sábado, 17 de agosto de 2024

geometría-diferencial y teoría-cuántica-de-Gauge-y-teoría-M y relatividad-y-teoría-de-cuerdas y desintegraciones-débil y integrales

Teorema:

Sea f(u,v) = h·sinh(au)+h·cosh(bv)

T(u) = h^{2}·(1/8)·( sinh(2au)·(au)+(-1)·cosh(2au) )

T(v) = h^{2}·(1/8)·( sinh(2bv)·(bv)+(-1)·cosh(2bv) )

Demostración:

int[ sinh(x)·cosh(x)·x ]d[x] = ...

... (1/4)·( ( cosh(x) )^{2}+( sinh(x) )^{2} )·x+(-1)·(1/4)·int[ ( cosh(x) )^{2}+( sinh(x) )^{2} ]d[x] = ...

... (1/4)·cosh(2x)·x+(-1)·(1/8)·sinh(2x)

T(x) = (1/8)·( sinh(2x)·x+(-1)·cosh(2x) )

( cosh(x) )^{2} = (1/2)·( 1+cosh(2x) )

( sinh(x) )^{2} = (1/2)·( (-1)+cosh(2x) )



Lema:

La feina mal feta,

no té futur.

La feina ben feta,

no té fronteres.



Ley:

Es imposible conectar Cygnus-Kepler con la Tierra,

no pasado por el Caos sin la Teoría M.

Es posible conectar Cygnus-Kepler con la Tierra,

no pasado por el Caos con la Teoría M.



Principio: [ de la unificación de las teorías de cuerdas ]

La teoría cuántica de Gauge SO(2, 1 || 2 ) y SO(1,3) ocurre en el espacio,

n = 0.

La teoría de cuerdas SO(4, 1 || 2 ) y SO(2,3) ocurre en el 1 híper-espacio,

n = 1.

La teoría de cuerdas SO(8, 1 || 2 ) y SO(4,3) ocurre en el 2 híper-espacio,

n = 2.

La teoría de cuerdas SO(16, 1 || 2 ) y SO(8,3) ocurre en el 3 híper-espacio,

n = 3.

La teoría de cuerdas SO(32, 1 || 2 ) y SO(16,3) ocurre en el 4 híper-espacio,

n = 4.



Principio: [ de SO(2^{n+1},1) ]

Súper-Electricidad:

F(ut) = e^{sum[k = 1]-[ 2^{n} ][ iq_{k} ]}·( f(ut) )^{2^{n}}

G(ut) = e^{sum[k = 1]-[ 2^{n} ][ (-i)·q_{k} ]}·( g(ut) )^{2^{n}}

2^{n} súper-cargas.

Súper-Gravedad:

F(ut) = e^{sum[k = 1]-[ 2^{n} ][ ip_{k} ]}·( f(ut) )^{2^{n}}

G(ut) = e^{sum[k = 1]-[ 2^{n} ][ (-i)·p_{k} ]}·( g(ut) )^{2^{n}}

2^{n} súper-cargas.

Principio: [ de SO(2^{n+1},2) ]

Súper-Débil:

F(ut) = e^{sum[k = 1]-[ 2^{n} ][ iW_{k}+(-i)·Z_{k} ]}·( f(ut) )^{2^{n}}

G(ut) = e^{sum[k = 1]-[ 2^{n} ][ iZ_{k}+(-i)·W_{k} ]}·( g(ut) )^{2^{n}}

2^{n+1} súper-cargas.

Súper-Gravito-Electro-Débil:

Ley:

( F(ut)·G(ut) ) = ( f(ut)·g(ut) )^{2^{n}}

Ley:

2^{n}·d_{t}[F(ut)]·d_{t}[G(ut)] = ...

... ( f(ut)·g(ut) )^{2^{n}+(-1)}·( 8^{n}·d_{t}[f(ut)]·d_{t}[g(ut)]+M(ut)·( f(ut)·g(ut) ) )

M(ut) = sum[k = 1]-[2^{n}][ i·...

... ( d_{t}[W_{k}]+(-1)·d_{t}[Z_{k}] )·...

... ( d_{t}[Z_{k}]+(-1)·d_{t}[W_{k}] ) ]

Anexo:

Las simetrías de las teorías de cuerdas hacen bosones en los híper-espacios denominados,

híper-cuerdas bosónicas que son una variante del bosón de Higgs de la solución al mecanismo,

y son una masa extra de la velocidad híper-luz.

En el espacio n = 0 no hay taquiones.



Ley:

8^{n}·d_{t}[f(ut)]·d_{t}[g(ut)]+M(ut)·( f(ut)·g(ut) ) = 0

f(ut) = e^{sum[k = 1]-[2^{n}][ ( W_{k}+(-1)·Z_{k} ) ]·( (1/8)^{n}·(-i) )^{(1/2)}}

g(ut) = e^{sum[k = 1]-[2^{n}][ ( Z_{k}+(-1)·W_{k} ) ]·( (1/8)^{n}·(-i) )^{(1/2)}}

Ley:

8^{n}·d_{t}[f(ut)]·d_{t}[g(ut)]+M(ut)·( f(ut)·g(ut) ) = u^{2}·P(ut)·Q(ut)

f(ut) = e^{sum[k = 1]-[2^{n}][ ( W_{k}+(-1)·Z_{k} ) ]·( (1/8)^{n}·(-i) )^{(1/2)}}·...

... int[ (1/8)^{(n/2)}·u·P(ut)·...

... e^{sum[k = 1]-[2^{n}][ ( Z_{k}+(-1)·W_{k} ) ]·( (1/8)^{n}·(-i) )^{(1/2)}} ]d[t]

g(ut) = e^{sum[k = 1]-[2^{n}][ ( Z_{k}+(-1)·W_{k} ) ]·( (1/8)^{n}·(-i) )^{(1/2)}}·...

... int[ (1/8)^{(n/2)}·u·Q(ut)·...

... e^{sum[k = 1]-[2^{n}][ ( W_{k}+(-1)·Z_{k} ) ]·( (1/8)^{n}·(-i) )^{(1/2)}} ]d[t]

Ley:

8^{n}·d_{t}[f(ut)]·d_{t}[g(ut)]+M(ut)·( f(ut)·g(ut) ) = u^{2}·P(ut)·Q(ut)

f(ut) = e^{sum[k = 1]-[2^{n}][ ( W_{k}+(-1)·Z_{k} ) ]·( (1/8)^{n}·(-i) )^{(1/2)}}·( ...

... (1/8)^{(n/2)}·int[ P(ut) ]d[ut] [o(t)o] ...

... e^{sum[k = 1]-[2^{n}][ ( Z_{k}+(-1)·W_{k} ) ]·( (1/8)^{n}·(-i) )^{(1/2)}} [o(t)o] ...

... ( t /o(t)o/ sum[k = 1]-[2^{n}][ ( Z_{k}+(-1)·W_{k} ) ]·( (1/8)^{n}·(-i) )^{(1/2)} ) )

g(ut) = e^{sum[k = 1]-[2^{n}][ ( Z_{k}+(-1)·W_{k} ) ]·( (1/8)^{n}·(-i) )^{(1/2)}}·( ...

... (1/8)^{(n/2)}·int[ Q(ut) ]d[ut] [o(t)o] ...

... e^{sum[k = 1]-[2^{n}][ ( W_{k}+(-1)·Z_{k} ) ]·( (1/8)^{n}·(-i) )^{(1/2)}} [o(t)o] ...

... ( t /o(t)o/ sum[k = 1]-[2^{n}][ ( W_{k}+(-1)·Z_{k} ) ]·( (1/8)^{n}·(-i) )^{(1/2)} ) )



Principio: [ de SO(2^{n},3) ]

Súper-Fuerte:

Protones de 3 quarks:

F(ut) = e^{sum[k = 1]-[ 2^{n} ][ ix_{k}+(-i)·y_{k} ]}·( f(ut) )^{2^{n}}

G(ut) = e^{sum[k = 1]-[ 2^{n} ][ iy_{k}+(-i)·z_{k} ]}·( g(ut) )^{2^{n}}

H(ut) = e^{sum[k = 1]-[ 2^{n} ][ iz_{k}+(-i)·x_{k} ]}·( h(ut) )^{2^{n}}

3·2^{n} súper-cargas.

Neutrones de 3 quarks: 

F(ut) = e^{sum[k = 1]-[ 2^{n} ][ (-i)·x_{k}+iy_{k} ]}·( f(ut) )^{2^{n}}

G(ut) = e^{sum[k = 1]-[ 2^{n} ][ (-i)·y_{k}+iz_{k} ]}·( g(ut) )^{2^{n}}

H(ut) = e^{sum[k = 1]-[ 2^{n} ][ (-i)·z_{k}+ix_{k} ]}·( h(ut) )^{2^{n}}

3·2^{n} súper-cargas.

Ley:

Piones de 2 quarks: 

q = p = 1 & ( x+(-y)+y+(-x) ) = 0

q = p = 0 & ( y+(-z)+z+(-y) ) = 0

p = q = (-1) & ( z+(-x)+x+(-z) ) = 0

Ley:

( F(ut)·G(ut)·H(ut) ) = ( f(ut)·g(ut)·h(ut) )^{2^{n}}

Ley:

2^{n}·d_{t}[F(ut)]·d_{t}[G(ut)]·d_{t}[H(ut)] = ...

... ( f(ut)·g(ut)·h(ut) )^{2^{n}+(-1)}·( ...

.... 16^{n}·d_{t}[f(ut)]·d_{t}[g(ut)]·d_{t}[h(ut)]+M(ut)·( f(ut)·g(ut)·h(ut) ) )

M(ut) = sum[k = 1]-[2^{n}][ i·...

... ( d_{t}[x_{k}]+(-1)·d_{t}[y_{k}] )·...

... ( d_{t}[y_{k}]+(-1)·d_{t}[z_{k}] )·...

... ( d_{t}[z_{k}]+(-1)·d_{t}[x_{k}] ) ]

Ley:

16^{n}·d_{t}[f(ut)]·d_{t}[g(ut)]·d_{t}[h(ut)]+M(ut)·( f(ut)·g(ut)·h(ut) ) = 0

f(ut) = e^{sum[k = 1]-[2^{n}][ ( x_{k}+(-1)·y_{k} ) ]·( (1/16)^{n}·(-i) )^{(1/3)}}

g(ut) = e^{sum[k = 1]-[2^{n}][ ( y_{k}+(-1)·z_{k} ) ]·( (1/16)^{n}·(-i) )^{(1/3)}}

h(ut) = e^{sum[k = 1]-[2^{n}][ ( z_{k}+(-1)·x_{k} ) ]·( (1/16)^{n}·(-i) )^{(1/3)}}



Ley:

En el E_{16} x E_{16} = SO(32,1) con 16 súper-cargas en súper-gravedad,

y híper-cuerdas bosónicas en el mecanismo de potencia 4.

En la E_{8} x E_{8} = SO(16,1) con 8 súper-cargas en súper-gravedad,

y híper-cuerdas bosónicas en el mecanismo de potencia 3.

En el E_{4} x E_{4} = SO(8,1) con 4 súper-cargas en súper-gravedad,

y híper-cuerdas bosónicas en el mecanismo de potencia 2.

En la E_{2} x E_{2} = SO(4,1) con 2 súper-cargas en súper-gravedad,

y híper-cuerdas bosónicas en el mecanismo de potencia 1.



Teoría M akásica:

Demostración de Ed Witten:

Coordenada el la 11-ava dimensión de la teoría de gauge k:

(n+1)·k+x & r+(-1)·(1/2) [< x [< r+(1/2)

Chocando los espacios.

Pudiendo haber n teorías de cuerdas y la teoría cuántica de Gauge.

Las únicas teorías de cuerdas correctas son en:

r = 3 con E_{8} x E_{8} = SO(16,1) y r = 4 con E_{16} x E_{16} = SO(32,1)



Principio:

Dios hizo al hombre a su semejanza:

y la 11-ava dimensión solo tiene 5 coordenadas positivas,

5 negativas y la 0.

No chocan los espacios.



Ley: [ de distribución de súper-cargas en el híper-espacio ]

Sea ( sum[k = 1]-[2^{n}][ P(k) ] = 1 & d[q_{k}] = P(k)·d[q] ) ==> 

d[q] = sum[k = 1]-[2^{n}][ d[q_{k}] ]

Sea ( sum[k = 1]-[2^{n}][ Q(k) ] = 1 & d[p_{k}] = Q(k)·d[p] ) ==>

d[p] = sum[k = 1]-[2^{n}][ d[p_{k}] ]

Gauges de súper-carga:

Ley:

Sea 1 [< k [< 2^{n} ==>

F(ut) = e^{iq·( 2/( 2^{n}·(2^{n}+1) ) )·k}·( f(t) )^{2^{n}}

G(ut) = e^{(-i)·q·( 2/( 2^{n}·(2^{n}+1) ) )·k}·( g(t) )^{2^{n}}

Ley:

Sea 1 [< k [< 2^{n} ==>

F(ut) = e^{iq·( 6/( 2^{n}·(2^{n}+1)·(2^{n+1}+1) ) )·k^{2}}·( f(t) )^{2^{n}}

G(ut) = e^{(-i)·q·( 6/( 2^{n}·(2^{n}+1)·(2^{n+1}+1) ) )·k^{2}}·( g(t) )^{2^{n}}

Ley:

Sea 1 [< k [< 2^{n} ==>

F(ut) = e^{iq·(1/s)^{2^{n}}·( ( (1/2)^{n}+s^{k} )+(-1)·s^{k+(-1)} )}·( f(t) )^{2^{n}}

G(ut) = e^{(-i)·q·(1/s)^{2^{n}}·( ( (1/2)^{n}+s^{k} )+(-1)·s^{k+(-1)} )}·( g(t) )^{2^{n}}

Ley:

Sea 1 [< k [< 2^{n} ==>

F(ut) = e^{iq·(1/2)^{2^{n}}·( (1/2)^{n}+[ 2^{n} // k ] )}·( f(t) )^{2^{n}}

G(ut) = e^{(-i)·q·(1/2)^{2^{n}}·( (1/2)^{n}+[ 2^{n} // k ] )}·( g(t) )^{2^{n}}

Ley:

Sea 1 [< k [< 2^{n} ==>

F(ut) = e^{iq·( (1/2)^{n}·( 1+(-s) )^{2^{n}}+[ 2^{n} // k ]·( 1+(-s) )^{2^{n}+(-k)}·s^{k} )}·...

... ( f(t) )^{2^{n}}

G(ut) = e^{(-i)·q·( (1/2)^{n}·( 1+(-s) )^{2^{n}}+[ 2^{n} // k ]·( 1+(-s) )^{2^{n}+(-k)}·s^{k} )}·...

... ( g(t) )^{2^{n}}

Problemas de teoría M:

Exponed los Gauges de súper-carga de k = 1 en potencia n.

Comprobad que en el espacio n = 0 los Gauges de súper-carga,

son los Gauges de carga de la teoría cuántica de Gauge.



Ley:

Electro-Débil:

Protón-Electrón:

( q+W+(-Z) )+( Z+(-W)+(-q) ) = 0

Gravito-Débil:

Neutrón-Gravitón:

( p+Z+(-W) )+( W+(-Z)+(-p) ) = 0


Ley:

Híper-cuerda bosónica:

potencia n = 1

T = ( f(ut)·g(ut) )^{1}

potencia n = 2

T = ( f(ut)·g(ut) )^{3}

potencia n = 3

T = ( f(ut)·g(ut) )^{7}

potencia n = 4

T = ( f(ut)·g(ut) )^{15 = 3·5}

Ley: [ de las dimensiones de la híper-cuerda bosónica ]

D = sum[n = 0]-[4][ 2^{n}+(-1) ] = 26 dimensiones de híper-energía-cuántica.

Ley: [ de los cardinales de dimensiones ]

(1/20)·| < D,2 >,< 10,10 > | = (10+2) dimensiones

Anexo:

El acelerador de partículas tiene que tener puertas de potencia 1,

y detectar la híper-cuerda bosónica de potencia 1.



Principio: [ de cuerdas relativistas ]

E = hf·( N+M )+(1/2)·mc^{2}·( 1+(-N)+(-M) )

G = hf·( (-N)+(-M) )^{(1/2)}+(1/2)·mc^{2}·( N+M+(-1) )^{(1/2)}

Anexo:

Akásico de los taquiones de la teoría de cuerdas bosónica.

Fotón eléctrico:

N = 1 & M = 0

Fotón gravitatorio:

M = 1 & N = 0

Protón || Electrón:

N = 1 & M = (-1)

Neutrón || Gravitón:

M = 1 & N = (-1)

Ley:

Protón-vs-Neutrón || Electrón-vs-Gravitón

T(v)+2E = mc^{2}·( 1+(-1)·(v/c)^{2} )^{(-1)·(1/2)}

T(v)+2G = imc^{2}·( 1+(-i)·(v/c)^{2} )^{(1/2)}

Ley:

Protón-vs-Electrón || Neutrón-vs-Gravitón

T(v)+E = (1/2)·mc^{2}·( 1+(-1)·(v/c) )^{(-1)}

T(v)+G = (1/2)·imc^{2}·( 1+(-i)·(v/c) )



Principio:

d[ d[A(u,v)] ] = < d[u],d[v] > o ( < M,N >,< M,N > ) o < d[u],d[v] >

d[ d[B(u,v)] ] = < d[u],d[v] > o ( < (-M),(-N) >,< (-M),(-N) > ) o < d[u],d[v] >

Ley:

Fotón eléctrico:

Cuerda cerrada:

(m/2)·d_{t}[u]^{2} = k·A(u,0)

u(t) = (1/a)·e^{(k/m)^{(1/2)}·t}

E = h·(k/m)^{(1/2)}

Tiempo imaginario & Frecuencia real.

(m/2)·d_{t}[u]^{2} = k·B(u,0)

u(t) = (1/a)·e^{(k/m)^{(1/2)}·it}

G = ih·(k/m)^{(1/2)}

Tiempo real & Frecuencia imaginaria.

Fotón gravitatorio:

Cuerda cerrada:

(m/2)·d_{t}[v]^{2} = k·A(0,v)

(m/2)·d_{t}[v]^{2} = k·B(0,v)



Ley:

Protón-vs-Neutrón:

Cuerda abierta < W,Z >:

Protón-vs-Gravitón:

Cuerda abierta < W,(-Z) >:

Sea A(u,v) = E(u,v)+E(v,u) ==>

Sea B(u,v) = G(u,v)+G(v,u) ==>

(m/2)·( d_{t}[u]^{2}+d_{t}[v]^{2} ) = k·( E(u,v)+E(v,u) )

u(t) = (1/a)·Anti-[ ( ( p || q ) /o(p || q)o/ (1/6)·qp^{3}+(-1)·(1/4)·(pq)^{2} )^{[o(p || q)o] (1/2)} ]-( ...

...  ( 2·(k/m) )^{(1/2)}·t )

v(t) = (1/a)·Anti-[ ( ( q || p ) /o(q || p)o/ (1/6)·pq^{3}+(-1)·(1/4)·(qp)^{2} )^{[o(q || p)o] (1/2)} ]-( ...

...  ( 2·(k/m) )^{(1/2)}·t )

Ley:

Gravitón-vs-Electrón:

Cuerda abierta < (-W),(-Z) >:

Neutrón-vs-Electrón:

Cuerda abierta < Z,(-W) >:

Sea A(u,v) = G(u,v)+G(v,u) ==>

Sea B(u,v) = E(u,v)+E(v,u) ==>

(m/2)·( d_{t}[u]^{2}+d_{t}[v]^{2} ) = k·( G(u,v)+G(v,u) )

Ley: [ del U(4) ]

F(ut) = e^{W+Z}·f(ut)

G(ut) = e^{(-W)+(-Z)}·g(ut)

Ley: [ del SU(2) ]

F(ut) = e^{W+(-Z)}·f(ut)

G(ut) = e^{Z+(-W)}·g(ut)



Ley:

Protón-vs-Electrón:

Sea A(u,v) = E(u,0)+(-1)·E(0,v) ==>

Sea B(u,v) = E(0,v)+(-1)·E(u,0) ==>

Cuerda cerrada < W,(-W) >:

(m/2)·( d_{t}[u]^{2}+d_{t}[v]^{2} ) = k·( E(u,0)+(-1)·(1/2)·(1/a)^{2}+(1/2)·(1/a)^{2}+(-1)·E(v,0) )

u(t) = (1/a)·cosh( (k/m)^{(1/2)}·t )

Tiempo imaginario.

v(t) = (1/a)·sin( (k/m)^{(1/2)}·t )

Tiempo real.

Ley:

Neutrón-vs-Gravitón:

Sea A(u,v) = E(0,v)+(-1)·E(u,0) ==>

Sea B(u,v) = E(u,0)+(-1)·E(0,v) ==>

Cuerda cerrada < Z,(-Z) >:

(m/2)·( d_{t}[v]^{2}+d_{t}[u]^{2} ) = k·( E(v,0)+(-1)·E(u,0) )

Ley:

Se emiten fotones eléctricos con energía.

F(ut) = e^{W+(-W)}·f(ut)

Se emiten fotones gravitatorios con energía.

G(ut) = e^{Z+(-Z)}·g(ut)



Ley: [ de desintegración beta-neutrónica ]

F(ut) = e^{p+(-Z)}·f(ut)

G(ut) = e^{q+(-q)+( Z+(-p) )}·g(ut)

neutrón ==> protón + electrón + neutrino gravitatorio

Ley: [ de desintegración beta-protónica ]

F(ut) = e^{q+(-W)}·f(ut)

G(ut) = e^{p+(-p)+( W+(-q) )}·g(ut)

protón ==> neutrón + gravitón + neutrino eléctrico

Ley: [ de desintegración alfa-gravitatoria ]

F(ut) = e^{n·( p+(-p) )+( Z+(-p) )}·f(ut)

G(ut) = e^{(n+(-1))·( p+(-p) )+( p+(-Z) )}·g(ut)

Átomo + neutrino gravitatorio ==> Átomo + neutrón

Ley: [ de desintegración alfa-eléctrica ]

F(ut) = e^{n·( q+(-q) )+( W+(-q) )}·f(ut)

G(ut) = e^{(n+(-1))·( q+(-q) )+( q+(-W) )}·g(ut)

Átomo + neutrino eléctrico ==> Átomo + protón

Ley: [ de desintegración gamma-gravitatoria ]

F(ut) = e^{( p+(-Z) )}·f(ut)

G(ut) = e^{( Z+(-p) )+( Z+(-Z) )}·g(ut)

neutrón ==> neutrino gravitatorio + 2 fotones gravitatorios

Ley: [ de desintegración gamma-eléctrica ]

F(ut) = e^{( q+(-W) )}·f(ut)

G(ut) = e^{( W+(-q) )+( W+(-W) )}·g(ut)

protón ==>  neutrino eléctrico + 2 fotones eléctricos



Color nuclear:

[Av][En][ n >] ( 1+(-1)·(v/c)^{2} )^{(-1)·(1/2)} ]

( < x,y,z > )(k) = ( ( (2n)/(n+k) )+(-1) )

( < x,y,z > )(-k) = ( 1+( (2n)/((-n)+(-k)) ) )

Principio:

F = ( ( (2n)/(n+k) )+(-1) )·(pq)·k·( r^{2}+(-1)·x^{2} )

(-F) = ( 1+(-1)·( (2n)/((-n)+(-k)) ) )·(pq)·k·( r^{2}+(-1)·x^{2} )

Sabor nuclear:

[Av][En][ n >] ( 1+(-1)·(v/c) )^{(-1)} ]

( < W,Z > )(k) = (1/n)·(n+(-k))

( < W,Z > )(-k) = (1/n)·(k+(-n))



Principio:

F(u) = (pq)·k_{n}·(a_{1}·...·a_{n})·h·( r^{n+(-1)}+(-1)·u^{n+(-1)} )^{( 1/(n+(-1)) )}

F(v) = (-1)·(pq)·k_{n}·(a_{n}·...·a_{1})·h·( r^{n+(-1)}+(-1)·v^{n+(-1)} )^{( 1/(n+(-1)) )}

Ley: [ de membranas en ciclos poligonales ]

((mc)/2)·d_{t}[u] = (pq)·k_{n}·(a_{1}·...·a_{n})·h·( r^{n+(-1)}+(-1)·u^{n+(-1)} )^{( 1/(n+(-1)) )}

((mc)/2)·d_{t}[v] = (-1)·(pq)·k_{n}·(a_{n}·...·a_{1})·h·( r^{n+(-1)}+(-1)·v^{n+(-1)} )^{( 1/(n+(-1)) )}

u(t) = r·sin[n+(-2)]( ( (2/(mc))·(pq)·k_{n}·(a_{1}·...·a_{n})·h )·t )

v(t) = r·cos[n+(-2)]( ( (2/(mc))·(pq)·k_{n}·(a_{n}·...·a_{1})·h )·t )

Ley: [ de puertas en ciclos poligonales ]

((mc)/2)·d_{t}[u] = (-1)·(pq)·k_{n}·(a_{1}·...·a_{n})·h·( r^{n+(-1)}+(-1)·u^{n+(-1)} )^{( 1/(n+(-1)) )}

((mc)/2)·d_{t}[v] = (pq)·k_{n}·(a_{n}·...·a_{1})·h·( r^{n+(-1)}+(-1)·v^{n+(-1)} )^{( 1/(n+(-1)) )}

u(t) = r·cos[n+(-2)]( ( (2/(mc))·(pq)·k_{n}·(a_{1}·...·a_{n})·h )·t )

v(t) = r·sin[n+(-2)]( ( (2/(mc))·(pq)·k_{n}·(a_{n}·...·a_{1})·h )·t )

Anexo:

Es Hamiltoniano porque con puertas se va al universo blanco,

y es válida la teoría en el negro.

Ley: [ de ADN con híper-cuerda bosónica ]

((mc)/2)·d_{t}[u] = ...

... (-1)·(pq)·k^{12}·(1/m)^{11}·(1/w)^{26}·(b/m)^{4}·...

... (BAccAB)^{2}·(ABccBA)^{2}·(BACCAB)^{2}·...

... h·( r^{2}+(-1)·u^{2} )^{(1/2)}

((mc)/2)·d_{t}[v] = ...

... (pq)·k^{12}·(1/m)^{11}·(1/w)^{26}·(b/m)^{4}·...

... (BAccAB)^{2}·(ABccBA)^{2}·(BACCAB)^{2}·...

... h·( r^{2}+(-1)·v^{2} )^{(1/2)}

u(t) = r·cos( ...

... ( (2/(mc))·(pq)·k^{12}·(1/m)^{11}·(1/w)^{26}·(b/m)^{4}·...

... (BAccAB)^{2}·(ABccBA)^{2}·(BACCAB)^{2}·h )·t )

v(t) = r·sin( ...

... ( (2/(mc))·(pq)·k^{12}·(1/m)^{11}·(1/w)^{26}·(b/m)^{4}·...

... (BAccAB)^{2}·(ABccBA)^{2}·(BACCAB)^{2}·h )·t )

Ley: [ de propulsor de presión poligonal de híper-cuerda bosónica halcón milenario ]

((mc)/2)·d_{t}[u] = ...

... (-1)·(pq)·k^{14}·(1/m)^{13}·(1/w)^{26}·(abccba)^{2}·(cAccBc)^{5}·...

... h·( r^{2}+(-1)·u^{2} )^{(1/2)}

((mc)/2)·d_{t}[v] = ...

... (pq)·k^{14}·(1/m)^{13}·(1/w)^{26}(abccba)^{2}·(cAccBc)^{5}·...

... h·( r^{2}+(-1)·v^{2} )^{(1/2)}

u(t) = r·cos( ( (2/(mc))·(pq)·k^{14}·(1/m)^{13}·(1/w)^{26}·(abccba)^{2}·(cAccBc)^{5}·h )·t )

v(t) = r·sin( ( (2/(mc))·(pq)·k^{14}·(1/m)^{13}·(1/w)^{26}·(abccba)^{2}·(cAccBc)^{5}·h )·t )

Ley: [ de propulsor de presión poligonal de híper-cuerda bosónica ]

((mc)/2)·d_{t}[u] = ...

... (-1)·(pq)·k^{14}·(1/m)^{13}·(1/w)^{26}·(abccba)^{3}·(cACCBc)^{3}·(CCCCCC)·...

... h·( r^{2}+(-1)·u^{2} )^{(1/2)}

((mc)/2)·d_{t}[v] = ...

... (pq)·k^{14}·(1/m)^{13}·(1/w)^{26}·(abccba)^{3}·(cACCBc)^{3}·(CCCCCC)·...

... h·( r^{2}+(-1)·v^{2} )^{(1/2)}

u(t) = r·cos( ...

... ( (2/(mc))·(pq)·k^{14}·(1/m)^{13}·(1/w)^{26}·(abccba)^{3}·(cACCBc)^{3}·(CCCCCC)·h )·t )

v(t) = r·sin( ...

... ( (2/(mc))·(pq)·k^{14}·(1/m)^{13}·(1/w)^{26}·(abccba)^{3}·(cACCBc)^{3}·(CCCCCC)··h )·t )



Teorema:

int[ Anti-[F(s)]-( e^{x} ) ]d[x] = ...

... ( (1/2)·( Anti-[F(s)]-( e^{x} ) )^{2} [o( Anti-[F(s)]-( e^{x} ) )o] e^{x} ) [o(x)o] (-1)·e^{(-x)}

int[ Anti-[F(s)]-( e^{(-x)} ) ]d[x] = ...

... ( (1/2)·( Anti-[F(s)]-( e^{(-x)} ) )^{2} [o( Anti-[F(s)]-( e^{(-x)} ) )o] e^{(-x)} ) [o(x)o] (-1)·e^{x}

Teorema:

int[ Anti-[F(s)]-( ln(x) ) ]d[x] = ...

... ( (1/2)·( Anti-[F(s)]-( ln(x) ) )^{2} [o( Anti-[F(s)]-( ln(x) ) )o] ln(x) ) [o(x)o] (1/2)·x^{2}

int[ Anti-[F(s)]-( ln(1/x) ) ]d[x] = ...

... ( (1/2)·( Anti-[F(s)]-( ln(1/x) ) )^{2} [o( Anti-[F(s)]-( ln(1/x) ) )o] ln(1/x) ) [o(x)o] (-1)·(1/2)·x^{2}

Teorema:

int[ Anti-[F(s)]-( sinh(x) ) ]d[x] = ...

... ( (1/2)·( Anti-[F(s)]-( sinh(x) ) )^{2} [o( Anti-[F(s)]-( sinh(x) ) )o] sinh(x) ) [o(x)o] ...

... ( sinh(x)+(-1)·ln(cosh(x)) [o(x)o] cosh(x) )

int[ Anti-[F(s)]-( cosh(x) ) ]d[x] = ...

... ( (1/2)·( Anti-[F(s)]-( cosh(x) ) )^{2} [o( Anti-[F(s)]-( cosh(x) ) )o] cosh(x) ) [o(x)o] ...

... ( (-1)·cosh(x)+ln(sinh(x)) [o(x)o] sinh(x) )

Teorema:

int[ Anti-[F(s)]-( arc-sin(x) ) ]d[x] = ...

... ( (1/2)·( Anti-[F(s)]-( arc-sin(x) ) )^{2} [o( Anti-[F(s)]-( arc-sin(x) ) )o] arc-sin(x) ) [o(x)o] ...

... (-1)·(1/3)·( 1+(-1)·x^{2} )^{(3/2)} [o(x)o] ln(x)

int[ Anti-[F(s)]-( arc-cos(x) ) ]d[x] = ...

... ( (1/2)·( Anti-[F(s)]-( arc-cos(x) ) )^{2} [o( Anti-[F(s)]-( arc-cos(x) ) )o] arc-cos(x) ) [o(x)o] ...

... (1/3)·( 1+(-1)·x^{2} )^{(3/2)} [o(x)o] ln(x)

lunes, 12 de agosto de 2024

mecánica-física y Álgebra-lineal y evangelio-stronikiano-y-Caos y arte-matemático y geometría-diferencial-y-teoría-de-cuerdas

Ley: [ de polea estirando con el mismo peso Grúas Móvil Cranes ]

m·d_{tt}^{2}[y] = qg·( 1+(-1)·( y/( d^{2}+y^{2} )^{(1/2)} ) )

Si d = 0 ==> d_{tt}^{2}[y] = 0

(m/2)·d_{t}[y]^{2} = qgd·( (y/d)+(-1)·( 1+(y/d)^{2} )^{(1/2)} )

y(t) = ...

... d·Anti-[ ( s /o(s)o/ ( (1/2)·s^{2}+(-1)·(1/3)·( 1+s^{2} )^{(3/2)} [o(s)o] ln(s) ) )^{[o(s)o] (1/2)} ]-( ...

... ( (2/m)·qgd )^{(1/2)}·(1/d)·t )


Caos:

Reflector de imagen delantero.

Espejo.

Anti-reflector de imagen trasero.

Cristal.


Algoritmo: [ de Jordan ]

Sea F(x,y) = ( < a,b >,< c,d > ) o < x,y > ==>

| < a+(-s),b >,< c,d+(-s) > | = 0 

u(s) = < j,k >

v = < x,y >

< j,k > o < x,y > = (1/b)

Teorema:

Sea F(x,y) = ( < a,a >,< a,a > ) o < x,y > ==>

[EX][EY][ Y o ( < a,a >,< a,a > ) o X = ( < 0,1 >,< 0,2a > ) ]

Demostración:

| < a+(-s),a >,< a,a+(-s) > | = 0

Sea s = 0 ==> 

u(0) = < 1,(-1) >

v = < x,y >

X = ( < 1,x >,< (-1),y > )

Y = ( < y,(-x) >,< 1,1 > )· ( 1/(y+x) )

Y o ( < a,a >,< a,a > ) o X = ( < 0,1 >,< 0,2a > )

y = ( (1/a)+x )

Teorema:

Sea F(x,y) = ( < a,a >,< a,a > ) o < x,y > ==>

[EX][EY][ Y o ( < a,a >,< a,a > ) o X = ( < 2a,1 >,< 0,0 > ) ]

Demostración:

| < a+(-s),a >,< a,a+(-s) > | = 0

Sea s = 2a ==>

u(2a) = < 1,1 >

v = < x,y >

X = ( < 1,x >,< 1,y > )

Y = ( < y,(-x) >,< (-1),1 > )· ( 1/(y+(-x)) )

Y o ( < a,a >,< a,a > ) o X = ( < 2a,1 >,< 0,0 > )

y = ( (1/a)+(-x) )


540 años en el Cielo Inglés:

Dual: [ Tabernacles Party ]

The-he that [ need liquid combustible ]-[ need stare-kate drinking ] that gow to he,

and the-he that bilif in he that [ kirk the gusanel ]-[ drink ].

The-he that [ need solid combustible ]-[ need stare-kate menjjating ] that gow to he,

and the-he that bilif in he that [ kilk the gusanel ]-[ menjjate ].

Dual:

He vare-kate det-sate it-hete and he vare-kate [ fall of the life ]-[ deatrate ].

He not vare-kate det-sate it-hete or he not vare-kate [ fall of the life ]-[ deatrate ].

Dual: [ Magic Kings ]

Varen-kate [ change the space to inter ]-[ intrate to ] the animal-haws

and

varen-kate wotch the sonther of God wizh his mother.

Varen-kate [ connectate the space of ]-[ srake ] his tresors and le varen-kate ofert presents.

Not varen-kate [ change the space to inter ]-[ intrate to ] the animal-haws

and

varen-kate wotch the sonther of God wizhawt his mother.

Not varen-kate [ connectate the space of ]-[ srake ] his tresors or not le varen-kate ofert presents.

Dual:

All the-hies that haveren-kate [ falled of the life ]-[ deatrated ]

haveren-kate to havere-kate scutched the [ pusted of fonems ]-[ speakure ] of God.

All the-hies that haveren-kate [ falled of the life ]-[ deatrated ]

haveren-kate to havere-kate readed the [ pusted of leters ]-[ writure ] of God.


Juan:

El que nace del espíritu,

y Jesucristo lo bautiza,

tiene vida psíquica cristiana en él,

en la ascensión al Cielo.

El que nace del agua,

y Juan lo bautiza,

tiene vida física cristiana en él,

en la des-ascensión del Cielo.


Caos:

Yu reg a pine outer the test,

not pusting fonems of it-hete.

Yu reg a pine inter the test,

pusting fonems of it-hete.


Yu plant a pine outer the test,

not pusting leters of it-hete.

Yu plant a pine inter the test,

pusting leters of it-hete.


I connectate the spaces of the window,

becose stare-kate up the termometer.

I des-connectate the spaces of the window,

becose stare-kate dawn the termometer.


y-dup [o] adalto [o] adalt

y-dawn [o] abajo [o] abaix


Derecho constitucional de Moisés:

No expandirás las fronteras en la Luz que te ha diedo o datxnado Dios,

no siendo próximo de diferente territorio geográfico.

Expandirás las fronteras en el Caos que te ha diedo o datxnado Dios,

siendo próximo de diferente territorio geográfico.

Derecho constitucional de Jesucristo:

El que se irrite con su hermano en la Luz será llevado a juicio,

no siendo prójimo del mismo territorio geográfico.

El que no se irrite con su hermano en el Caos será llevado a juicio,

siendo prójimo del mismo territorio geográfico.


Teorema:

Sea F(x,y) = ( < a,b >,< b,a > ) o < x,y >

[EX][EY][ Y o ( < a,b >,< b,a > ) o X = ( < a+(-b),1 >,< 0,a+b > ) ]

Demostración:

| < a+(-s),b >,< b,a+(-s) > | = 0

Sea s = a+(-b) ==>

u(a+(-b)) = < 1,(-1) >

v = < x,y >

X = ( < 1,x >,< (-1),y > )

Y = ( < y,(-x) >,< 1,1> )·( 1/(y+x) )

Y o ( < a,b >,< b,a > ) o X = ( < a+(-b),1 >,< 0,a+b > )

y = (1/b)+x


Examen de álgebra lineal:

Teorema:

Sea E_{+} = { B € M_{nn}(K) : B = A+A^{T} } ==>

Sea E_{-} = { B € M_{nn}(K) : B = A+(-1)·A^{T} } ==>

dim(E_{+}) = (1/2)·( n^{2}+n )

dim(E_{-}) = (1/2)·( n^{2}+(-n) )

Demostración:

(u+v)·A+(u+(-v))·A^{T} = u·( A+A^{T} )+v·( A+(-1)·A^{T} ) = 0

Si u = 0 ==> v·( A+(-1)·A^{T} ) = 0 ==> v = 0

Si v = 0 ==> u·( A+A^{T} ) = 0 ==> u = 0

( u = 0 <==> v = 0 )

Sea u != 0 ==> (u+v)·A+(u+(-v))·A^{T}+(-u)·( A+A^{T} ) = v·( A+(-1)·A^{T} ) = 0 ==> v = 0

( u = 0 & v = 0 )

A = (1/2)·( A+A ) = (1/2)·( A+( A^{T}+(-1)·A^{T} )+A ) = (1/2)·( ( A+A^{T} )+( A+(-1)·A^{T} ) )

M_{nn}(K) = E_{+} [+] E_{-}


Ley:

d_{t}[x] = v·( 1/( (vat)^{n}+e^{nax}·( 1/(ax) ) ) )·(vat)^{n+(-1)}

x(t) = (1/a)·Anti-[ e^{ns}·ln(s) ]-( (1/n)·(vat)^{n} )

Ley:

d_{t}[x] = v·( 1/( (vat)^{n}+e^{nax}·cos(ax) ) )·(vat)^{n+(-1)}

x(t) = (1/a)·Anti-[ e^{ns}·sin(s) ]-( (1/n)·(vat)^{n} )


Ley:

El Cielo es la ascensión con tu cuerpo,

no estando dentro de un infiel,

resurrección de vida.

El Infierno es la ascensión sin tu cuerpo,

estando dentro de un infiel,

resurrección de condenación.


Arte:

[En][ ( (1/m)+1 )·n^{p} = sum[k = 1]-[n][ k ]+O( n^{p} ) ]

[En][ ( (1/m)+1 )·n^{p} = sum[k = 1]-[n][ (1/k) ]+O( n^{p} ) ]

Exposición:

n = 1

0 [< (1/m) [< 1 [< 2

u(k) = (1/n)

v(1/k) = (1/n)

0 [< (1/m)+1+(-1)·(1/n)^{p} [< 2

Arte:

[En][ sum[k = 1]-[n][ k ]+(1/m)·( 1/( n^{p}+(-1) ) ) = O( 1/( n^{p}+(-1) ) ) ]

[En][ sum[k = 1]-[n][ (1/k) ]+(1/m)·( 1/( n^{p}+(-1) ) ) = O( 1/( n^{p}+(-1) ) ) ]

Exposición:

n = 1

0 [< (1/m) [< 1 [< 2

u(k) = (1/n)^{p+1}

v(1/k) = (1/n)^{p+1}

f(0) = s

g(s) = (-1)

0 [< 1 [< 1+(1/m) [< 2

Arte:

[En][ sum[k = 1]-[n][ k ] = (1/m)·n^{p}+O( n^{p} ) ]

[En][ sum[k = 1]-[n][ (1/k) ] = (1/m)·n^{p}+O( n^{p} ) ]

Exposición:

n = 1

0 [< 1+(-1)·(1/m) [< 1

u(k) = n^{p+(-1)}

v(1/k) = n^{p+(-1)}

0 [< 1+(-1)·(1/m) [< 1

Arte:

[En][ sum[k = 1]-[n][ k ]+(1/m)·n^{p} = ( ln(n) )^{p}+O( n^{p} ) ]

[En][ sum[k = 1]-[n][ (1/k) ]+(1/m)·n^{p} = ( ln(n) )^{p}+O( n^{p} ) ]

Exposición:

n = 1

0 [< 1+(1/m) [< 2

u(k) = n^{p+(-1)}

v(1/k) = n^{p+(-1)}

0 [< ( ln(n)/n )^{p} [< 1

0 [< (1/m) [< 1+(1/m)+(-1)·( ln(n)/n )^{p} [< 1+(1/m) [< 2


Definición: [ de primera forma fundamental ]

d[ d[S(u)] ] = d_{u}[f(u,v)]^{2}·d[u]d[u]

d[ d[S(v)] ] = d_{v}[f(u,v)]^{2}·d[v]d[v]

Teorema:

d[ d[ S(u)+S(v) ] ] = ...

... < d[u],d[v] > ...

... o ...

... ( < d_{u}[f(u,v)]^{2},0 >,< 0,d_{v}[f(u,v)]^{2} > ) ...

... o ...

... < d[u],d[v] >

Demostración:

d[ d[ S(u)+S(v) ] ] = d[ d[S(u)]+d[S(v)] ] = d[ d[S(u)] ]+d[ d[S(v)] ] = ...

... d_{u}[f(u,v)]·d_{u}[f(u,v)]·d[u]d[u]+d_{v}[f(u,v)]·d_{v}[f(u,v)]·d[v]d[v] = ...

... < d[u],d[v] > ...

... o ...

... ( < d_{u}[f(u,v)]^{2},0 >,< 0,d_{v}[f(u,v)]^{2} > ) ...

... o ...

... < d[u],d[v] >

Teorema:

S(u)+S(v) = int-int[ ...

... < d[u],d[v] > ...

... o ...

... ( < d_{u}[f(u,v)]^{2},0 >,< 0,d_{v}[f(u,v)]^{2} > ) ...

... o ...

... < d[u],d[v] > ]

Demostración:

S(u)+S(v) = int-int[ d[ d[ S(u)+S(v) ] ] ] = int-int[ ...

... < d[u],d[v] > ...

... o ...

... ( < d_{u}[f(u,v)]^{2},0 >,< 0,d_{v}[f(u,v)]^{2} > ) ...

... o ...

... < d[u],d[v] > ]

Teorema:

Sea f(u,v) = g(au)+h(av) ==>

S(u) = ( G(au) )^{[o( (1/2)·(au)^{2} )o] 2}

S(v) = ( H(av) )^{[o( (1/2)·(av)^{2} )o] 2}

Demostración:

S(u) = int-int[ d[ d[S(u)] ] ] = int-int[ d_{u}[f(u,v)]^{2} ]d[u]d[u] = ...

... int-int[ d_{u}[g(au)+h(av)]^{2} ]d[u]d[u] = int-int[ ( d_{u}[g(au)]+d_{u}[h(av)] )^{2} ]d[u]d[u] = ...

... int-int[ ( d_{u}[g(au)]+0 )^{2} ]d[u]d[u] = int-int[ d_{u}[g(au)]^{2} ]d[u]d[u] = ...

... int-int[ d_{au}[g(au)]^{2} ]d[au]d[au] = int[ ( g(au) )^{[o(au)o] 2} ]d[au] = ...

... ( G(au) )^{[o( (1/2)·(au)^{2} )o] 2}


Definición: [ de segunda forma fundamental ]

d[ d[T(u)] ] = d_{uu}^{2}[f(u,v)]·d_{u}[f(u,v)]·u·d[u]d[u]

d[ d[T(v)] ] = d_{vv}^{2}[f(u,v)]·d_{v}[f(u,v)]·v·d[v]d[v]

Teorema:

d[ d[ T(u)+T(v) ] ] = ...

... < d[u],d[v] > ...

... o ...

... ( < d_{uu}^{2}[f(u,v)]·d_{u}[f(u,v)]·u,0 >,< 0,d_{vv}^{2}[f(u,v)]·d_{v}[f(u,v)]·v > ) ...

... o ...

... < d[u],d[v] >

Demostración:

d[ d[ T(u)+T(v) ] ] = d[ d[T(u)]+d[T(v)] ] = d[ d[T(u)] ]+d[ d[T(v)] ] = ...

... d_{uu}^{2}[f(u,v)]·d_{u}[f(u,v)]·u·d[u]d[u]+d_{vv}^{2}[f(u,v)]·d_{v}[f(u,v)]·v·d[v]d[v] = ...

... < d[u],d[v] > ...

... o ...

... ( < d_{uu}^{2}[f(u,v)]·d_{u}[f(u,v)]·u,0 >,< 0,d_{vv}^{2}[f(u,v)]·d_{v}[f(u,v)]·v > ) ...

... o ...

... < d[u],d[v] >

Teorema:

T(u)+T(v) = int-int[ ...

... < d[u],d[v] > ...

... o ...

... ( < d_{uu}^{2}[f(u,v)]·d_{u}[f(u,v)]·u,0 >,< 0,d_{vv}^{2}[f(u,v)]·d_{v}[f(u,v)]·v > ) ...

... o ...

... < d[u],d[v] > ]

Demostración:

T(u)+T(v) = int-int[ d[ d[ T(u)+T(v) ] ] ] = int-int[ ...

... < d[u],d[v] > ...

... o ...

... ( < d_{uu}^{2}[f(u,v)]·d_{u}[f(u,v)]·u,0 >,< 0,d_{vv}^{2}[f(u,v)]·d_{v}[f(u,v)]·v > ) ...

... o ...

... < d[u],d[v] > ]

Teorema:

Sea f(u,v) = g(au)+h(av) ==>

T(u) = (1/2)·( g(au) )^{[o(au)o] 2} [o( (1/2)·(au)^{2} )o] (1/6)·(au)^{3}

T(v) = (1/2)·( h(av) )^{[o(av)o] 2} [o( (1/2)·(av)^{2} )o] (1/6)·(av)^{3}

Demostración:

T(u) = int-int[ d[ d[T(u)] ] ] = int-int[ d_{uu}^{2}[f(u,v)]·d_{u}[f(u,v)]·u ]d[u]d[u] = ...

... int-int[ d_{uu}^{2}[g(au)+h(av)]·d_{u}[g(au)+h(av)]·u ]d[u]d[u] = ...

... int-int[ ( d_{uu}^{2}[g(au)]+d_{uu}^{2}[h(av)] )·( d_{u}[g(au)]+d_{u}[h(av)] )·u ]d[u]d[u] = ...

... int-int[ ( d_{uu}^{2}[g(au)]+0 )·( d_{u}[g(au)]+0 )·u ]d[u]d[u] = ...

... int-int[ d_{uu}^{2}[g(au)]·d_{u}[g(au)]·u ]d[u]d[u] = ...

... int-int[ d_{auau}^{2}[g(au)]·d_{au}[g(au)]·au ]d[au]d[au] = ...

... int[ (1/2)·d_{au}[g(au)]^{2} [o(au)o] (1/2)·(au)^{2} ]d[au] = ...

... (1/2)·( g(au) )^{[o(au)o] 2} [o( (1/2)·(au)^{2} )o] (1/6)·(au)^{3}


Teorema:

Se f(u,v) = he^{n·au}+he^{n·av} ==> ...

... S(u) = h^{2}·(1/4)·e^{2n·au}

... T(u) = h^{2}·(au)^{3}·er-h-[2]-[3](2n·au)

Demostración:

int[ h^{2}·an·(1/2)·e^{2n·au} ]d[2n·au] = h^{2}·an·(1/2)·e^{2n·au}

int[ h^{2}·(1/4)·e^{2n·au} ]d[2n·au] = h^{2}·(1/4)·e^{2n·au}

int[ h^{2}·a·( 1/(2n) )^{2}·(2n·au)·e^{2n·au} ]d[2n·au] = h^{2}·a·(au)^{2}·er-h-[2](2n·au)

int[ h^{2}·( 1/(2n) )^{3}·(2n·au)^{2}·er-h-[2](2n·au) ]d[2n·au] = h^{2}·(au)^{3}·er-h-[2]-[3](2n·au)


Muelles de cuerda psíquicos:

(m/2)·d_{t}[u]^{2} = (1/2)·k·S(u)

u(t) = (1/a)·Anti[ ( s /o(s)o/ ( 1/(2n) )·e^{2n·s} )^{[o(s)o] (1/2)} ]-( (1/2)·(k/m)^{(1/2)}·hat ) )

Ley:

(m/2)·d_{t}[u]^{2} = (1/2)·k·T(u)

u(t) = (1/a)·Anti[ ( s /o(s)o/ s^{4}·er-h-[2]-[3]-[4](2n·s) )^{[o(s)o] (1/2)} ]-( (k/m)^{(1/2)}·hat ) )

Proyectiles de cuerda:

Ley:

(m/2)·d_{t}[u]^{2} = qg·( S(u) )^{(1/2)}

u(t) = ...

... (1/a)·Anti[ ( s /o(s)o/ (1/(2n))·e^{2n·s} )^{[o(s)o] (1/4)} ]-( ( (1/2)·(1/m)·(qgh) )^{(1/2)}·at ) )

Ley:

(m/2)·d_{t}[u]^{2} = qg·( T(u) )^{(1/2)}

u(t) = ...

... (1/a)·Anti[ ( s /o(s)o/ s^{4}·er-h-[2]-[3]-[4](2n·s) )^{[o(s)o] (1/4)} ]-( ( (2/m)·(qgh) )^{(1/2)}·at ) )


Teorema:

Se f(u,v) = h·(au)^{n+1}+h·(av)^{n+1} ==> ...

... S(u) = h^{2}·(n+1)^{2}·( 1/(2n+1) )·( 1/(2n+2) )·(au)^{2n+2}

... T(u) = h^{2}·n·(n+1)^{2}·( 1/(2n+1) )·( 1/(2n+2) )·(au)^{2n+2}

Demostración:

int[ h^{2}·(n+1)^{2}·a·(au)^{2n} ]d[au] = h^{2}·(n+1)^{2}·( 1/(2n+1) )·a·(au)^{2n+1}

int[ h^{2}·(n+1)^{2}·( 1/(2n+1) )·(au)^{2n+1} ]d[au] = ...

... h^{2}·(n+1)^{2}·( 1/(2n+1) )·( 1/(2n+2) )·(au)^{2n+2}

int[ h^{2}·n·(n+1)^{2}·a·(au)^{2n} ]d[au] = h^{2}·n·(n+1)^{2}·( 1/(2n+1) )·a·(au)^{2n+1}

int[ h^{2}·n·(n+1)^{2}·( 1/(2n+1) )·(au)^{2n+1} ]d[au] = ...

... h^{2}·n·(n+1)^{2}·( 1/(2n+1) )·( 1/(2n+2) )·(au)^{2n+2}


Definición: [ de primera forma fundamental cruzada ]

d[ d[A(u,v)] ] = d_{u}[f(u,v)]^{2}·(u/v)·d[u]d[v]

d[ d[A(v,u)] ] = d_{v}[f(u,v)]^{2}·(v/u)·d[v]d[u]

Teorema:

d[ d[ A(u,v)+A(v,u) ] ] = ...

... < d[u],d[v] > ...

... o ...

... ( < 0,d_{u}[f(u,v)]^{2}·(u/v) >,< d_{v}[f(u,v)]^{2}·(v/u),0 > ) ...

... o ...

... < d[u],d[v] >

Teorema:

A(u,v)+A(v,u) = int-int[ ...

... < d[u],d[v] > ...

... o ...

... ( < 0,d_{u}[f(u,v)]^{2}·(u/v) >,< d_{v}[f(u,v)]^{2}·(v/u),0 > ) ...

... o ...

... < d[u],d[v] > ]


Ley:

Sea f(u,v) = he^{n·au}+he^{n·bv} ==>

A(u,v) = h^{2}·(au)^{2}·er-h-[2](2n·au)·ln(bv)

A(v,u) = h^{2}·(bv)^{2}·er-h-[2](2n·bv)·ln(au)

(m/2)·( d_{t}[u]^{2}+d_{t}[v]^{2} ) = (1/2)·k·( A(u,v)+A(v,u) )

u(t) = ...

... (1/a)·Anti[ ( ( p || q ) /o(p || q)o/ ( p^{3}·er-h-[2]-[3](2np)·( ln(q)·q+(-q) ) ) )^{[o(p || q)o] (1/2)} ]-( ...

... (k/m)^{(1/2)}·hat )

v(t) = ...

... (1/b)·Anti[ ( ( q || p ) /o(q || p)o/ ( q^{3}·er-h-[2]-[3](2nq)·( ln(p)·p+(-p) ) ) )^{[o(q || p)o] (1/2)} ]-( ...

... (k/m)^{(1/2)}·hbt )


Examen de Geometría diferencial y Teoría de cuerdas:

Ley:

Sea f(u,v) = he^{n·au}+he^{n·bv} ==>

A(u,v) = h^{2}·(au)^{2}·er-h-[2](2n·au)·ln(bv)

A(v,u) = h^{2}·(bv)^{2}·er-h-[2](2n·bv)·ln(au)

(m/2)·( d_{t}[u]^{2}+d_{t}[v]^{2} ) = qg·( ( A(u,v) )^{(1/2)}+( A(v,u) )^{(1/2)} )

u(t) = ?

v(t) = ?


Definición: [ de segunda forma fundamental cruzada ]

d[ d[B(u,v)] ] = d_{uu}^{2}[f(u,v)]·d_{v}[f(u,v)]·u·d[u]d[v]

d[ d[B(v,u)] ] = d_{vv}^{2}[f(u,v)]·d_{u}[f(u,v)]·v·d[v]d[u]

Teorema:

d[ d[ B(u,v)+B(v,u) ] ] = ...

... < d[u],d[v] > ...

... o ...

... ( < 0,d_{uu}^{2}[f(u,v)]·d_{v}[f(u,v)]·u >,< d_{vv}^{2}[f(u,v)]·d_{u}[f(u,v)]·v,0 > ) ...

... o ...

... < d[u],d[v] >


Experimento: [ de las 3 dimensiones espaciales psíquicas imaginarias ]

Se junta en el laboratorio un hexágono con un pentágono y se hace pasar un corriente eléctrico,

después se introduce materia por el hexágono y se tiene que volver espectral.

Ley: 

El ADN demuestra las 3 dimensiones espaciales psíquicas imaginarias,

y las 2 dimensiones de cuerda que se saben que existen por el avión anti-radar.

Ley:

La 11-ava dimensión no se puede demostrar sin corriente gravitatorio.

y se demuestra con un polígono par.

La 12-ava dimensión no se puede demostrar sin corriente gravitatorio.

y se demuestra con dos polígonos par-impar.


Ley: [ de cardinal de dimensiones eléctricas de la teoría de cuerdas ]

Si ( f(x_{k}) = k & f(t) = 4 ) ==> ...

... sum[k = 1]-[3][ f(x_{k}) ]+f(t) = 10 dimensiones eléctricas

Espacio físico:

< x,y,z > € R x R x R

Espacio psíquico:

< xi,yi,zi > € Ri x Ri x Ri

Tiempo y Tiempo imaginario:

< t,it > € R x Ri

Cuerda luminosa y Cuerda tenebrosa:

< u,v > € C x C 

Ley: [ de cardinal de dimensiones gravitatorias de la teoría M ]

Si ( f(x_{k}) = k & f(t) = (-4) ) ==> ...

... sum[k = 1]-[3][ f(x_{k}) ]+f(t) = 2 dimensiones gravitatorias

Híper-espacios y Ascensión al Cielo:

< n,ni > € Z x Zi


Ley:

( 1/( 1+(-1)·(1/c)^{2}·(1/2)·d_{t}[x_{i}]·d_{t}[x_{j}]·R_{ijx}^{x} ) )·...

... m·( d_{t}[x]^{2}+(-1)·(1/2)·d_{t}[x_{i}]·d_{t}[x_{j}]·R_{ijx}^{x} ) = E(t)·f(ax)

x(t) = (1/a)·Anti-[ ( s /o(s)o/ F(s) )^{[o(s)o] ( 1/( 2+(-1)·[2:1] ) )} ]-( ...

... int[ ( (2/m)·E(t)·( 2^{(1/2)}·(ci) )^{(-1)·[2:1]} )^{( 1/( 2+(-1)·[2:1]) )}·a ]d[t] )

Ley:

( 1/( 1+(-1)·(1/c)·(1/2)·d_{t}[x_{k}]·R_{xxk}^{x} ) )·...

... mc·( d_{t}[x]+(-1)·(1/2)·d_{t}[x_{k}]·R_{xxk}^{x} ) = E(t)·f(ax)

x(t) = (1/a)·Anti-[ ( s /o(s)o/ F(s) )^{[o(s)o] ( 1/( 1+(-1)·[1:1] ) )} ]-( ...

... int[ ( (2/(mc))·E(t)·( 2·(-c) )^{(-1)·[1:1]} )^{( 1/( 1+(-1)·[1:1]) )}·a ]d[t] )


Ley:

( 1/( 1+(-1)·(1/c)^{2}·(1/2)·d_{t}[x_{i}]·d_{t}[x_{j}]·R_{ijx}^{x} ) )·...

... m·( d_{t}[x]^{2}+(-1)·(1/2)·d_{t}[x_{i}]·d_{t}[x_{j}]·R_{ijx}^{x} ) = E·f(ax)

x(t) = (1/a)·Anti-[ ( s /o(s)o/ F(s) )^{[o(s)o] ( 1/( 2+(-1)·[2:1] ) )} ]-( ...

... ( (2/m)·E·( 2^{(1/2)}·(ci) )^{(-1)·[2:1]} )^{( 1/( 2+(-1)·[2:1]) )}·at )

Ley:

( 1/( 1+(-1)·(1/c)·(1/2)·d_{t}[x_{k}]·R_{xxk}^{x} ) )·...

... mc·( d_{t}[x]+(-1)·(1/2)·d_{t}[x_{k}]·R_{xxk}^{x} ) = E·f(ax)

x(t) = (1/a)·Anti-[ ( s /o(s)o/ F(s) )^{[o(s)o] ( 1/( 1+(-1)·[1:1] ) )} ]-( ...

... ( (2/(mc))·E·( 2·(-c) )^{(-1)·[1:1]} )^{( 1/( 1+(-1)·[1:1]) )}·at )


Ley:

( 1/( 1+(-1)·(1/c)^{2}·(1/2)·d_{t}[x_{i}]·d_{t}[x_{j}]·R_{ijx}^{x} ) )·...

... m·( d_{t}[x]^{2}+(-1)·(1/2)·d_{t}[x_{i}]·d_{t}[x_{j}]·R_{ijx}^{x} ) = ...

... (1/m)·(qg)^{2}·(1/2)·t^{2}·f(ax)

x(t) = (1/a)·Anti-[ ( s /o(s)o/ F(s) )^{[o(s)o] ( 1/( 2+(-1)·[2:1] ) )} ]-( ...

... ( (1/m)^{2}·(qg)^{2}·(1/3)·t^{3}·( 2^{(1/2)}·(ci) )^{(-1)·[2:1]} )^{[o(t)o] ( 1/( 2+(-1)·[2:1]) )}·a )

Ley:

( 1/( 1+(-1)·(1/c)·(1/2)·d_{t}[x_{k}]·R_{xxk}^{x} ) )·...

... mc·( d_{t}[x]+(-1)·(1/2)·d_{t}[x_{k}]·R_{xxk}^{x} ) = (1/m)·(qg)^{2}·(1/2)·t^{2}·f(ax)

x(t) = (1/a)·Anti-[ ( s /o(s)o/ F(s) )^{[o(s)o] ( 1/( 1+(-1)·[1:1] ) )} ]-( ...

... ( (1/c)·(1/m)^{2}·(qg)^{2}·(1/3)·t^{3}·( 2·(-c) )^{(-1)·[1:1]} )^{[o(t)o] ( 1/( 1+(-1)·[1:1]) )}·a )


Ley: [ de gustos gravitatorios ]

Salado [o] Soso

Ácido [o] Dulce

Picante [o] Amargo

Alcohólico [o] Húmedo

Ley: [ de colores eléctricos ]

Rojo [o] Verde

Azul [o] Taronja

Amarillo [o] Violeta

Blanco [o] Negro

Marrón [o] Gris