AUCTORES
Globalize your Research
Research Article | DOI: https://doi.org/10.31579/2690-8808/025
BScE, DULE, 23 Park Ave., Saint John, NB E2J 1R2, Canada
*Corresponding Author: Paul T E Cusack, BScE, DULE, 23 Park Ave., Saint John, NB E2J 1R2, Canada.
Citation: Paul T E Cusack, (2020) Perception of Space & Dementia. J Clinical Case Reports and Studies, 1(5): Doi: 10.31579/2690-8808/025
Copyright: © 2020. Paul T E Cusack. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Received: 01 September 2020 | Accepted: 07 September 2020 | Published: 10 September 2020
Keywords: Space; AT Math; Energy; time; Mass; Dementia; Brain.
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
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.