Technikatörténeti szemle 10. (1978)

A MÉRÉS ÉS A MÉRTÉKEK AZ EMBER MŰVELŐDÉSÉBEN című konferencián Budapesten, 1976. április 27–30-án elhangzott előadások II. - Wette, E. W.: Egy döntő mennyiségi-minőségi változás lehetősége a mérés és matematikai kísérletek története alapján

effect and the dualism ,wave versus corpuscle' as a local defect, both depending on the existence and projection of a (absolutely determined) „pouch-wave" diagram for one photon. 4.1. Instead of E = hv (Planck 1900), the mathematician obtains approximately E = hv I ^l + (2nv jv

0

)

2

, where v

0 = 0.2 TTHz; such a deviation is fit for a terrestrial test by way of a, statistical investigation on energy balances, since'21.5 GeV (Stanford) results in 5.2 TTHz as the limiting frequency for Bremsstrahlung. Contrary to an invariant velocity of light c = const (Einstein 1905), the mathematician knows that the—finite and singularity-free, cf. 6.1,2—total average diagram enforces different angles between its net of lines and a geodesic (Clairaut 1733): c will depend on the cosmic time or on the cosmic place. The simplest consequence, consistent with the aether's ,elasticity" and with Hubble's red-shift (average factor 2.4 aHz), is surprising: our earth//galaxy is not in an expanding space, but moves on the minimum parallel of latitude of a torus-shaped total average diagram, where c = c

min = tan 26°45'11" and 1 sec = 0.5947 Gm; in the ..farthest" antipodal nMM

„ , 9.6537 1.7931 region of space, however, c

max = tan 84°5 9 corresponds to X "= 0.5041 0.2069 = 49.756 Gm/sec. 4.1.1 Hint: a geodesic on the standardized 2-torus 2

x

2tl = (1 + 1

x

J

) • cos//sin/3'

1; 2

x

0 =s =

1

x

0

, where 1

a?

lj0

= p-cos//sin/S'

0 and 0< o< 1, intersects the meridian in the point/3^ = A =jr, (5\ = 0 under an azimuth d, which determines the Clairaut constant C of that geodesic: G = (1—g)-sind = r«sina

r

, for r = 1+ q cos /?'„; the geodesic can be computed in terms of Legendre's incomplete elliptic integrals from the equation ^\=Q( Q,C J /J'

0

) -(F(k,(p) — (l —)n{n, k,<p)), where 0<C<l—o and k

2 = yi-(q-C)

2 { l-o *e° - hi], • = -k

2l-zzi±£,^ a+»WW+e-o> ^

n The 1 — (Q—Cf 2(l—

e

) ^l+ocos^'o—O) 7t condition n = Q( q, C \ 0) [ -+q> — — ] selects the shortest closed geodesic through the 2 antipodal event £'

0 = 0, $\ = n; it is fulfilled by C = 0.2069Xsin 63°14'49" = = 1.793lXsin 5°54'51", if the duration of ,time' [~(1—o)>cota] is maximized. A4-torus with the well-proportioned chain of radii r

2 = 1 (% 10

26 m), r

2 = 0.6086, r

r = 0.1331, r

0 = 0.0514, interpolates the average ,space & time' with an isotropic propagation of light; that solution is determined by closed geodesies under the condition m'jTc — \m'

0

\Q(Q,C [0) for »»'¿»1 and m'

0 = 1, 2, 4. QSS and QSG may be a phenomenon of space-focusing. In the case of v^/ds/d/?^ =s r

2

/G, the relative red-shift Av/v = 1—{r

0

bsl

r

emitf' is independent of G and is 0.5536, 0.8709, 0.9867 in the principal directions. A (relative) wavelength shift A(p/(p = 1.240 would suffice to intercept signals from the „nearest" antipodal region; the same shift would belong to latitudes p\ = +63

0

42' and p\= 180°+29°30' on the other principal meridians of the average space. 4.2 Notwithstanding the geometro-static interdependencies of the physical magnitudes in the MKS A-system, augmented by °K and cd, it is clear that the historycal approach of experiments on the basis of practically determined magnitudes was an indispensable prerequisite for a decisive rectification in terms of closing