Science Journal of Physics
ISSN: 2276-6367
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© Author(s) 2012. CC Attribution 3.0 License
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Research Article
Volume 2012, Article ID sjp-111, 13 Pages, 2012. doi: 10.7237/sjp/111
Time Correction, Energy and Momentum
Manoj Bansidas Agravat MPH
University of South Florida
Email: m_agravat@yahoo.com
ACCEPTED 1st August, 2012
ABSTRACT
Einstein’s special relativity theory is taking many
challenges regarding the speed of neutrinos vs. speed of
light. Einstein’s formula of E=mc2 is a cornerstone of
science when it comes to special relativity regarding
mass, speed of light, and energy. The concern in this
article is that there may bea time formulation in relativity
that may facilitate the equation of E=mc2 that based on
the OPERA experiment with CERN’s help may support
slower speeds according to Einstein of neutrinos. With
the basic rate law of RxT=D, the new equation of:
tc=m*(2*π*r) 2/E will help because the parameter of tcor
time correction is included. Ec or energy correction is
formulated as: Ec=m*(2*π*r) 2/ tc2the distance travelled in
the experiment were about 730.085 km and times
involved included from 74 ns to 47 ns. This article also
deals with the calculation of new momentum with energy
of special relativity. For tcmethod, low wavelengths shows
that higher momentums and energies are produced. The
lambda method derived to calculate the wave length may
allow estimates of momentum (P) and velocity of
particles shown to be slower than speed of light.
Keywords:Special Relativity, Time Correction,
Momentum,Planck’sEquation, De Broglie’s Equation
INTRODUCTION
The author wishes to discuss new methods to
correct time of neutrino and inferences in special
relativity with a new time correction method
(Agravat 2012) using a median observed time of 60
ns for neutrinos. Einstein stated that speed of light
must be greater than the particles such as
neutrinos. Some fundamental new equations are
shown with their derivations (Agravat 2012) next.
1)
tc
2

D
R 
R
2)
t
3)
T 
4)
t obs

c

730 . 085
60 ns
 1 . 216 x 10  10 km / s
2* * r
 7 . 655 x 10  10 km / s
tc

c
m * (2 *  * r )2
 t c ~ 3 . 78 X 10  7 ( s )
E
2 *  * r
 5 . 992
R
c
x 10  8 s
D
 6 . 00 x 10  8 ( s )
R
Ec 
m * (2 *  * r )2
2
tc
E c  9 . 67 x 10  3 amu * km 2 / s 2
5)
K . E .c  .5mv 2  .5mRc  4.83 x10  3amu * km 2 / s 2
6)
E  mc 2  mc 2  mR 2  2.44 x 10  4 amu * km 2 / s 2
7)
K . E  . 5 mv
2
2
 . 5 mR
2
 1 . 22 x 10  4 amu * km 2 / s 2
How to Cite this Article: Manoj Bansidas Agravat MPH"Time Correction, Energy and Momentum "Science Journal of Physics,
Volume 2012, Article ID sjp-111, 13 Pages, 2012. doi: 10.7237/sjp/111
Science Journal of Physics (ISSN: 2276-636)
RxT  D
Enew  mc 2 (2 *  )2
( 2 * pi * r ) 2
c2
( 2 * pi * r ) 2
c2 
E new
Enew  mRc (2 *  )2
Results
( 2 * pi * r )
E
mc 2 ( 2 * pi * r ) 2
E new 
D2
2
E new  mc * ( 2 * pi ) 2
The following new formulae have been derivedto
and utilize Rc=v1 and R=v2 for the square root of
momentum for a particle. Re-written Planck’s
equation
in
terms
of
E
(SR)
is:
2
E new 
c 
8)
P a g e |2
Enew  .3817amu * km2 / s2
2
E
~
v1 / v 2
v1 / v 2
hc / 
v1 / v 2 V1/V2 or ratio of velocities
v1 / v 2
calculated for this data is ~6.28
Table 1: New Momentum and Energy Parameters with New Methods of Time Correction
Obs
Method
(time(s))
P (root of v1/v2
divided by v1/v2)
~Energy
Speed
lambda
1
6E-8
6.506E-7
3.519E-5
7.65E+10
4590
6.0E-8
8.65E-6
3.53E-5
1.21E+10
728
2
5.992E-8
5
5.992E-8
7
4.94E-11
4
6
8
9
6.508E-7
6.46E-6
2.601E-4
8.719E-7
3.653E-5
5.992E-8
6.507E-7
3E-7
6.81-7
3E-7
3.519E-5
4.07E-7
2.623E-5
2.74E-5
2.20E-5
7.65E+10
1.21E+10
4583
4585
1.21E+10
4587.25
1.216E+10
6309492221
1.47E+13
7.65E+10
Figure 1: Plot of Energy, Speed, and Wavelength (Table 1)
730.085
1.581E+11
H (Planck’s
constant
(km*kg/s))
V1/V2
6.62E-34
6.28
6.62E-34
6.28
6.62E-34
6.28
6.62E-34
6.62E-34
6.62E-34
6.62E-34
6.62E-34
6.28
6.28
6.28
6.28
6.28
How to Cite this Article: Manoj Bansidas Agravat MPH "Time Correction, Energy and Momentum "Science Journal of Physics,
Volume 2012, Article ID sjp-111, 13 Pages, 2012. doi: 10.7237/sjp/111
Science Journal of Physics (ISSN: 2276-636)
P a g e |3
Energy vs. Speed and Wavelength
Energy
0.00027
0.00026
0.00025
0.00024
0.00023
0.00022
0.00021
0.00020
0.00019
0.00018
0.00017
0.00016
0.00015
0.00014
0.00013
0.00012
0.00011
0.00010
0.00009
0.00008
0.00007
0.00006
0.00005
0.00004
0.00003
0.00002
0.00E+00
1.00E+12
2.00E+12
3.00E+12
4.00E+12
5.00E+12
6.00E+12
7.00E+12
8.00E+12
9.00E+12
1.00E+13
1.10E+13
1.20E+13
1.30E+13
1.40E+13
1.50E+13
Speed
lambda
7.28E+02
7.30E+02
4.58E+03
The new momentum transformation is calculated
h
v 1 / v 2
v 1 / v 2
P


v 1 / v 2 . For E(SR)= hc/λ.
by: v 1 / v 2
4.59E+03
4.59E+03
4.59E+03
6.31E+09
1.58E+11
The values are in table 2. For energy comparison,
h*c
v1 / v 2

v1 / v 2
~ E
.
Figure 2: Plot of New Momentum and Energy with Wavelength Plot for new Method of Time Correction
(Table 1)
Momentum vs. Energy and Wavelength
P
0.000009
0.000008
0.000007
0.000006
0.000005
0.000004
0.000003
0.000002
0.000001
0.000000
0.00002
0.00004
0.00006
0.00008
0.00010
0.00012
0.00014
0.00016
0.00018
0.00020
0.00022
0.00024
0.00026
Energy
lambda
7.28E+02
7.30E+02
4.58E+03
4.59E+03
4.59E+03
4.59E+03
6.31E+09
1.58E+11
Figure 3: Plot of New Speed, Energy,and Wavelength Plot for New Method of Time Correction (Table 1)
How to Cite this Article: Manoj Bansidas Agravat MPH "Time Correction, Energy and Momentum "Science Journal of Physics,
Volume 2012, Article ID sjp-111, 13 Pages, 2012. doi: 10.7237/sjp/111
0.00028
Science Journal of Physics (ISSN: 2276-636)
P a g e |4
Speed vs. Energy and Wavelength
Speed
1.50E+13
1.40E+13
1.30E+13
1.20E+13
1.10E+13
1.00E+13
9.00E+12
8.00E+12
7.00E+12
6.00E+12
5.00E+12
4.00E+12
3.00E+12
2.00E+12
1.00E+12
0.00E+00
0.00002
0.00004
0.00006
0.00008
0.00010
0.00012
0.00014
0.00016
0.00018
0.00020
0.00022
0.00024
0.00026
0.00028
Energy
lambda
7.28E+02
7.30E+02
4.58E+03
4.59E+03
4.59E+03
4.59E+03
6.31E+09
1.58E+11
Figure 4: Plot of New Energy, Momentum, and Speed Plot for New Method of Time Correction (Table 1)
Energy vs. Momentum and Speed
Energy
0.00027
0.00026
0.00025
0.00024
0.00023
0.00022
0.00021
0.00020
0.00019
0.00018
0.00017
0.00016
0.00015
0.00014
0.00013
0.00012
0.00011
0.00010
0.00009
0.00008
0.00007
0.00006
0.00005
0.00004
0.00003
0.00002
0.000000
0.000001
0.000002
0.000003
0.000004
0.000005
0.000006
0.000007
0.000008
0.000009
P
Speed
1.21E+10
Discussion
The time correction actually is only slightly different
than the observed time of 60 ns. One is calculating
59.92 ns a small difference of 8x10-11 (s) or .133%
faster. Thus actually speeds may be slower by 2Àor
same as expected because the time of 60ns is a
median value from those reported.Actual speeds of
neutrino particles may be slower. One does observe
that Ec=2*K.E.c,
likewise for special relativity. The question of
calculating exact momentum and position of a
particle may be somewhat closer as this new
1.22E+10
7.65E+10
1.47E+13
approach allows more calculations based on energy
and velocity. Enew is slightly greater than Pnew
indicating that the energy is greater than the square
root of momentum by over 30 percent and E (SR) is
far more different than momentum though. The
range
of
energy
values
are:
2.43x104amu*km2/s2;9.67x10-3
amu*km2/s2;0.3817amu*km2/s2s and are the
calculated values from equation for E(SR), E c, and
Enew respectively.For E (SR), momentum is changing
with wavelength as defined by Planck’s equation
more than the parameter speed. Speed together
with higher values of the wavelength means the
square root of momentum will be higher. De
How to Cite this Article: Manoj Bansidas Agravat MPH "Time Correction, Energy and Momentum "Science Journal of Physics,
Volume 2012, Article ID sjp-111, 13 Pages, 2012. doi: 10.7237/sjp/111
Science Journal of Physics (ISSN: 2276-636)
Broglie’s equation for photon momentum is
transformed and plotshow that energy vs.
momentum isnon-parallel (figure 4). Speed vs.
energy and wavelength show values are parallel and
far apart (figure3). Figure 1 of energy, speed and
wavelength are parallel but points are close and
parallel. Higher wavelengths produce lower energy.
1)
E ( SR
c
2
)  mc
(2 *  * r )
2
tc~

2 *  * r
tc~
c 
2
hc



m * (2 *  * r )
2
tc~
2
However observations in table 1 show that
increases in speed are less significant for
momentum but increases in speed increase energy.
The exponential power root of P, or momentum,
decreases exponentially with increase in lambda.
4 )
E
x 10
 10 km
/ s
2 )
E ( SR
)  mc
2
 2 . 43 x 10
 4 amu
* km
m (2 r )2

2
tc~
c ~
m (2 r )2

2
tc~
2
 1 . 213
P a g e |5
m *
/ s
  c * tc~
v 1 / v 2
h * c


if ... c * p 
6 . 28
h * c

m * (2 *  * r )
2
tc~
  c * t c ~  4587
hc

 1 . 775
v 1 / v 2
3)
hc

RxT
 5 . 48 x 10
x 10
 5
2
. 25
 5
 D
t c ~ new
2
D
t c ~ new
 1.47 x10  13
   Rc * t c ~ new  730 .085
( 2 * pi * r ) 2
E
mc 2 ( 2 * pi * r ) 2
E new 
D2
E new  mc 2 * ( 2 * pi ) 2
The methods compared show that Ec~ with tc~
produce a similar result to special relativity of
Einstein except time is a parameter with the new
formula
m * ( 2 *  * r )2
tc
c ~
m
* 2r  4.94 x10  11( s )
Ec
t c ~ new 
c 
Ec 
E
m ( 2r ) 2

Ec
Rcnew ~ 
( 2 * pi * r ) 2
E new 
c2
( 2 * pi * r ) 2
c2 
E new

5)
 27
 5 . 50 x 10
(2r )
tc~
2
and Ec is different by a factor of roughly 1/2. Also in
the actual data, one finds that for the tvs. tc
methods, and lower wavelength produces slightly
higher momentums. Large differences in wavelength
have more impact on energy but opposite effect on
momentum shown in table 1.
. 5 E ( SR ) 
. 5 mc
2
m (2 *  * r )2
2
tc
m (2 *  * r )2

2
tc
.5 c c 
2* * r
tc
The applications in special relativity need De
Broglie’s equation and Planck’s equation though
wavelength is calculated with time correction hence
each measure for momentum and energy will differ.
How to Cite this Article: Manoj Bansidas Agravat MPH "Time Correction, Energy and Momentum "Science Journal of Physics,
Volume 2012, Article ID sjp-111, 13 Pages, 2012. doi: 10.7237/sjp/111
Science Journal of Physics (ISSN: 2276-636)
h
mc


h
c
m


c
*

*
.5 P





c
*
*
P 


h
P
. 5 hc

c
P

h
m
h
mc
. 5 mc


*


P


. 5 hc

. 5 hc
* P *
hc

P * c
h
P
E
~

E
~

c
c
c
.5
h
mc
(2 *  * r )
 8 . 58 x 10  8 ( s )
.5 * R
m (2 *  * r )2
. 5 E ( SR ) ~ E c ~
2
tc~
tc~ ~
.5 P * c ~
P ~
~ .5 P * c ~
c
m (2 *  * r )2
2
tc~
m (2 *  * r )
2
.5 c * t c ~
2
~
m * 8 ( * r )
2
R * tc~
2
P  4 . 19 x 10  40 kg * km / s
E ( SR ) ~
v1 / v 2
E ~
hc

v1 / v 2
m (2 *  * r )2
2
2 * tc~
~
hc

Ec
~
2
hc
m (2 *  * r )2
~
2

2 * tc~
E ~
 ~
tc~
2
hc

~
2
2
hc * 2 * t c ~
hc * t c ~
~
m (2 *  * r )2
2 * m ( * r ) 2
~
 * 2 * m ( * r ) 2
hc
The wavelength calculated for data thus far is
λ~6,309,492,221 (for Rc), and tc~5.992x10-8(s) (or
time correction)yields an untransformed P or
momentum =4.19x10-40 kg* km/s for a neutrino for
given time correction5.992x10-8 (s)and distance
traveled of 730.085 km.8.49 x10-7 is the root
transformation of P indicated by the new
formula.According to this derivation of momentum
and time correction, neutrino speed and time
correction method of the author is compatible with
De
Broglie’s
equation
regarding
photon
momentum.Momentum is not typically calculated
with time, so the new formula
m * 8 * ( * r )2
~
 * 2 * m ( * r ) 2
hR
2
tc ~ * R
h
v1/ v 2
P

~
v1 / v 2
v1 / v 2
which is also another comparison of momentum to
Energy equation of special relativity that adds
another dimension, time correction for wavelength
and momentum calculations. High values of
wavelength, as shown for actual data, demonstrate
that values of energy and momentum are
consistently lower as expected.
is important compared to
(2 *  * r )
tc~
. 5 E ( SR ) ~ E
m * 8 * ( * r ) 2
 4 . 19 x 10  40
2
tc~ * R
P
E ( SR )
.5 c ~
P a g e |6
v1/ v 2
In addition the ratio of v1/v2 may be supported
again
if ..
hc

~
m * 8 ( r )
2
tc
2
then, solving for tcyields a time of ~ 3 x10-7(s) with
Rc.By multiplying c to both sides, one may solve for
r2 wavelength. RxT=D yields a value of 2433616667
km/s.Rc=2*π*r/tc yields Rc or a radial velocity of
1.529x10+10 km/s. Thus again v1/v2~6.28 or the
ratio of radial velocity over simple linear rate is
6.28 , or ~ 2π, for the neared time of 60 ns
(possibility for neutrino, a median value) and
distance of 730.085km. So the radial velocity to
velocity as a transforming factor may change
momentum and energy of Planck equations and De
Broglie’s to taking time into consideration. This
relationship still is compared though energy and
momentumthat are not same.
How to Cite this Article: Manoj Bansidas Agravat MPH "Time Correction, Energy and Momentum "Science Journal of Physics,
Volume 2012, Article ID sjp-111, 13 Pages, 2012. doi: 10.7237/sjp/111
Science Journal of Physics (ISSN: 2276-636)
2
P
2
2
~
h

2
E 2 hc / 
~
2
2
2
and
Solving
for wavelength in the energy and momentum
h
p 
8 mc *  2 that is
equation above yields:
time correction based due to derivation. With
.
P a g e |7
P=4.19x10-40, =41,099,646.The P2 transformation
gives a new value of: 8.60E-8x10-7 kg km/s and
energy transformed to 3.307 x10-6 km2 kg/s2
which is slightly more than momentum once
transformed when solving for momentum with the
Ptransformation
Figure 5: 3 D Plots for Momentum and Energy for Speed (Table 2)
3 D Plot of Momentum and Energy for Speed
Speed
300000
216667
133333
0.000103
0.000075
Energy
50000
1.48E-05
0.000047
1.36E-05
P
1.23E-05
1.11E-05
0.000019
Figure 6: 3 D Plots for Momentum and Energy for Wavelengths (Table 2)
3 D Plot of Momentum and Energy for Lambda
lambda
150
108
67
0.000103
0.000075
Energy
25
1.48E-05
0.000047
1.36E-05
P
1.23E-05
1.11E-05
The plots above shows that speed gives a pattern
central to the description of energy and momentum
(figure 5) and wavelength shows that lambda is
non-central to both momentum or energy yet
0.000019
affects momentum more than energy (figure 6) for
the general equations above using 2π for random
data.Energy and momentum plots in figure 7 and 8
appear non-normal. Finally, the difference in
How to Cite this Article: Manoj Bansidas Agravat MPH "Time Correction, Energy and Momentum "Science Journal of Physics,
Volume 2012, Article ID sjp-111, 13 Pages, 2012. doi: 10.7237/sjp/111
Science Journal of Physics (ISSN: 2276-636)
momentum and energy for radial velocity and time
correction, shows a difference of a factor of 2π
power root and divider for new equations to
compare
and
transform
when
obtaining
wavelengths with time correction tc. Figure 9 shows
that energy and momentum for lambda and
wavelength are increasing then decrease based on
P a g e |8
data and methods. Figure 10 shows a decreasing
trend for wavelength and energy. Figure 9 shows
wavelength and energy with momentum spiral with
time correction based calculations of wavelengths.
Momentum and energy may also be overlapping at
different ranges for wavelength as in figure 9 that
may produce waves.
Figure 7: 3 D Plots for Wavelength and Speed for Energy (Table 2)
3 D Plot of Lambda and Speed for Energy
Energy
0.000103
0.000075
0.000047
300000
216667
Speed
0.000019
150
133333
108
lambda
67
25
50000
Figure 8: 3 D Plots for Wavelength and Speed for Momentum (Table 2)
3 D Plot of Lambda and Speed for Momentum
P
1.48E-05
1.36E-05
1.23E-05
300000
216667
Speed
1.11E-05
150
133333
108
lambda
67
25
50000
How to Cite this Article: Manoj Bansidas Agravat MPH "Time Correction, Energy and Momentum "Science Journal of Physics,
Volume 2012, Article ID sjp-111, 13 Pages, 2012. doi: 10.7237/sjp/111
Science Journal of Physics (ISSN: 2276-636)
P a g e |9
Table 2: Sample Data for Momentum and Energy for figures 5-8
P
~Energy
1.18E-5
1.18E-5
1.18E-5
1.32E-5
1.32E-5
1.32E-5
1.11E-5
1.48E-5
1.24E-5
Speed
6.64E-5
1.90E-5
8.83E-5
7.42E-5
8.28E-5
9.86E-5
6.23E-5
1.03E-5
9.25E-5
Lambda
50000
100000
300000
50000
100000
300000
50000
200000
300000
H (Planck’s
constant)
6.62E-34
6.62E-34
6.62E-34
6.62E-34
6.62E-34
6.62E-34
6.62E-34
6.62E-34
6.62E-34
100
100
100
50
50
50
150
25
75
V1/V2
6.28
6.28
6.28
6.28
6.28
6.28
6.28
6.28
6.28
Figure 10 : 3 D Plots for Planck ’s Constant and Wavelength for Speed and Energy and Time Correction for II
Planck Constant by Wavelength for Speed
Planck Constant by Wavelength for Energy
Speed
Energy
5.34E+19
37.43
3.56E+19
24.95
1.78E+19
1.58E+11
12.48
1.58E+11
1.05E+11
lambda
7.65E+10
2.00E+11
5.27E+10
1.33E+11
1.05E+11
lambda
0.00
2.00E+11
5.27E+10
1.33E+11
h
6.67E+10
0.00E+00
7.28E+02
h
6.67E+10
0.00E+00
7.28E+02
How to Cite this Article: Manoj Bansidas Agravat MPH "Time Correction, Energy and Momentum "Science Journal of Physics,
Volume 2012, Article ID sjp-111, 13 Pages, 2012. doi: 10.7237/sjp/111
Science Journal of Physics (ISSN: 2276-636)
P a g e | 10
Figure 10 b: 3 D Plots for New Wavelength and Speed for Time Using Splines (Table 3)
Wavelength and Speed for Time
time
0.000067
-0.000084
-0.000236
1.00E+13
6.68E+12
Speed
-0.000387
2.00E+13
3.34E+12
1.33E+13
lambda
6.66E+12
2.00E+05
The formula

p

h
8 mc
* 
2
1.00E+10
following table 3 and figures.
yields the
Figure 11: 3 D Plots for New Wavelength and Speed for Time Using Splines (Table 3)
New Wavelength by Speed for Energy
Planck 's Constant by Wavelength for Speed
Energy
Speed
0.0043
3.04E+17
-0.0054
2.03E+17
-0.0152
1.01E+17
1.00E+13
1.02E+13
6.80E+12
6.68E+12
Speed
-0.0249
2.00E+13
3.34E+12
1.33E+13
lambda
3.00E+05
2.00E+13
3.40E+12
1.33E+13
lambda
h
6.66E+12
2.00E+05
1.00E+10
6.66E+12
0.00E+00
2.08E+05
How to Cite this Article: Manoj Bansidas Agravat MPH "Time Correction, Energy and Momentum "Science Journal of Physics,
Volume 2012, Article ID sjp-111, 13 Pages, 2012. doi: 10.7237/sjp/111
Science Journal of Physics (ISSN: 2276-636)
Planck 's Constant by Wavelength for Energy
P a g e | 11
Planck 's Constant by Wavelength for Time
Energy
time
7.74
0.00000
5.16
-0.00238
2.58
-0.00476
1.02E+13
1.02E+13
6.80E+12
lambda
0.00
2.00E+13
3.40E+12
6.80E+12
lambda
-0.00714
2.00E+13
1.33E+13
3.40E+12
1.33E+13
h
h
6.66E+12
0.00E+00
6.66E+12
2.08E+05
0.00E+00
2.08E+05
Table 3: New Wavelength Method, Energy and Momentum Parameters
Obs
1
2
3
4
5
6
7
Method
(Time(s))
6E-8
5.992E-8
6E-8
5.992E-8
5.992E-8
4.94E-11
3E-7
P2 (root of v1/v2
divided by v1/v2)
1.52E-6
1.52E-6
1.13E-6
1.13E-6
2.10E-7
3.51E-6
1.52E-6
~Energy2
Speed
Lambda (p)
8.22E-5
8.22E-5
4.58E-5
4.58E-5
1.56E-6
4.38E-4
6.13E-5
7.65E+10
7.65E+10
1.21E+10
1.21E+10
~3E+5
1.47E+13
1.21E+10
40014259.99
40014259.99
251734448.2
251734448.2
1.02E+13
208237.47
40014259.99
The new lambda or wavelength shows a different
trend than the time*velocity formula in physics with
time correction for energy and momentum. Figure
11 will show that wavelength by speed behaves like
a wave and time is symmetric to wavelength. Figure
H (Planck’s
constant
(km*kg/s))
6.62E-34
6.62E-34
6.62E-34
6.62E-34
6.62E-34
6.62E-34
6.62E-34
V1/V2
6.28
6.28
6.28
6.28
6.28
6.28
6.28
12 indicates that ’h’ (Planck’s constant) and
wavelength behave differently for energy vs. time.
Time is cuplike.
Calculating neutrino speed is possible with the
given information or at least an approximation.
How to Cite this Article: Manoj Bansidas Agravat MPH "Time Correction, Energy and Momentum "Science Journal of Physics,
Volume 2012, Article ID sjp-111, 13 Pages, 2012. doi: 10.7237/sjp/111
Science Journal of Physics (ISSN: 2276-636)
h
 40 , 014 , 259 . 99
8 mc *  2
8 m ( * r ) 2
P 
 4 . 19 x 10  40
2
Rc * tc
p 
mc  2 . 08 x 10  40
 
c

 1911
E  h   1 . 26 x 10  27 ( km 2 * kg / s )
if .. c  299 , 792 . 458 km / s
h
 1 . 021 x 10  13
8 mc *  2
lightspeed
c 
 2 . 939 x 10  8
c 
c
E  h *  c  4 . 95 x 10  33
c   c *  c  299 , 778
c   *   7 . 65 x 10  10
 neutrino . speed   c *   299 , 778 ( km / s )
 speed
P 
neutrino
 299791  299 , 778  13 km / s
8 m ( * r ) 2
 4 . 19 x 10  40 ( kg * km / s )
2
Rc * tc
One observes that for the median time of 60 ns
and path distance of 730.085km, the speed is
299,778 km/s or ~13 km/s slower than the speed
of light for a neutrino at the CERN and OPERA
experiment. And the momentum calculated by the
new method is similar to E (SR) roughly though
slightly more than momentum (E(SR) =2.46x1040 (7.80x10-7 transformed) vs. 4.19 x10-40
(8.48x10-7 transformed)).Momentum is greater
P a g e | 12
than energy for the new method for neutrinos.Ec is
equivalent
to,
with
Rc=299,778,
hence
tcν2=2.34x10-4,
so
Rcν=47710
km/s.
Ec(ν_corrected)=6.2346x10-42 is less than E (SR)
of 2.4616x10-40. Relativistic E=mc2 is a higher
estimate than Ecvwith c as speed of light that is
supposed to be greater than actual speed of
neutrino particles.Final Ecv=2.4614 x10-40 vs. E
(SR) is slightly less than with special relativity of
2.4616x10-40. One may also compare Rcν=47710
km/s with velocity of 299,778 km/s which is also
comparable to a difference of 2π (6.28) for
velocity again for neutrino particles just like
observed and time corrected velocities for
distance required and time observed of 730.085
km and median 60 ns time.With calculations
above show that speed of light is consistently
followed for speed and frequency.
P
m

0
v
1  (v / c )
2

v  299
, 778
km
/ s
c  299
, 792
km
/ s
8 . 21075
P

P
 8 . 49 x 10
x 10
 46
1  (v / c )
2
 44 ( kg

* km
/ s)
In consideration for the Rcν=47710 km/s value,
the subsequent statistics calculated are: Lambda
=6.416x10+13;
ν=7.436x10-10;
energy
is
E=hν=4.92x10-40; momentum is P=1.64E-45,
Ecνfinal=2.46E-40. The new method yields values
comparable for energy (2.46x10-40).The final
values are in table 4 for both velocity and radial
velocity.
How to Cite this Article: Manoj Bansidas Agravat MPH "Time Correction, Energy and Momentum "Science Journal of Physics,
Volume 2012, Article ID sjp-111, 13 Pages, 2012. doi: 10.7237/sjp/111
Science Journal of Physics (ISSN: 2276-636)
Obs
Table 4: Einstein's Relativity and New Method with Wavelengths Lambda by (p)
1
Method
(Einstein=1,Rcν,
and New Method
=2, Rc )
1
3
2
2
4
P a g e | 13
1
2
P/E
3.51E4
2.12E5
6.67E6
4.19E3
Time
(s)
.
P(kg*km/s)
Energy(kg*km2/s2)
E(SR) and Ec
Speed(km/s)
Lambda
by (p)
8.49E-44
2.4616E-40
299778
.
1.64E-45
2.4614E-40
299778
1.021E+13
.
1.323E-46
.096148
2.613E-46
.0153
The 2pi transformation method yields values shown
below that are roughly in the range seen in the time
correction method for observations in table 1 for P
and E transformed though lesswith the new
Lambda formula for radial velocity with correction
this condition does not hold implying energy is
greater than momentum for radial correction (Table
4). Time correction results in a formula for
momentum then wavelength, possibly describing
neutrinos as dark matter and time may not be
correlated with momentum (P< 0.6666) and energy
likewise is not correlated with time (P< 0.4285) and
both are negatively correlated to time using PROC
CORR in SAS. P/E is ~ 1E-4 for quantum mechanics
of Einstein and ~2E-3 of the new method on
average. Statistical analysis (of table 3) show that
momentum transformed is non-normal (SW: P
<0.0004); Energy is non-normal (SW: P <0.0001);
speed is non-normal (SW: P <0.0001); time is nonnormal (SW: P<0.0015); and lambda (SW: P
<0.0001) for time correction method.Statistical
analysis shows that momentum transformed with
Lambda is normal (SW: P <0.0824); Energy is nonnormal (SW: P <0.0006); speed is non-normal (SW:
P <0.0001);time is non-normal (SW: P<0.0004); and
lambda (SW: P <0.0001) is non-normal. Analysis of
table 4, or final data, shows that, time is normal
(SW: P <1); momentum P is non-normal (SW: P <
0.0020);energy
is
non-normal
(SW:
P
<0.0239);speed is non-normal (SW: P < 0.0239);
and wavelength is normal (SW: P < 1.0). PROC CORR
demonstrates that time is negatively correlated
6.234E-42
6.234E-42
47710
47710
.
6.616E+13
with energy, momentum and speed but positive
with wavelength. Energy is found to be statistically
significantly correlated with speed with P <0.0001.
References
1.
2.
Agravat, Manoj. (2012). “Effect Modification,
Confounding, Hazard Ratios, Distribution Analysis,
and Probability of Non-normal Data for Head Neck
Cancer”http://support.sas.com/
resources/papers/proceedings12/315-2012.pdf
Agravat, Manoj. (2011). "Formulas Calculating Risk
Estimates and Testing for Effect Modification and
Confounding."
PROCEEDINGS,
Statistics
and
Pharmacokinetics
http://www.lexjansen.com/pharmasug/2011/s
p/pharmasug-2011-sp03.pdf
3. Cliff’s Physics (1994). ”Cliff’s Quick Review Physics”.
4.
5.
6.
7.
Cliff’s Notes, Lincoln,Nebraska
HansOhanian and John Markert. “Physics for
Engineers and Scientists.” W. W. Norton Company
(2007)
ShanaPriwer and Cynthia Phillips Phd. “Essential
Einstein”. F and W Publications (2006)
Special Relativity”http://en.wikipedia.org/wiki/
Special_relativity
“3 d plots”http://www.psych.yorku.ca/lab/sas/
greplay.htm
How to Cite this Article: Manoj Bansidas Agravat MPH "Time Correction, Energy and Momentum "Science Journal of Physics,
Volume 2012, Article ID sjp-111, 13 Pages, 2012. doi: 10.7237/sjp/111