The Phase of the “1” - Brain Theory from a Circuits and Systems Perspective - page 162

Fig. 10.2 AND gate

Fig. 10.3 Combined
waveforms with no phase
shift

the frequency of multivibrator 2 to some f x while maintaining the frequency f 1 .
Effectively, the waveform for f 1 is modulated by the waveform for f x .
To summarize, the probability of a true is determined by f x as in previous
chapters. The phase factor, used below, is held by f 1 . The availability of relative
phase, the phase of the 1 relative to the phase of the 0, identified above as phase

β ,

creates interesting possibilities for multivibrators.

Waveforms for [1 1] 0 and [1 1] 0

A simulated qubit can be expressed as a combination of true and false by
initializing a multivibrator a as follows: a [1 1] 0 . Although not needed at

this time, it is educational to note that this vector, like any linear vector, can be
analyzed as a

¼ η

¼ η ( a 1 + a 2 ):

; :

1
0

0
1

a 1 ¼

¼

a 2 ¼

¼ (10.1)

0 1

1] 0 may be expressed as

To increase understanding, a ¼ η [1

; :

1
0

0

a 1 ¼ 0 ¼ a 2 ¼ 1 ¼ (10.2)

1

The 0 and 1 are termed basis vectors. For instructional purposes, waveforms for
[1 1] 0 and [1

1] 0 are suggested in Fig. 10.4 .