art theory 101~The LUFE Matrix: distilling SI quantities into ST dimensions.

The LUFE Matrix: The distillation of System International (SI) units into more fundamentally base units of Space-Time (ST) dimensions.

Page 6e-SI Quantities


©1985, 1991, 2003, Reginald Brooks All rights reserved.

Back to the beginning-Page 6a (Intro/Geometry)  | Back to Page 6d (SI Units)

~hover your cursor over the highlighted text to show its matrix location~

Q#1 | Q#2 | Q#3 | Q#4 | Q#5 | Q#6 | Q#7 | Q#8 | Q#9 | Q#10 | Q#11 | Q#12 | Q#13 | Q#14 | Q#15 | Q#16

SI quantities into ST units of The LUFE Matrix
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the LUFE Matrix
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Base units                      Q#1
Quantity Symb. ST unit

length

s, l

SI

mass

m, M

SIII/TII

time

t, T,t

TI

electric
   current

i, I

SIII/TIII

thermodynamic
   temperature

T, T°

1/TI

amount of
   substance

mol

0

luminous
   intensity

I

0

Remember the first four "Rules of the Matrix."
1.-The area on the matrix defines the physical quantity and units .
2.-All net areas and spaces are counted from the origin, 0.
3.Pure spatial or temporal dimensions never appear by themselves in a quadrant.
4.-It is only in perpendicular combination(s) that space and time dimensions dynamically interact to form ST interactional dimensions (STID).
SI quantities into ST units of The LUFE Matrix
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the LUFE Matrix
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Derived units with special names              Q#2

Quantity

Symb.

ST unit

 

plane angle

-

0

solid angle

-

0

luminous flux

-

0

frequency

n , f

1/TI

magnetic flux
   density

B

1/TI

celsius
   temperature

t, T

1/TI

activity (of a
  radioactive
  source)

Ci

1/TI

catalytic
   activity

-

1/TI

electric
   capacitance

C

SI

 
SI quantities into ST units of The LUFE Matrix
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the LUFE Matrix
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Derived units with special names              Q#3

Quantity Symb. ST unit

electric
   conductance

G

SI/TI

magnetic flux

F B

SII/TI

electric
   potential

V, E

SII/TII

absorbed dose
   (of ionizing
   radiation)

 

rad

 

SII/TII

dose
   equivalent

rem

SII/TII

sievert

Sv

SII/TII

pressure,
   stress,
   modulus of
   elasticity

P

 

SII/TIV

s

E

electric
   charge

q, e

SIII/TII

 
SI quantities into ST units of The LUFE Matrix
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the LUFE Matrix
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Derived units with special names              Q#4

Quantity Symb. ST unit

force,
   tension

F

SIV/TIV

T

energy
  
   kinetic
  
  
  potential

E

 

SV/TIV

KE,
E
K

PE,
E
P

power,
   radiant flux

P

Sv/TV

f

electric
  
  resistance
  
  
reactance

  
  impedance

-

-

R

TI/SI

X

Z

inductance

L

TII/SI

illuminance

-

1/SII

 
SI quantities into ST units of The LUFE Matrix
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the LUFE Matrix
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Derived units              Q#5

Quantity Symb. ST unit

fine-structure
   constant,

   e2/4p e 0hc

 

a

 

0

permittivity

-

0

permittivity
   of the
   vacuum

 

e 0

 

0

electric
   constant

   1/m 0c2

 

e 0

 

0

mass fraction

-

0

gravitational
   constant of
   Newton,

   as
G/hc

 G

 

0

G/hc

Coulomb's
   proportion-
   ality
   constant

 

k

 

0

exposure
   (x rays)

-

0

 
SI quantities into ST units of The LUFE Matrix
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the LUFE Matrix
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Derived units              Q#6

Quantity Symb. ST unit

angular
   velocity

w

1/TI

angular
   frequency

w f

1/TI

angular
   acceleration

a

1/TII

mass density

r m

1/TII

electric
   charge
   density

 

r e

 

1/TII

Bohr radius,
   a /4p R¥ =
   4p e 0h2/mee2

 

a 0

 

SI

classical
   electron
   radius
a 2a0

 

re

 

SI

 
SI quantities into ST units of The LUFE Matrix
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the LUFE Matrix
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Derived units              Q#7

Quantity Symb. ST unit

Astronomical
   unit

AU(a)

SI

Parsec

pc

SI

wavelength

l

SI

Compton
   wavelength,

   h/mec
   l C/2p =a a0=
   a 2/4p R¥

 

l C

 

SI

Planck
   length,

   (hG/c3)
1/2

 

lP

 

SI

speed,
   velocity

v

SI/TI

velocity
   of light

c

SI/TI

electron
   velocity

a c

SI/TI

 
SI quantities into ST units of The LUFE Matrix
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the LUFE Matrix
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Derived units              Q#8

Quantity Symb. ST unit

acceleration

a

SI/TII

electric field

E

SI/TII

electric field
   strength

E

SI/TII

electric flux
   density

E

SI/TII

current
   density

j, J

SI/TIII

area

A

SII

specific heat
   capacity

c

SII/TI

specific
   entropy

-

SII/TI

thermal
   diffusivity

-

SII/TI

absorbed dose
   rate

-

SII/TI

specific
   energy

-

SII/TII

 
SI quantities into ST units of The LUFE Matrix
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the LUFE Matrix
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Derived units              Q#9

Quantity Symb. ST unit

magnetic field
   strength

H

SII/TIII

magnetization

M

SII/TIII

dynamic
   viscosity

-

SII/TIII

viscosity

h

SII/TIII

energy
   density

r E, E

SII/TIV

volume

V

SIII

Stefan-
Boltzmann
   constant

 

s

 

SIII/TI

electric flux

F E,Y

SIII/TII

Planck mass,
  
(hc/G)1/2

mP

SIII/TII

magnetic
   potential
   difference

 

F, F

 

SIII/TIII

 
SI quantities into ST units of The LUFE Matrix
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the LUFE Matrix
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Derived units              Q#10

Quantity Symb. ST unit

surface
   tension

g

SIII/TIV

spring
   constant

ks

SIII/TIV

thermal
   conductance

-

SIII/TIV

heat flux

F Q

SIII/TIV

heat flux
   density

f Q, r f

SIII/TV

irradiance

R, E, L

SIII/TV

radiance

R, E, L

SIII/TV

radian flux
   density

f R

SIII/TV

sound
   intensity

I

SIII/TV

center of mass

CM

SIV/TII

 
SI quantities into ST units of The LUFE Matrix
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the LUFE Matrix
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Derived units              Q#11

Quantity Symb. ST unit

electric
   moment

P

SIV/TII

linear
   momentum

p

SIV/TIII

impulse

D p

SIV/TIII

thermal
   conductivity

K

SIV/TIV

moment of
   inertia

I

SV/TII

quadropole
   moment

Qm

SV/TII

magnetic
   moment

m

SV/TIII

angular
   momentum

L

SV/TIII

Boltzmann's
   constant

k

SV/TIII

universal gas
   constant

R

SV/TIII

 
SI quantities into ST units of The LUFE Matrix
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the LUFE Matrix
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Derived units              Q#12

Quantity Symb. ST unit

heat capacity

C

SV/TIII

entropy

S

SV/TIII

Planck's
   constant

h, h

SV/TIII

Bohr
   magneton

m B

SV/TIII

molar energy

 

SV/TIV

work

W

SV/TIV

moment of
   force

-

SV/TIV

heat,
   radiant
   energy

 

Q

 

SV/TIV

internal
   energy

U

SV/TIV

Hartree atomic
   energy unit

H, Eh

SV/TIV

torque

t , T

SV/TIV

 
SI quantities into ST units of The LUFE Matrix
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the LUFE Matrix
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Derived units              Q#13

Quantity Symb. ST unit

radiant flux

F R

Sv/TV

conduction

-

Sv/TV

power,
   energy
   per second

 

P

 

Sv/TV

radiant
   intensity

-

SV/TV

Planck time,
  
(hG/c5)1/2

tP

TI

temperature
   coefficient
   of
   resistivity

 

a r

 

TI

thermal
   expansion
   coefficient

 

a

 

TI

resistivity

r

TI

 
SI quantities into ST units of The LUFE Matrix
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the LUFE Matrix
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Derived units              Q#14

Quantity Symb. ST unit

specific
   volume

v

TII

wave number

-

1/ SI

Rydberg
   constant,

   a 2mec/2h

 

R¥ ,Ry

 

1/ SI

luminance

-

1/SII

amount-of-
   substance
   concentration

-

 

1/SIII

catalytic
   (activity)
   concentration

-

1/

SIIITI

 
SI quantities into ST units of The LUFE Matrix
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the LUFE Matrix
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Derived units              Q#15

Quantity Symb. ST unit

characteristic
   impedance
   of the
   vacuum, as

(m 0/e 0)1/2=m 0c

 

Z 0

 

TI/SI

Josephson
   frequency
   volt
   quotient

 

2e/h

 

TI/SII

magnetic
   constant

m 0

TII/SII

permeability
   of
  free space

 

m 0

 

TII/SII

thermal
   resistance

a R

TIV/SIII

 
SI quantities into ST units of The LUFE Matrix
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the LUFE Matrix
TOP ]

Derived units from the LUFE Matrix              Q#16

Quantity

Symb.

ST unit

 

LUFE
   constant#1

ë c1

SIV/TII

LUFE
   constant#2

ë c2

SI/TI

LUFE
   constant#3

ë c3

TI/SIII

LUFE
   conversion

   factor

 

ë cf

 

TI/SIII

LUFE
   reciprocal

   constant

 

Lrc

 

1/SITI

 

 

 

 

NEXT: On to Page 7- The LUFE Matrix Supplement: Examples and Proofs: Introduction-Layout & Rules _________________________________________________________

Page 6a- Geometry: Introduction-Layout-Rules

Page 6b- Geometry- Space or Time Axis (SOTA)

Page 6c- Geometry- Space-Time Interactional

Dimensions(STID)

Page 6d- Distillation of SI units into ST dimensions

Page 7- The LUFE Matrix Supplement: Examples and Proofs: Introduction-Layout & Rules

Page 8- The LUFE Matrix: Infinite Dimensions




Copyright©2003 Reginald Brooks, BROOKS DESIGN. All Rights Reserved.
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