This paper is mainly a mathematical paper on how human perception of space is altered from the normal brain to the dementia brain. The results of all the calculations are summarized in Table 1. We see that there are 7 layers of consciousness in normal humans.  The Dementia patient slowly looses it layers of consciousness yet the mind continues to function at a rudimentary, unconscious way.

In this paper, we consider the mathematics behind what humans call three-dimensional space.  We begin by considering the normal brain; then we shift to the abnormal (Dementia) brain.  The paper results are summarized in Table 1 where we see the results compiled from the mathematical analysis above.  We begin with the normal brain.

1. Normal Brain

t=√3=eigen vector

Universal Signal=1/√3=E

s=Et sin θ

(1/√3)(√3) sin 60°

s=sin 60°

Timing signal =1/√3

1/√3=10 msec

1/√3 x 20msec=115.47=1/sin 60°=E

s=Et sin θ

s/sin 60°=Et

s=t=1

1/sin 60°=E(1)

E=1/sin 60°

E=t/sin 60°

sin 60° ×E=t=s

s=E t sin 60

s=E sin 60° (1)

=(1/sin 60°)sin 60° (1)

=1

s=1

The window of Consciousness runs from t=1-π from AT Math.

E=1/1=1; E=1/π

=1; 0.3183

s1=Et sin θ

=(1)(√3) sin θ

=114.77=√3 sin θ

θ=6.626 =h =Planck’s Constant.

θ=724

s2=Et sin θ

114.77=(1/π)(√3√) sin θ

θ=208

θ=0.2095

Δθ=724-208= 514.4= Energy of the window.

TE=M(1592)

514.4=M(1592)

M=323

M=Ln t

M=1/209

t=1.381

E=724

 Cf θ

v=d/t

1/7=125/t

t=7(125)

=875

E=114.28

=8/7=tv=d

1. Planck’s Constant

h=E × freq

h=Et

6.626=sin θ=Et

6.626=724t

t=915

s=E t Sin θ

(724 (915)6.626

=4389

=1/2278

1/228

s=t

t²-t-1=E

4389²-4389-1=926

E=(1-Ln t)7

=(1-Ln 0.4389)7

=67.0

=1/149~1/G

For the mind:

y=y’

y²/2=y=G

y²=2G

t=115.41=1/sin60°=E

E=(1-Lnt)7

E1/7=1-Lnt

1-E1/7=Lnt

e1·e1/7=t

s/(4/3)·eV=t

Aside:

s=Etsinθ

=(0.00925)(-0.614)sin60°

=0.00495

=4.95msec~5msec

5/413·1.15356=t

t=4.282delay

x2(Upanddown)=0.856=R

V=iR

=105(i)(0.856)

i-1.226

t²=i

t=11.07Delay(10-20msec)

t=d/v=125/(1/7)=0.825

0.825²-0.825-1=-1.4437

-1.4437=(1-Lnt)7

t=102

t=√3L=Lnt+c³

=Ln√3+27

=2.754

2.755/251.5=0.0095=1/91.3

E=(1-Lnt)7

=(1-√3)7

=985

s=Etsinθ=(985)(√3)sin60°

=14473.5

s=t

E=(1-Ln(4/3))7

=0.09302

=932

s=Etsinθ

=(931)(√3)sin60°

=1396~14

1.AbnormalBrain

V=iR

=(4/3)(0.85)increasingresistanceinAlzheimer’spatients.

=113.333

ΔV=0.8333=1/12

E=(1+Lnt)7

1/12=(1-Lnt)7

t=1.4244=√2

v=d/t

12.5/√2=8.838

1/v=113.73

1.1373/105=935=1/106.9~1/V+

Δt=945-935=10

t=(1-Ln10)7=251.5=PeriodT

945/7=1.350x2(downandback)=270=10c³

L=[Lnt+c³]χ

Ln[(945)+27]χ

χ=0.00588

=5.88msec=t

E=(1-Lnt)7

0=(1-Lnt)

t=2.71828=e1

E=1/t=e-1

i=t²

=e²

=7.389

V=iR

=105=7.389R

R=√2=tR=t

R=√2/7

=202perlayerofconsciousnessintheMultipleDraftmodelofthebrain.

√2/14=2886

L=Lnt+c³

=Ln(202)+27

=27.202

L=2χ=27.202

χ=136.01

E=136e-.202

=111.12=1/9=M

E=M

Δt=ΔR=0.8-√2

=-0.614~-0.618rootoftheGoldenMean.

t²=i

R=s=t

R=√2

V=iR

=t³

=(√3)³

=28.28

E=(1-Lnt)7

=(1-Ln√2)7

=0.0508~50msec

s=Etsinθ

=(0.0508)(√2√)sin60°

=6.228~623=1/1605~1/e-Coulombs.

t²-t-1=E

(-0.614)²-(-0.614)-1=0.009~0

s=t=R

V=iR

=t²R

=t³

=(-0.614)

=-2.3147

1/V=1/E=t=432.01

E=(1-Lnt)7

=[1-Ln(-0.614)]7

=0.00925

~0

s=|E||t|sinθ

=(0.00925)(-0.614)sinθ

=492

(4/3)/492=271~e1

Ln0.271=150=1/G

√2/7=202=1/495

8/7=114.28=1/875

ΔR=202-114.28

=0.8772

=1/114

V=iR=105=t²(1/114)

t=1.09407

1. Abnormal vs. Normal

s=Etsinθ

(1/12)(√2)sin60°

=102

snorm.=0.866

102/0.866=117.85=Mass

=17.85%

FV=PV(1+i)N

102=0.866(1+17.85%)N

N=1=t

E=(1-Lnt)7

0=(1-Lnt)

t=2.718=e1

(4/3)/492=2.718=e1

Δs=sAbnorm/snorm=102/14473.5=0.7047~1/√2=1/R=1/t=E=1/s

ΔE=EAbnorm/Enorm=1353/985=137.4

Δt=Δtabnorm/tnorm=2.718/√3√=156.9~π/2

For the Abnormal Mind in comparison to the Normal mind, we have the following equations:

SE=SE’=Mind=Mind’=t²-t-1

Abnormal Mind

t²-t-1=

(-0.614)²-(-0.614)-1=0.009004=MassM

Normal Mind t=eigenvector=√3

t²-t-1=

(√3)²-(√3)-1=27=c³

Abnormal-Normal=1.628-0.5775=105.1mV(HumanNervousSignal)

CivilizationofHomospaiensbeganabout150, 000yearago.ThisItheorizeiswhenconsciousnessbegan.Itledtocooking, language,artetc.

t²=i

i=√150,000=387

Normal

V=iR

=387(0.85)

=329Cf.323

=1/304

Abnormal

V=iR

105=387(R)

R=3.686=1/2.713~1/e

Astheresistanceofthebraindropped,whenitreached0.85,thenConsciousnesshappenedsinceE=1/7.

R=1/e=e-t=0.85

-t=234

E=(1-Lnt)7

=(1-Ln234)7

=1438

=1/695~1/7

One layer of consciousness

1/7x7=1=E

t²-t-1

=7²-7-1

=41

i=t²

=234²

=5.475

V=iR

41=5.45R

R=0.748~0.75=1/s

M=Lnt

=Ln234=5.455

L=Lnt+c³

5.455+27

=324Cf.323

FromTable1:

Sum:

Ln23.479x21.06=6.67=G

Product:

TE=42=M(1592)

M=264

Ln44.781x1.0962=416/6.626=2Pi

416=125/3=d/v=t

FV=PV(1+i)^t=1/984

E=(1-Ln984)^7=1

We have space and energy. Now let us obtain time

E=(1-Lnt)7

=(1-Ln(4/3)7=931

s=Etsin60°

=(931)(√3)sin60°

=1396~14

s=Etsin60°

=4/3=(1)t(0.866)

t=153.9

1.539xh=153.9x6.626=43=R

V=iR

106.1=2.4673

R=43

Δt²=i

t=√i=√(π/2)=2467

E=1353MassofBrain

t=√2

E=(1-Lnt)6(Notepower6forAlzheimer’s;not7)

1353=(1-Lnt)6

t=2862

s=Etsin60°

=(1353)(2.862)).866=353

Δs=1396-335

=106.1=V+

t=L+V+

2+1.061=3.06

M×v=L=P̅=cosθ

1400×1/7·(416.67)=L=P̅=cosθ

θ=2.98=c

v=d/t

1/v=t/d=7

M/v×L=Lnt+c³

M=Lnt

M/v-M+c³=L

7M-M+c³=L

6M+c³=L=2

M=416.67

M=d/v=125/3

Now,touch=4

t=KE=1/2Mv²=1/2M(1/√2)²=1/2(4)(1/2)=1

s=Etsin60°

=(1)(1)sin60°

=0.866

=sin60°=t=1/E

s=(d/t)²=(125/t)³=0.866

t³=443

t=763

E=(1-Lnt)7

1.1547=(1-Lnt)7

t=102.09

=102

=sab

s=Etsinθ

1/√2=(137.4)(π/2π)sinθ

θ=0.00327=1/305

=1/t=E

E=1/sinθ

t=L+V+

=2+106=3.06

V=iR

105=(4/3)(R)

R=1/126.9

1/126.9/{0.404/2}=102.5

=sAb.

snorm=1.1477

102.5/11477

=111.9

=1/c²

This is the current of the input and output of the black box brain.

1/7=v=d/t=s/t=102/t

t=7(102)

=714

E=14.00=7x2Downandback.

s=Etsinθ

1/7=14(102)sinθ

θ=π/2

s=1=t=R

V=iR

105=(4/3)R

R=0.7875=1/126.9

126.9/π=404=Re

Re=IF/VF=Mv/Ma=1/7/(1/√2)=202=Re/2=Re/L

202/126.9=1/2π=1rad.

FV=PV((1+i)N

=0.866(10209)N

N=sqrt3=t=eigenvector

i=0.20109

i7=1329.6~1330Internalclock.

0.020109x7=14.07~14=2x7Downandback.

FV=PV(1-i)N

Alzheimer’si=-2.0109%

=0.866(1-0.020109)√3

=0.866(965)

=0.836=E

t=1/E=1.19608

t²-t-1=E

E=765

t=1.306

E=(1+-Lnt)7

(2.669)7

=S.F.7

=965=(1+i)N

t²-t-1-2t-1

t=3

v=d/t=125/3=416

416msecisintherangeof300-500msecreactiontime.

TheSoul:

Consider:

LetSoul=Mind

SE=SoulEnergy=Mind

t²-t-1=L=Lnt+c³

Derivative:

2t-1=ℂ=1/t+ℕ

2t-1/t-1+ℕ=ℂ

[2t²-1-t]/t+ℕ=2ℂ

2t²-1-t+ℕ=2tℂ

t²-0.5-0.5t+ℕ/2=ℂt

Letℕ=-1&ℂ=0.5

t²-t-1=0=SE

SoSE=SE’=Mind

Figure1: SevenInductorsmodelthe7layersofconsciousness.

ApersonwithDementiaisgraduallylosingconsciousness.Theystillhaveabrainandreaction, although lessening everyday, but they lose their consciousness mind.

Thenervoussystembeganwithasodiumchloridepump.Thesodiumisapositiveion; thechlorideionisanegativeion.Thisistheunderlyingmechanismofhowelectricalsignaltravelaloneanerveaxon.

So the mass of NaCl (Salt)is:

Na=23

Cl=35.4

Σ58.44

PE=Mc²

=58.44c²=518.7

KE=1/2Mv²

=1/2(58.44)(1/√2)²

=141.6

TE=518.7+146.1=66.5~G

V=iR=66.5=i(0.85)

i=0.788

t²=i²

t=0.8876~0.888⇒workingmemory..

Sowe’vegonefromNaCltoaworkingmemory.

t²-t-1=E

(0.888)²-0.888-1=-10./99~-11

E=(1-lnt)7

=111/7=(1-Lnt)

t=1335=Spaces

This ishowtheworkingmemoryperceivespace.InAlzheimer’spatients, theyarenotcognitiveofspace.Therememorycellsaredying.

We have seen a mathematical comparison of space as perceived by Dementia patients and healthy people.