It seems to be one of the remarkable differences between the tempral effect on space perception, i. e.
Gelb phenomenon (23) and the spatial on time perception, i. e.
Abbe phenomenon (23), that φ phenomenon appears obviously with the former (1, 12) but vaguely with the latter (6, 11, 8).
However, φ phenomenon is dependent upon the set of the observer for its appearance and is often destroyed by an analytical set. With respect to time perception, if the observer assumes an analytical set and divides up mentally the temporal course of the oncoming stimuli at the their initial appearance, it is strongly influenced. We may consider that
quasi-φ phenomenon occurs even in these situations in such a manner as shown in table 1 in the optic sector of sense-physiological process in accordance with
Köhler's stream-pole theory (3a).
Korte's law (4, 5c) and
Schiller's law (14, 23), which were found by them with respect to φ phenomenon, should also be applied to
quasi-φ pheno-menon (table 2, 3).
The experimental setting is indicated in table 4 & 5, in which you can see spatial intervals. The time interval t0 was 235σ, and equi-stimulus time interval t was determined by the method of limits (step width=4.7σ), continual observation, and simultaneous comparison. Stimuli were as follows : P0D0 were angles (∠60°, length of a side=25mm, breadth=3mm), P, D & D
s were small circles (2r=3mm), F was a fixation-point (2r=2mm), all of which were illuminated by neon lamps of 100 V. each.
The strength of TF (cf. 8) is represented by the formula τ= (t
0-t)
-1 for the experiments of one point method, and by [τ′] L
1L
2L
2′=[t
0-t]
-1L
1L
2L
2′ for the experiments of two points method.
Does
quasi-φ phenomenon in stroboscopic presentation accompany the displacement of temporal field from the initial spot P0 (IS) to the last spot D0 (TS0) of
quasi-φ phenomenon?
1° TF left side the IS P0 (table 3 & 2, fig. 4 & 5) :
Series D0DP0-At first P0 was presented as IS momentarily, then D
0 as TS
0 and D as TS followed simultaneously. The time shortening force i. e. the strength of the TF at D : [τ′] D0DP0>0 whereas distance D
0P
0>DP
0 and D
0D>0. So hte time shortening force may affect the left side of D from D
0 when
quasi-φ takes place. Series DsDP
0-[τ′]DsDP<0 whereas D
0P
0>DP
0. So the time shortening force may affect the right side of D from P
0 when quasi-φ does not take place. Series D
0D
0D-At first D
0 was presented as IS momentarily, then D
0 again as TS
0 and D as TS followed simultaneously.τ>0 and moreover τ≅[τ′]D
0DP
0. Series P
0P
0D-τ>0 and moreover τ<[τ′]D
0DP
0, yetτ of P
0P
0D<τ of D
0D
0D. For these reasons the TF must move from P
0TD
0, and the TF of D
0 must affect D stronger than the TF of P
0, D being neare to D
0 than to P
0. 2° TF right side the IS P
0 (table 4, 2 & 3, fig. 4 & 5) : Series D
0PP
0-[τ′]DoPP
0>0 whereas D
0P
0=4P
0P
0 and D
0P
0<D
0P. So the TF must have moved. Series D
0D
0P-τ>0, τ<[τ′]D
0PP
0. So the TF of P
0 must yet temain somewhere when the TF moves in company with
quasi-φ.
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