356 The Cell Language Theory: Connecting Mind and Matterb2861 The Cell Language Theory: Connecting Mind and Matter “6x9”almost perfectly symmetric, i.e., Gaussian. It seems possible that the
shape of the pitch histograms of various readings reflects the emotion of
the reader and that this emotional aspects of the reading sounds may be
quantified using PDE. To the extent that a pitch histogram of reading a
text, a sentence, or a phrase fits PDE, to that extent it may be inferred that
the reader’s mind exercised selection on his or her emotional states.8.3.17 Decision-Time Histograms (Figure 8.6(q))
It is known that, when a person is presented with a problem to be solved
with a binary decision, the more difficult the problem is, the longer it takes
the person to come to a decision [342–346]. The drift-diffusion model
(DDM) of decision-making is a widely employed theoretical model in
behavioral neurobiology [342–346]. DDM accurately reproduces (i.e.,
simulates) the decision-time histograms (see Experimental in Figure 8.6q),
which was in turn reproduced by PDE almost exactly (see Planckian).
Figure 8.7(a) depicts the two essential features of DDM, i.e., (a) the
Gaussian-distributed drift rates (i.e., the rates of evidence accumulation in
the brain), which can be represented as tan a, where a is the arctangent of
the drift rate, D/t, with D being the decision threshold and t the decision
time; and (b) the nonlinear relation between the independent variable of
the Gaussian distribution and the decision times. Because of these two
features, the Gaussian-distributed drift rates can produce a right-long-
tailed decision-time histogram, as shown in Figure 8.7(a), where the right-
long-tailed distribution was derived from the Gaussian distribution based
on two simple operations: (a) transform x of the Gaussian distribution to
D/tan a and (b) preserve the y-coordinates of the Gaussian distribution
unchanged.
In Figure 8.7(c), the Planckian distribution (and hence experimentally
observed decision-time histograms, since PDE faithfully reproduce them)
was almost perfectly reproduced by the Planckian distribution law derived
from the Gaussian distribution by transforming the Gaussian x-coordinate
to D/tan a, and keeping the y-coordinate invariant. This indicates that the
Planckian distribution can be alternatively derived from the Gaussian dis-
tribution based on DDM. That is, DDM can be viewed as the bridge
between the Gaussian and Planckian distributions.b2861_Ch-08.indd 356 17-10-2017 12:09:15 PM