompanied by a philosophy proffering that its complete gestalt is beyond human comprehension (which it may well be, for all of its elegant - prescient implying - simplicity.)

(Refer Fritjov Capra's TAO OF PHYSICS, which allows for *the illusion of apparent contradiction: actually mutually supportive; that being the central meaning of * 'Tao'. In this case, vis a vis, the 'inexplicable enigma' of quantum mechanics and its perceived 'contradiction' of continuous field theory.)

In the Bohr modeled atom of planet-like, nucleus-sun orbiting electrons, the orbits are not circular or elliptical, but rather - as with any other orbiting entity's 4-D path : spiral shaped.

The 4-D space-time continuum is presently said to be 'acknowledged' in academic and experimental physics; yet, the effects of that continuum, continue to go unrecognized, denied, discarded and unaccounted for. The round - O and elliptical - 0 - 3-D structure - wherever it orbitally occurs - is not anticipated or perceived as spiral shaped - @ , as it is in fact, in the prevailing, four dimensional setting.
There is no precedent for this offered (4-D spiral 'translatory moment') explanation, regarding the cited 'incomprehensibility' of Quantum Mechanical Dynamics; including a solution applicable to the 'quantum leap'.

Please let me know what you think of this.

Post Script
Incidentally, this is, for the second time (I will not pretend to be unconscious of it, as it were), my 36Oth entry, and, consequently, my third black star, for the second time...
(Quo vadis del aqui. We shall see...)

Best regards to you and yours,
- RP