Particle Physics & Cosmology Posters

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    r 1 M1,

    r 2 M2,

    M1

    M2

    2

    9r2

    r1

    5

    9

    . St

    dgE

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    GrGr

    apaphh

    1515

    http://www.deltagroupengineering.com/public

    ations.htm

    FOR MORE INFO...

    dgE

    1 .10 43 1 .10 42 1 .10 41 1 .10 40 1 .10 39 1 .10 38 1 .10 37 1 .10 36 1 .10 35 1 .10 34 1 .10 33 1 .10 32 1 .10 31 1 .10 30

    0

    5 .1041

    1 .1042

    1.5 .1042

    2 .1042

    2.5 .1042

    Mag. of Hubble Cons. vs. Cosm. Age

    Cosmological Age (s)

    (Hz

    )

    dH dt H

    dH dt e

    1

    5 2. 1

    dH dt e

    1

    5 2

    5 2. 1..

    dH dt e

    5 2. 5

    2. 4. 2

    5 2. 5

    2. 5 2. 1. 2.

    1

    H

    t 1

    H

    H .

    1

    Primordial Inflation

    Thermal Inflation

    Hubble Inflation

    Hubble Expansion

    Max. Cosmological Temp. Line: 3.2x1031(K)

    Big-Bang: 0(K)

    t4

    t = ()

    -1 www.deltagroupengineering.com dgE

    H h

    x

    1 .1043

    1 .1042

    1 .1041

    1 .1040

    1 .1039

    1 .1038

    1 .1037

    1 .1036

    7.10

    84

    6 .1084

    5 .1084

    4 .1084

    3 .1084

    2 .1084

    1 .1084

    0

    1 .1084

    2 .1084

    1st Derivative of the Hubble Constant

    Cosmological Age (s)

    (Hz^2)

    0

    dH dt H

    dH dt e

    1

    5 2. 1

    dH dt e

    1

    5 2

    5 2. 1..

    dH dt e

    5 2. 5

    2. 4. 2

    5 2. 5

    2. 5 2. 1. 2.

    1

    H

    t 1

    H

    H .

    1

    1 .1043

    1 .1042

    1 .1041

    1 .1040

    1 .1039

    1 .1038

    1 .1037

    1 .1036

    7.10

    84

    6 .1084

    5 .1084

    4 .1084

    3 .1084

    2 .1084

    1 .1084

    0

    1 .1084

    2 .1084

    1st Derivative of the Hubble Constant

    Cosmological Age (s)

    (Hz^2)

    0

    dH dt H

    dH dt e

    1

    5 2. 1

    dH dt e

    1

    5 2

    5 2. 1..

    dH dt e

    5 2. 5

    2. 4. 2

    5 2. 5

    2. 5 2. 1. 2.

    1

    H

    t 1

    H

    H .

    1

    t4

    Max. Cosmological Temp. Line: 3.2x1031(K)

    Region of negative Hubble gradient

    Region of positive Hubble gradient

    Cosmological Inflation Cosmological Expansion

    EGMThe Cosmological Evolution Process

    Derived From Particle-Physics

    H = dH dt H

    H 2 H.

    H5

    2.

    5 ln1

    H

    . 2. 1.

    T U2 H( ) KW St T. ln

    H

    H. H

    5 2.

    .

    r1 M 1,

    r2 M 2,

    M 1

    M 2

    2

    9r2

    r1

    5

    9

    . St H = HH

    H 0.37h

    St T4 .

    4 .( )

    c.

    x h2.

    2 2.

    .

    hc

    5

    G h. x 4

    2 .

    .

    H h

    x

    Applied Physical Constants

    NIST 2002 CODATA

    c = 2.99792458108 (ms-1)

    G 6.674210-11 (m3kg-1s-2)

    h 6.626069310-34

    (Js) KW 2.897768510

    -3 (mK)

    Derived Mathematical Constants

    x, StT, H, 4.595349, = 1/3

    Graphic Range Variables

    H, H, t 67.084304 4.500304103 2.724752AU 14.57588510

    9(yr)

    3.8459941061 1.47916710123 2.0599451031t4 2.09326710-41(s)

    00 3.1955181031t1 2.20628710-42(s)

    8.4609411061 -7.158752101230H-1 3.64696710-43(s)

    +--0

    |H| (km/s/Mpc)dHdt (km/s/Mpc)2TU2 (K)Time

    Derived Physical Properties

    Photon mass: m 3.19509510-45(eV)

    Graviton mass: mgg = 2m Minimum gravitational lifetime of

    starving matter: TL = h/m = 2h/mgg 4.1017311022(yr) 2.8140531012AU Cosmological Constant:

    0 6.750456103 (km/s/Mpc)2

    0/c2 7.88843110-47 (km-2)

    [3c2/8G]0 1.13960810-9 (Pa)

    See: Quinta Essentia Part 2, 3, 4 for the complete mathematical derivations and computational algorithms.

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    1 .10 43 1 .10 42 1 .10 41 1 .10 40 1 .10 39 1 .10 38 1 .10 37 1 .10 36

    7 .1084

    6 .1084

    5 .1084

    4 .1084

    3 .1084

    2 .1084

    1 .1084

    0

    1 .1084

    2 .1084

    1st Derivative of the Hubble Constant

    Cosmological Age (s)

    (Hz^

    2)

    0

    dH dt H

    dH dt e

    1

    5 2. 1

    dH dt e

    1

    5 2

    5 2. 1..

    dH dt e

    5 2. 5

    2. 4. 2

    5 2. 5

    2. 5 2. 1. 2.

    1

    H

    t 1

    H

    H .

    1

    t4

    Max. Cosmological Temp. Line: 3.2x1031(K)

    Region of positive Hubble gradient

    Big-Bang: 0(K) www.deltagroupengineering.com dgE

    EGMThe Cosmological Evolution Process

    Derived From Particle-Physics

    St T4 .

    4 .( )

    c.

    x h2.

    2 2.

    .

    hc

    5

    G h. x 4

    2 .

    .

    H

    h

    x

    H 0.37h

    St T4 .

    4 .( )

    c.

    x h2.

    2 2.

    .

    hc

    5

    G h. x 4

    2 .

    .

    H

    h

    x

    H =

    t = ()

    -1

    1 .1042

    1 .1041

    1 .1040

    1 .10125

    0

    1 .10125

    2 .10125

    3 .10125

    4 .10125

    5 .10125

    6 .10125

    7 .10125

    8 .10125

    2nd Derivative of the Hubble Constant

    Cosmological Age (s)

    (Hz^3)

    0

    dH2 dt2 H

    dH2 dt2 e

    1

    5 2. 1

    dH2 dt2 e

    1

    5 2

    5 2. 1..

    dH2 dt2 e

    5 2. 5

    2. 4. 2

    5 2. 5

    2. 5 2. 1. 2.

    t 5

    H

    H .

    1

    dH2 dt2 H

    H 3

    H2.

    H5

    2.

    5 2. ln

    1

    H

    5 2. 1. 2. 1.

    Region of negative Hubble gradient

    Cosmological Inflation Cosmological Expansion

    Applied Physical Constants

    NIST 2002 CODATA

    c = 2.99792458108 (ms-1)

    G 6.674210-11 (m3kg-1s-2)

    h 6.626069310-34 (Js) KW 2.897768510

    -3 (mK)

    Derived Mathematical Constants

    x, StT, H, 4.595349, = 1/3

    Graphic Range Variables

    H , H , t 67.084304 4.500304103 2.724752AU 14.57588510

    9(yr)

    3.8459941061 1.47916710123 2.0599451031t4 2.09326710-41(s)

    00 3.1955181031t1 2.20628710-42(s)

    8.4609411061 -7.158752101230H-1 3.64696710-43(s)

    +--0

    |H| (km/s/Mpc)dHdt (km/s/Mpc)2TU2 (K)Time

    Derived Physical Properties

    Photon mass: m 3.19509510-45(eV)

    Graviton mass: mgg = 2m Minimum gravitational lifetime of

    starving matter: TL = h/m = 2h/mgg 4.1017311022(yr) 2.8140531012AU Cosmological Constant:

    0 6.750456103 (km/s/Mpc)2

    0/c2 7.88843110-47 (km-2)

    [3c2/8G]0 1.13960810-9 (Pa)

    See: Quinta Essentia Part 2, 3, 4 for the complete mathematical derivations and computational algorithms.

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    1 .10 43 1 .10 42 1 .10 41 1 .10 40 1 .10 39 1 .10 38 1 .10 37 1 .10 36

    5 .1030

    1 .1031

    1.5 .1031

    2 .1031

    2.5 .1031

    3 .1031

    3.5 .1031

    Av. Cosmological Temperature vs. Age

    Cosmological Age (s)

    Av.

    CosmologicalTemperature(K)

    T U3 H

    T U3 e

    1

    5 2.

    T U3 e

    10 2. 1

    5 2. 5

    2. 1.

    T U3 e

    15 2. 5

    2. 2. 2

    5 2. 5

    2. 5 2. 3. 2.

    1

    H

    t 1

    H H . 1

    EGMThe Cosmological Evolution Process

    Derived From Particle-Physics

    H 0.37h

    St T4 .

    4 .( )

    c.

    x h2.

    2 2.

    .

    hc

    5

    G h. x 4

    2 .

    .

    H

    h

    x

    H =

    Big-Bang: 0(K)t = (

    )-1 www.deltagroupengineering.com dgE

    TU2

    (H) TU3

    (H)

    T U2 H( ) KW St T. ln

    H

    H

    . H5

    2..H = HH

    r1 M 1,

    r2 M 2,

    M 1

    M 2

    2

    9r2

    r1

    5

    9

    . St

    1 .1042

    1 .1041

    1 .1040

    1 .1039

    1.2 .1072

    1 .1072

    8 .1071

    6 .1071

    4 .1071

    2 .1071

    0

    2 .1071

    4 .1071

    6 .1071

    8 .1071

    1 .1072 1st Derivative of Av. Cosmological Temp.

    Cosmological Age (s)

    (K/s)

    dT dt H H . 1

    dT dt t 1

    dT dt t 2

    dT dt t 3

    t 1 t 2

    H

    H

    . 1

    2 .1042

    3 .1042

    4 .1042

    5 .1042

    6 .1042

    7 .1042

    8 .1042

    9 .1042

    1 .1041

    1.1 .1041

    1.2 .1041

    1.3 .1041

    1.4 .1041

    1.5 .1041

    3 .10114

    2.5 .10114

    2 .10114

    1.5 .10114

    1 .10114

    5 .10113

    0

    5 .10113 2nd DerivativeofAv. CosmologicalTemp.

    CosmologicalAge(s)

    (K/s^2)

    dT2 dt2 H H . 1

    dT2 dt2 t 1

    dT2 dt2 t 2

    dT2 dt2 t 3

    t 2 t 3

    H H . 1

    2 .1042

    3 .1042

    4 .1042

    5 .1042

    6 .1042

    7 .1042

    8 .1042

    9 .1042

    1 .1041

    1.1 .1041

    1.2 .1041

    1.3 .1041

    1.4 .1041

    1.5 .1041

    1 .10152

    1 .10153

    1 .10154

    1 .10155

    1 .10156

    1 .10157 3rdDerivative ofAv.Cosmological Temp.

    CosmologicalAge(s)

    (K/s^3)

    dT3dt3

    H

    H

    . 1

    dT3 dt3 t 1

    dT3 dt3 t 2

    t 2 t 3

    H H . 1

    dT dt t( ) KW St T

    5 ln H t..

    2. 1

    t5

    2.t.

    .

    dT2 dt2 t( ) KW St T.

    5 2. ln H t

    . 5 2. 1. 2. 1

    t5

    2.t2.

    .

    dT3dt3 t( ) KW St T.

    5 2

    . ln H t.. 5

    2. 5

    2. 3. 2. 15

    2. 5

    2. 2. 2

    t5

    2.t

    3.

    .

    Applied Physical Constants

    NIST 2002 CODATA

    c = 2.99792458108 (ms-1)

    G 6.674210-11 (m3kg-1s-2)

    h 6.626069310-34 (Js)

    KW 2.897768510-3 (mK)

    Derived Mathematical Constants

    x, StT, H, 4.595349, = 1/3

    Graphic Range Variables

    H, H, t 67.084304 4.500304103 2.724752AU 14.57588510

    9(yr)

    3.8459941061 1.47916710123 2.0599451031t4 2.09326710-41(s)

    00 3.1955181031t1 2.20628710-42(s)

    8.4609411061 -7.158752101230H-1 3.64696710-43(s)

    +--0

    |H| (km/s/Mpc)dHdt (km/s/Mpc)2TU2 (K)Time

    Derived Physical Properties

    Photon mass: m 3.19509510-45(eV)

    Graviton mass: mgg = 2m Minimum gravitational lifetime of

    starving matter: TL

    = h/m

    = 2h/mgg 4.1017311022(yr) 2.8140531012AU

    Cosmological Constant:

    0 6.750456103 (km/s/Mpc)2

    0/c2 7.88843110-47 (km-2)

    [3c2/8G]0 1.13960810-9 (Pa)

    See: Quinta Essentia Part 2, 3, 4 for the complete mathematical derivations and computational algorithms.

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    1 .1043

    1 .1042

    1 .1041

    1 .1040

    1 .1039

    1 .1038

    1 .1037

    1 .1036

    5 .1030

    1 .1031

    1.5 .1031

    2 .1031

    2.5 .1031

    3 .1031

    3.5 .1031

    Av. Cosmological Temp. vs. Hubble Cons.

    Hubble Constant (Hz)

    Av.

    CosmologicalT

    emperature(K)

    T U3 H

    T U3 e

    1

    5 2.

    T U3 e

    10 2. 1

    5 2. 5

    2. 1.

    T U3 e

    15 2. 5

    2. 2. 2

    5 2. 5

    2. 5 2. 3. 2.

    H 1

    t 1

    H H .

    EGMThe Cosmological Evolution Process

    Derived From Particle-Physics

    H

    0.37h

    St T4 .

    4 .( )

    c.

    x h2.

    2 2.

    .

    hc

    5

    G h. x 4

    2 .

    .

    H

    h

    x

    Big-Bang: 0(K) www.deltagroupengineering.com dgE

    TU2(H) TU3(H)

    T U2 H( ) KW St T. ln

    H

    H. H

    5 2.

    .H = HH r1 M 1,

    r2 M 2,

    M 1

    M 2

    2

    9r2

    r1

    5

    9

    . St

    1 .1043

    1 .1042

    1 .1041

    1 .1040

    1 .1039

    1 .1038

    1 .1037

    1 .1036

    5 .1030

    1 .1031

    1.5 .1031

    2 .1031

    2.5 .1031

    3.10

    31

    3.5 .1031

    Av. Cosmological Temp. vs. Hubble Cons.

    Hubble Constant (Hz)

    Av.

    CosmologicalTemperature(K)

    T U3 H

    T U3 e

    1

    5 2.

    T U3 e

    10 2. 1

    5 2. 5

    2. 1.

    T U3 e

    15 2. 5

    2. 2. 2

    5 2. 5

    2. 5 2. 3. 2.

    1

    t 2

    1

    t 3

    H H .

    1 .1043

    1 .1042

    1 .1041

    1 .1040

    1 .1039

    1 .1038

    1 .1037

    1 .1036

    5 .1030

    1 .1031

    1.5 .1031

    2 .1031

    2.5 .1031

    3 .1031

    3.5 .1031Av.CosmologicalTemperaturevs.Age

    CosmologicalAge(s)

    Av.

    CosmologicalTemperature(K)

    T U3 H

    T U3 e

    1

    5 2.

    T U3 e

    10 2. 1

    5 2. 5

    2. 1.

    T U3 e

    15 2. 5

    2. 2. 2

    5 2. 5

    2. 5 2. 3. 2.

    1

    H

    t 1

    H H . 1

    Applied Physical Constants

    NIST 2002 CODATA

    c = 2.99792458108 (ms-1)

    G 6.674210-11 (m3kg-1s-2)

    h 6.626069310-34

    (Js) KW 2.897768510

    -3 (mK)

    Derived Mathematical Constants

    x, StT, H, 4.595349, = 1/3

    Graphic Range Variables

    H , H , t 67.084304 4.500304103 2.724752AU 14.57588510

    9(yr)

    3.8459941061 1.47916710123 2.0599451031t4 2.09326710-41(s)

    00 3.1955181031t1 2.20628710-42(s)

    8.4609411061 -7.158752101230H-1 3.64696710-43(s)

    +--0

    |H| (km/s/Mpc)dHdt (km/s/Mpc)2TU2 (K)Time

    Derived Physical Properties

    Photon mass: m 3.19509510-45(eV)

    Graviton mass: mgg = 2m Minimum gravitational lifetime of

    starving matter: TL = h/m = 2h/mgg 4.1017311022(yr) 2.8140531012AU Cosmological Constant:

    0 6.750456103 (km/s/Mpc)2

    0/c2 7.88843110-47 (km-2)

    [3c2/8G]0 1.13960810-9 (Pa)

    See: Quinta Essentia Part 2, 3, 4 for the complete mathematical derivations and computational algorithms.

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    K A t f t & E ti S

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    Key Artefact & Equation Summary [excerpt from Quinta Essentia Part 2dgE]