analyticity of consciousness

[AntonioLao]

It is well known in complex analysis that analytic functions are special subsets of all possible complex functions. These classes of functions include: (1) polynomials of all complex analytic variables, (2) all sums and products of analytic functions are all analytic, (3) all quotients of analytic functions are analytic except for values of the complex variables that give the denominator zero, (4) an analytic function of an analytic function is also analytic.

If consciousness is one dimensional or two dimensional then it can be analyzed by analytic functions of complex imaginary variables. This is done by double contour integrations using Cauchy’s first and second (residue) integral theorems: òf(z)dz=0 and òf(z)dz/(z-z0)=2pif(z0). Furthermore, these complex functions of consciousness must satisfy Cauchy-Riemann partial differential equations: ¶u/¶x=¶v/¶y and ¶u/¶y=-¶v/¶x where u is the real part and v is the imaginary part of a complex function: f(z)=u+iv and z=x+iy If the unit of consciousness is represented by the complex number (1+i) then its product with itself gives two imaginary units: (1+i) (1+i)=2i. However, if it is multiplied by its complex imaginary conjugate (1-i) then the product is two real units: (1+i)(1-i)=2. Therefore, either imaginary state or real state, the seat of consciousness is always binary not unary or tertiary. These are equivalent to the absolute states of being good or bad, weak or strong, smart or dumb, etc. and all the possible relative states in between.

[everymansmedium]

It is well known in complex analysis that analytic functions are special subsets of all possible complex functions. These classes of functions include: (1) polynomials of all complex analytic variables, (2) all sums and products of analytic functions are all analytic, (3) all quotients of analytic functions are analytic except for values of the complex variables that give the denominator zero, (4) an analytic function of an analytic function is also analytic.

If consciousness is one dimensional or two dimensional then it can be analyzed by analytic functions of complex imaginary variables. This is done by double contour integrations using Cauchy’s first and second (residue) integral theorems: òf(z)dz=0 and òf(z)dz/(z-z0)=2pif(z0). Furthermore, these complex functions of consciousness must satisfy Cauchy-Riemann partial differential equations: ¶u/¶x=¶v/¶y and ¶u/¶y=-¶v/¶x where u is the real part and v is the imaginary part of a complex function: f(z)=u+iv and z=x+iy If the unit of consciousness is represented by the complex number (1+i) then its product with itself gives two imaginary units: (1+i) (1+i)=2i. However, if it is multiplied by its complex imaginary conjugate (1-i) then the product is two real units: (1+i)(1-i)=2. Therefore, either imaginary state or real state, the seat of consciousness is always binary not unary or tertiary. These are equivalent to the absolute states of being good or bad, weak or strong, smart or dumb, etc. and all the possible relative states in between.

Hello Antonio:
I am not familiar with the math that you display. The interface must then be, between a single dimensional strand of time that must be binary configured on the single dimensional side, to a multi dimensional sight, sound, touch, smell, taste and any additional channels that may be undiscovered in the medium of life on the interfaced side.

I do believe your result to be correct though I do not have a clue as to how it functions.

Yes I do think the being is based on a binary. This is also one of the reasons that I do not believe that it happened at random. The processors that we have in most of the computers that we use are not of a TRUE MULTIPROCESSING TYPE. They are multiprocessor in time. This is more of a time sharing process. This must also be the way that A being functions if it truly is a single dimensional process.

John

[Cubola Zaruka]

The reason why there are 2 units is that 1 or 2 dimensions were assumed. Dualities are prevalent because each entity could have a maximum and minimum value in a particular dimension. Any information expressible in binary could also be expressed in unary or tertiary, but computers use binary because either a current is flowing or it is not, whereas it is possible that nerve impulses may operate in a higher base by varying the voltage.

[AntonioLao]

Analysis also always implicitly means differential and integral calculus and the theory of limits for zero and infinity. The same as the reality of the transcendental irrational number pi which appears in all theories of analytic functions but never as a solution to any algebraic polynomial.