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By
Yogesh Vishwanath Chavan (B.E. Mechanical)
    omsai_333@rediffmail.com; Mo: 9764064821
The Beginning …

   Once Upon a time, there was nothing; no space-
    time, no mass-energy.
             God asked Himself a Question –
              “Nothingness, for how long time?”

              “Biggest Blunder of His Life”
   Hence, Quanta of Imaginary Time, iTq (which
    Coordinate is Periodic; 2π) in 0-D space was
    created for Critical Mass (Mc = Constant) with no
    violation of “Law of Conservation of Mass-energy”.
    Quanta of i-Space-Time = Fundamental Constant
Universe in 0-D Space and 1-D i-
Time
         ( iq)2 = ( iHq/2π)2 = ( G0) * ( Mc)
                     (Hq/2π)2 = G0 * Mc
Where, Hq= 1/Tq and G0 = Gravitational Parameter in
0-D Space = 1. Above equation converts “i-Time” into
“Real Time” and –Ve Mass into +Ve Mass.
                          0-D Space
- Mc; + G0                            + Mc; - G0

                            Ec =  Mc * c2 and Gravity Effect
 Imaginary Quanta of
                           in Each Universe = Mc * {1+ (3P/)}
 Space = iq= c*(iTq)
                           = 2 * Mc; (3P/) = 1
Evolution of Universe and 

   During Birth of Universe, there was only one
    Fundamental Force i.e. “Gravity”.
   Evolution of Universe into Higher Dimension was
    governed by factor “”.
                       = t /c
Where, t = Total Density of Each Universe, and
       c = Critical Density of Each Universe
 For (>1), k = 1 ; Collapsed Universe
 For (=1), k = 0 ; Flat Universe

 For (<1), k = -1; Expanded Universe
  (k = Space Curvature Constant)
N  Space-Time and 

N  Space-Time   t = Total Density of      c = Critical Density    = (t / c )
                 Each Universe              of Each Universe


N=1; 0-D Space   Mc * {1+ (3P/)} = 2* Mc   Mc                              2


N=2; 1-D Space   2* Mc / (π*q)             Mc / (2*q)               4/ π = 1.273


N=3; 2-D Space   2* Mc / {2*π*(q)2}        Mc / {π*(q)2}                  1


N=4; 3-D Space   2* Mc / {π2*(q)3}         Mc / {4*π*(q)3/3}      8/(3*π)= 0.848
Why 3-D Space and 1-D Time ?

           Quanta of i-Space-Time = F. C.
 Saved  Universe from “Singularity” in 0-D to 2-D Space.
 Projected  Universe into next Higher Dimension
  because of instability between gravity effect of   1
  and Resistance given by “Quanta of i-Space-Time”.
  For e.g.
                          1-D Real Space


              0-D Space



     =2                     = 1.273
Variable G Theory

N  Space-Time            Equation                      Gravitational
                                                        Parameter (G)

N=1; 0-D Space            (Hq /2π)2 = G0 * Mc           G0 = 1

N=2; 1-D Space            (Hq /2π)2 = G1 * Mc / q      G1 = q

N=3; 2-D Space            (Hq /2π)2 = G2 * Mc / (q)2   G2 = (q)2

N=4; 3-D Space            H2 = 2 * G3 * Mc / ()3      G3 = 2 * π2 * G2 * 
(Expansion of Universe)      = 4 * π2 * G2 * Mc / ()2    = 2 * π2 * (q)2 * 




                          G3 = G  
iq  Q (Charge)  F. C.
 From Current Cosmological Observations –
 k=0; T0 = Current Age of the Universe = 13.9 Gyr

  0 = Current Size of the Observable Universe  c*T0
       1.32 * 1026 m                    --- (c = 3 * 108 m/s)
And, t  c  9.7 * 10-27 Kg/m3.
  Mc  {c * 4 *  * 03 / 3}  8.9 * 1052 Kg
 Hq = Sqrt(4 * 2 * G0 * Mc)  1.873 * 1027 s-1
Or, iq  i * c / Hq  1.602 * 10-19 im  Q (Charge)
And, G = Gravitational Parameter = 2* 2 * (q)2 * 0
       6.68 * 10-11 m3/Kg.s2  Constant
         Quanta of i-Space = Charge = F. C.
Why God had chosen iq  Q ?
   It was not chosen, but “Q” itself is combination of
    other F. Cs like h, c and k.
   Possible combination :-
               Q = h/ (c * k) = 1.602 * 10-19 im
      Where, h = 6.6262 * 10-34 J.s; k = 1.380 * 10-23
       J/0K and c = 2.997 * 108 m/s; Unit of k  Kg
   Other Interesting Combinations :-
         Me = 2 * π2 * h/ (c2 * Q) = 9.09 * 10-31 Kg
             ∵ Frequency of Electron , e  1/Q
             MP = π * h/ (c2 * k) = 1.673 * 10-27 Kg
              ∵ Frequency of Proton , e  1/k
Initial Condition of Universe
    From Friedmann Equations :
                H2 = (å/ a)2 = (8*π*G/3)* - (k * c2/a2)
              ä/ a = -(4*π*G/3)**{1+(3P/e)}
    For  = 0.848, k = -1. G  a and   a-4;
        (å)2 = c2 * {(b2/a) + 1}      --- {b2 = Constant}
       And, ä = - {b2*c2/(2*a2)} < 0
    Integrating above first equation gives,
               a * (b2+a) - b2 * ln{a + (b2+a)} = ct
           for (b2 << a); a – b2 ln{2 * a} = ct  a  ct
Initial Size of Universe in 3-D Space = R= {2**Mc/k}1/3 *
q = 5.5 * 106 m with time (T) equal to (Tq). Where, Mc=
Advantages of F.C. Theory
   This Unique Theory defines origin of “Big Bang” with explanation of “Why 3-D
    Space and 1-D Time ?” without violation of Law of “Conservation of Mass-
    Energy”.
   Defines Curvature of Space during Birth of Universe i.e. (k=-1). Not possible
    with any other theory.
   Finds relation between “F.Cs” and also, their relation with contents of the
    Universe like, Q (Charge)  Quanta of Space; k/(2)  123 Gev  Mass
    (Higg’s Boson Mass?); c  Time; h  Energy. {Q = h/ (c*k)}
   With increase in size of the Universe “a”, (∵ b2 << a). From equations, å  c; ä
     0 and a  c * t, i.e. k  0 (No need of Fine Tuning).
   Solves “Flatness”, “Horizon” and “CMB Fluctuations” problem with no need of
    “Exponential Inflation”.
   For Flat (k=0) and Matter dominated Universe (a-3) with Variable G (G  a);
    å = c; ä = 0. It shows that Phase change (from radiation to matter) occurred
    when Universe turned from k=-1 to k=0. Further deep study at particle
    physics is required.
   Empty Space (Vacuum) is not empty, but rather filled with non interacting and
    expanding matter such that its Local Density  (TU)-3 ; TU = Local Universal
    Time depends upon gravity effect of mass-energy in given region.
                H2 = (TU)-2 = (8/3)*G* = (8/3)*{22* (q)2} *c*TU* 
Dark Energy Vs Baryonic matter
   Baryonic matter (High Density Stuffs) makes Size of
    Universe less than Actual Size based upon (a = ct).
                                                                            High
                                                                            Density
                                                                            Stuffs

     Volume = VA               Volume = VB < VA
   Voids creates “Concave Shape; k = -1”  “Dark
    Energy” and B.M. makes “Convex Shape; k= +1” 
    “Dark Matter” with respect to Hubble’s Line.
    Hubble’s Line; V= H0*r                                       Space-Time Curvature


                                                            k = +1
Time             k = +1
                                                            Galaxy “B”
          Galaxy “A”                Void; k = -1
                          TGalaxy < THubble < TVoids < TActual
CDM Model ?
   Hubble’s Reference Line solves both problem of “D.M.”
    and “D.E.” with no need of “Ugly Stuff” like Cosmological
    Constant (P = - ; Repulsive G. Force).
   Escapes easily from “Cosmic Coincidence” problem.
   No Danger of “Big Rip” or to remain alone in Universe.
   “Acceleration of Universe” is Illusion; ä  0.
   Changed of “Curvature of Space : k” from “-1” to current
    value of “0” during evolution of Universe suggests “Fate
    of Universe  Collapsed State” by increased in value of
    “k” to “+1” with increase in value of “G  a”. Universe
    should be Periodic (i-Time).
   CDM Model can not explain “Pioneer’s Anomaly” (ä 
    -0.5*c*H0). While in this theory, for (k=0; G  a) and Matter
    dominated Universe (P=0), ä = - {4*2*(q)2*Mc}/(2*a)=
    - c2/(2a)  - 0.5*c*H0, Gives, s = - ä * (Tyear)2 = 345 Km
iq  Q (Charge)  Pressure
    In Fluid Dynamics, Pressure (P)  d (Depth of Fluid)
               Surface of Fluid  Pressure = 0
    Quanta of i-Space  Depth of Each Universe  P
    For Fermions, P   d   Q; and
      For Fermi-Bosons, P  /3   d/3   Q/3 (Quarks)
           3-D Space
                                              + 2Q/3            +Q
        (Surface of Fluid)
Time + Q                     + Q/3

                       0

            -Q                       - Q/3
                   Bosons                              - 2Q/3        -Q

     Fermions                                Fermi-Bosons
Q (Charge) and Particles
                                                                 Q
    Time
                        Proton                    Meson
                0
                                     Neutron
     Electron
             Photon     3-D Space of Each Universe
    Time

Photon  Forward Direction of Time = Reversed Direction of Time; Net Time = 0


Particles with Charge (-2Q and -2Q/3) are Impossible.
This Particles should convert into Anti-Particles.
                8 Gluon  Glue Ball = 4-D Quanta Particle
Anti-Matter Vs Matter
    Anti–Matter : Mass remains Constant, but Sign of
     Charge (Q) is Reversed.
    To annihilate Anti-Matter with Matter and to Convert
     into Photons 
    (Forward Direction of Time) Matter = (Reversed Direction of Time) Anti-Matter

    Matter in One Universe Acts like Anti-Matter in its Twin Universe


                                                       Flat Twin Universes;
                                                       Thickness of Each
                                                       Universe = iQ

      Electron in Top Universe Behaves Like Positron (Anti-Matter) in its
          Bottom Universe When Both Universe Merged at that Point
Neutron Star  Meson Star

   Neutron Star  Chandrasekhar's Limit (MN  1.4 * MSUN)
   Neutron  Quark Confinement  Color Charge  S.N.F.
   S.N.F.  Strong  Low Energy; Weak  Higher Energy
       Neutron      Neutron
                                           Meson   R
           R           R                                         R
                                                        Ř
       G       B   G       B                  G                       B

     No Gluons Between Quarks; (S.N.F. = Weak  Higher Energy in S.G.F.)
                                                                     Meson
           R           G                            R            G

       G       B   R       B                  G                       B
                                                             Ğ
Meson Star  Black Hole

 Meson Star  Net Time = 0
 Annihilation of Up, Anti-Up Quark Pairs into Photons.

  converts Meson Star  Photon Star (Black Hole)

   Black Hole is a “Photon Star” which Merged Twin
Universes into Single Universe up to its “Event Horizon”

       (Gravity)Mass-Energy of B.H. = (Pressure)Photons
    G * MB * MB * {1+(3P/)}/ r2 = ( * c2/ 3) * 4 *  * r2
                         r = Rs = (2 * G * MB/ c2)
Black Hole in Twin Universe

          Massive Black Holes Because
 Time     of Feeding From Both Universe   Black Hole Gravitates
                                             Both Universe

                                                   RS




 Time
        3-D Space of Both Universes
        Separated By Twice Quanta
                 of Space

3-D Space of Both Universes Merged at Event Horizon of Black Hole. Pair
    Creation of Particle & Anti-Particle; both having +Ve Mass in their
  Universe. Hence, Black Hole can radiate without Loss of Informations.
Thank You

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Universe (Twin)

  • 1. By Yogesh Vishwanath Chavan (B.E. Mechanical) omsai_333@rediffmail.com; Mo: 9764064821
  • 2. The Beginning …  Once Upon a time, there was nothing; no space- time, no mass-energy.  God asked Himself a Question – “Nothingness, for how long time?” “Biggest Blunder of His Life”  Hence, Quanta of Imaginary Time, iTq (which Coordinate is Periodic; 2π) in 0-D space was created for Critical Mass (Mc = Constant) with no violation of “Law of Conservation of Mass-energy”. Quanta of i-Space-Time = Fundamental Constant
  • 3. Universe in 0-D Space and 1-D i- Time  ( iq)2 = ( iHq/2π)2 = ( G0) * ( Mc)  (Hq/2π)2 = G0 * Mc Where, Hq= 1/Tq and G0 = Gravitational Parameter in 0-D Space = 1. Above equation converts “i-Time” into “Real Time” and –Ve Mass into +Ve Mass. 0-D Space - Mc; + G0 + Mc; - G0  Ec =  Mc * c2 and Gravity Effect Imaginary Quanta of in Each Universe = Mc * {1+ (3P/)} Space = iq= c*(iTq) = 2 * Mc; (3P/) = 1
  • 4. Evolution of Universe and   During Birth of Universe, there was only one Fundamental Force i.e. “Gravity”.  Evolution of Universe into Higher Dimension was governed by factor “”.  = t /c Where, t = Total Density of Each Universe, and c = Critical Density of Each Universe  For (>1), k = 1 ; Collapsed Universe  For (=1), k = 0 ; Flat Universe  For (<1), k = -1; Expanded Universe (k = Space Curvature Constant)
  • 5. N  Space-Time and  N  Space-Time t = Total Density of c = Critical Density  = (t / c ) Each Universe of Each Universe N=1; 0-D Space Mc * {1+ (3P/)} = 2* Mc Mc 2 N=2; 1-D Space 2* Mc / (π*q) Mc / (2*q) 4/ π = 1.273 N=3; 2-D Space 2* Mc / {2*π*(q)2} Mc / {π*(q)2} 1 N=4; 3-D Space 2* Mc / {π2*(q)3} Mc / {4*π*(q)3/3} 8/(3*π)= 0.848
  • 6. Why 3-D Space and 1-D Time ? Quanta of i-Space-Time = F. C.  Saved Universe from “Singularity” in 0-D to 2-D Space.  Projected Universe into next Higher Dimension because of instability between gravity effect of   1 and Resistance given by “Quanta of i-Space-Time”. For e.g. 1-D Real Space 0-D Space =2  = 1.273
  • 7. Variable G Theory N  Space-Time Equation Gravitational Parameter (G) N=1; 0-D Space (Hq /2π)2 = G0 * Mc G0 = 1 N=2; 1-D Space (Hq /2π)2 = G1 * Mc / q G1 = q N=3; 2-D Space (Hq /2π)2 = G2 * Mc / (q)2 G2 = (q)2 N=4; 3-D Space H2 = 2 * G3 * Mc / ()3 G3 = 2 * π2 * G2 *  (Expansion of Universe) = 4 * π2 * G2 * Mc / ()2 = 2 * π2 * (q)2 *  G3 = G  
  • 8. iq  Q (Charge)  F. C.  From Current Cosmological Observations –  k=0; T0 = Current Age of the Universe = 13.9 Gyr  0 = Current Size of the Observable Universe  c*T0  1.32 * 1026 m --- (c = 3 * 108 m/s) And, t  c  9.7 * 10-27 Kg/m3.  Mc  {c * 4 *  * 03 / 3}  8.9 * 1052 Kg  Hq = Sqrt(4 * 2 * G0 * Mc)  1.873 * 1027 s-1 Or, iq  i * c / Hq  1.602 * 10-19 im  Q (Charge) And, G = Gravitational Parameter = 2* 2 * (q)2 * 0  6.68 * 10-11 m3/Kg.s2  Constant Quanta of i-Space = Charge = F. C.
  • 9. Why God had chosen iq  Q ?  It was not chosen, but “Q” itself is combination of other F. Cs like h, c and k.  Possible combination :- Q = h/ (c * k) = 1.602 * 10-19 im Where, h = 6.6262 * 10-34 J.s; k = 1.380 * 10-23 J/0K and c = 2.997 * 108 m/s; Unit of k  Kg  Other Interesting Combinations :- Me = 2 * π2 * h/ (c2 * Q) = 9.09 * 10-31 Kg ∵ Frequency of Electron , e  1/Q MP = π * h/ (c2 * k) = 1.673 * 10-27 Kg ∵ Frequency of Proton , e  1/k
  • 10. Initial Condition of Universe  From Friedmann Equations : H2 = (å/ a)2 = (8*π*G/3)* - (k * c2/a2) ä/ a = -(4*π*G/3)**{1+(3P/e)}  For  = 0.848, k = -1. G  a and   a-4;  (å)2 = c2 * {(b2/a) + 1} --- {b2 = Constant} And, ä = - {b2*c2/(2*a2)} < 0  Integrating above first equation gives, a * (b2+a) - b2 * ln{a + (b2+a)} = ct for (b2 << a); a – b2 ln{2 * a} = ct  a  ct Initial Size of Universe in 3-D Space = R= {2**Mc/k}1/3 * q = 5.5 * 106 m with time (T) equal to (Tq). Where, Mc=
  • 11. Advantages of F.C. Theory  This Unique Theory defines origin of “Big Bang” with explanation of “Why 3-D Space and 1-D Time ?” without violation of Law of “Conservation of Mass- Energy”.  Defines Curvature of Space during Birth of Universe i.e. (k=-1). Not possible with any other theory.  Finds relation between “F.Cs” and also, their relation with contents of the Universe like, Q (Charge)  Quanta of Space; k/(2)  123 Gev  Mass (Higg’s Boson Mass?); c  Time; h  Energy. {Q = h/ (c*k)}  With increase in size of the Universe “a”, (∵ b2 << a). From equations, å  c; ä  0 and a  c * t, i.e. k  0 (No need of Fine Tuning).  Solves “Flatness”, “Horizon” and “CMB Fluctuations” problem with no need of “Exponential Inflation”.  For Flat (k=0) and Matter dominated Universe (a-3) with Variable G (G  a); å = c; ä = 0. It shows that Phase change (from radiation to matter) occurred when Universe turned from k=-1 to k=0. Further deep study at particle physics is required.  Empty Space (Vacuum) is not empty, but rather filled with non interacting and expanding matter such that its Local Density  (TU)-3 ; TU = Local Universal Time depends upon gravity effect of mass-energy in given region. H2 = (TU)-2 = (8/3)*G* = (8/3)*{22* (q)2} *c*TU* 
  • 12. Dark Energy Vs Baryonic matter  Baryonic matter (High Density Stuffs) makes Size of Universe less than Actual Size based upon (a = ct). High Density Stuffs Volume = VA Volume = VB < VA  Voids creates “Concave Shape; k = -1”  “Dark Energy” and B.M. makes “Convex Shape; k= +1”  “Dark Matter” with respect to Hubble’s Line. Hubble’s Line; V= H0*r Space-Time Curvature k = +1 Time k = +1 Galaxy “B” Galaxy “A” Void; k = -1 TGalaxy < THubble < TVoids < TActual
  • 13. CDM Model ?  Hubble’s Reference Line solves both problem of “D.M.” and “D.E.” with no need of “Ugly Stuff” like Cosmological Constant (P = - ; Repulsive G. Force).  Escapes easily from “Cosmic Coincidence” problem.  No Danger of “Big Rip” or to remain alone in Universe.  “Acceleration of Universe” is Illusion; ä  0.  Changed of “Curvature of Space : k” from “-1” to current value of “0” during evolution of Universe suggests “Fate of Universe  Collapsed State” by increased in value of “k” to “+1” with increase in value of “G  a”. Universe should be Periodic (i-Time).  CDM Model can not explain “Pioneer’s Anomaly” (ä  -0.5*c*H0). While in this theory, for (k=0; G  a) and Matter dominated Universe (P=0), ä = - {4*2*(q)2*Mc}/(2*a)= - c2/(2a)  - 0.5*c*H0, Gives, s = - ä * (Tyear)2 = 345 Km
  • 14. iq  Q (Charge)  Pressure  In Fluid Dynamics, Pressure (P)  d (Depth of Fluid) Surface of Fluid  Pressure = 0  Quanta of i-Space  Depth of Each Universe  P  For Fermions, P   d   Q; and For Fermi-Bosons, P  /3   d/3   Q/3 (Quarks) 3-D Space + 2Q/3 +Q (Surface of Fluid) Time + Q + Q/3 0 -Q - Q/3 Bosons - 2Q/3 -Q Fermions Fermi-Bosons
  • 15. Q (Charge) and Particles Q Time Proton Meson 0 Neutron Electron Photon 3-D Space of Each Universe Time Photon  Forward Direction of Time = Reversed Direction of Time; Net Time = 0 Particles with Charge (-2Q and -2Q/3) are Impossible. This Particles should convert into Anti-Particles. 8 Gluon  Glue Ball = 4-D Quanta Particle
  • 16. Anti-Matter Vs Matter  Anti–Matter : Mass remains Constant, but Sign of Charge (Q) is Reversed.  To annihilate Anti-Matter with Matter and to Convert into Photons  (Forward Direction of Time) Matter = (Reversed Direction of Time) Anti-Matter Matter in One Universe Acts like Anti-Matter in its Twin Universe Flat Twin Universes; Thickness of Each Universe = iQ Electron in Top Universe Behaves Like Positron (Anti-Matter) in its Bottom Universe When Both Universe Merged at that Point
  • 17. Neutron Star  Meson Star  Neutron Star  Chandrasekhar's Limit (MN  1.4 * MSUN)  Neutron  Quark Confinement  Color Charge  S.N.F.  S.N.F.  Strong  Low Energy; Weak  Higher Energy Neutron Neutron Meson R R R R Ř G B G B G B No Gluons Between Quarks; (S.N.F. = Weak  Higher Energy in S.G.F.) Meson R G R G G B R B G B Ğ
  • 18. Meson Star  Black Hole  Meson Star  Net Time = 0  Annihilation of Up, Anti-Up Quark Pairs into Photons. converts Meson Star  Photon Star (Black Hole) Black Hole is a “Photon Star” which Merged Twin Universes into Single Universe up to its “Event Horizon”  (Gravity)Mass-Energy of B.H. = (Pressure)Photons G * MB * MB * {1+(3P/)}/ r2 = ( * c2/ 3) * 4 *  * r2  r = Rs = (2 * G * MB/ c2)
  • 19. Black Hole in Twin Universe Massive Black Holes Because Time of Feeding From Both Universe Black Hole Gravitates Both Universe RS Time 3-D Space of Both Universes Separated By Twice Quanta of Space 3-D Space of Both Universes Merged at Event Horizon of Black Hole. Pair Creation of Particle & Anti-Particle; both having +Ve Mass in their Universe. Hence, Black Hole can radiate without Loss of Informations.