Independent-Time, Schrodinger Equation ...

1/24/2015

Independent-Time, Schrodinger Equation, Heisenberg Uncertainty Principle, and Energy Correction

Published on Science 2.0 (http://www.science20.com) Home > Physical Sciences > Chemistry > Science Columnist > Independent-Time, Schrodinger Equation, Heisenberg Uncertainty Principle, and Energy Correction

Independent-Time, Schrodinger Equation, Heisenberg Uncertainty Principle, and Energy Correction By Manoj Agravat Created Mar 27 2014 - 12:38pm

Time correction addresses the dynamics of energy, probability and uncertainty dynamics revealing certain trends. Max Born states the electron's position needs to be described by a probability distribution (15). The Herz relation however does not imply probability relations directly. With the transformation there is a path with energy correction to yield mc2 (14) yet yields an equation different than predicted

.

Thus the transformation of and energy correction for low rest mass velocity yields the relationship of energy of electron different when time based on time correction is an intermediate. Schrodinger stated En ~ E/n2 and Einstein hence the equation of Schrodinger, who was non-relativistic, may not be equivalent to low rest mas energy of electrons energy and principal quantum numbers. Einstein's light hypothesis of 1905 for photons states based on (16). With Einstein's light hypothesis (1905) and the time correction plus energy correction for low rest mass velocity, the relationship for energy of photon yields the proof for energy of electrons' in orbit.

The Principal quantum number with time correction shows a relationship similar to Schrodinger’s equation for energy of electron in orbit. Schrodinger’s equation En ~ E/n2 is approachable with a new method shown where Time ~ D2 / 2c hence energy correction Eec ~mD2/tec2 will change to 4mc2/D2 intermediate to 4mc2/n2 (14) where the velocity is the hypotenuse in a right triangle and elliptical energy correction is applied vs for circular orbits of low rest mass velocity and time correction ( also showing a right triangle relationship for inverse sine plus inverse cosine of ) The change in time has a relationship also which can help when checking for energy time dynamics for time correction similar to Schrodinger’s equation for energy of orbital different by a factor of 4 shown in step (1).

1) v = (d2) ÷ (2t) (2) E ~ 4mc2 /D2 (3) E ~ 4mc2 /n2 (4) Δt ~ tu (5) tu ~ sqrt (mD2 )/sqrt(E) (6) V~ c/137

http://www.science20.com/print/132800

1/8

1/24/2015


-MH ~ 9.1E-31 kg -DH ~ 5.29E-11 m The time correction method involves the distance as hypotenuse differing from the relation of velocity by factor of time in step (3) which demonstrates the formation of energy in step (3) and procedure. The energy formulation is utilized for calculation of energy change in orbit ‘n’. The delta energy between quantum numbers utilized for the uncertainty calculation is shown next. Uncertainty correction as shown in step 5 is not an example of time correction. The method of isosceles right triangle shows a decrease in uncertainty as the transition becomes at higher orbital levels. In table 1b, the uncertainty (product of energy change with time change) for electrons is in magnitude (9.09e-38 J*s) for exponential of neutrinos as well as special relativity for neutrinos (2.45E-38 J) for principal quantum level. Table 2 and the Bohr Model shows different behavior for uncertainty where there is higher energy at level for principle quantum number 1 than 2 and 3. After the lowest quantum number level, the the change in uncertainty for electrons is increasing by unit increase in quantum number.

Table 1a: Hydrogen Atom, Hypotenuse Method with Bohr Model and No Time Correction

Principal Quantum Number ‘n’

E~4mc2/n2

1

4.33E-24

2

1.08E-24

3

4.81E-25

Table 1b: Hydrogen Atom, and Heisenberg Uncertainty Principle with Bohr Model and No Time Correction or Uncertainty


ΔE~4mc2/n2

ΔE Δtu

Δ 1 to 2

3.25E-24

9.09E-38

Δ 2 to 3

5.99E-25

3.90E-38

The energy of orbitals based on relation yields values of 3.26 E-19 J, 8.16 E-20, and 3.63 E-20 J for n=1,2,and 3 and the hypotenuse 'V' for right triangle for time correction with speed of light utilized as velocity.

Table 2: Hydrogen Atom, Hypotenuse Method, and Heisenberg Uncertainty Principle, Time Correction of Principal Quantum Number with Bohr Model and Uncertainty Time http://www.science20.com/print/132800

2/8

1/24/2015



ΔE~mc/n

ΔE Δt

1

1.98E-27

2.24E-39

2

9.92E-28

1.58E-39

3

6.61E-28

1.88E-39

Figure 1 indicates, for the principal quantum number, an increase in change of time has lower levels of energy (according to table 2). Figure 2 shows a nonlinear and irregular relationship for the uncertainty principle.


3/8

1/24/2015


To compare the electrons with neutrinos for characteristics in time, one may observe that for electrons ∆E*∆t is positive (Table 1) and negative for neutrinos (2). Energy Transition for ‘N’ is Consistent with Uncertainty and Shows Decreasing Pattern for Increasing Levels as in Table 1. Energy Correction and Time Correction also shows a decreasing trend for time increasing for neutrinos as in Figure 3.

The new velocity is closer to time of dilation estimate of 2189 or 2192 s (for tc * Vc of elliptical time correction) and Bohr model estimate of velocity of c/137 for hydrogen and about 2182 km/s. http://www.science20.com/print/132800

4/8

1/24/2015


Distance divided by velocity yields time. The factor of about 1.049 for this scenario then the natural log of the probability of the time measure of .511 is roughly -.669 or less than the absolute value of half-life constant for radioactive decay related to higher time and higher velocity values (table 3). Time correction shows the increase of velocity is associated with less time values (Agravat 2012, 2013, 2014) a trend that may be alarming for conservation of energy due to the similarity. Time correction of time = distance/ velocity relation with Bohr model estimate yields time of 4.17E-34 s vs 1.02 E-61. If this estimate is utilized for Δt then the new of Uncertainty is remarkably different. T2 ~ P(c) – c3 /(1-c) (Agravat 2012a) where c= 2182 km/s gives values that are complex for time of about 1.02E+10i s with P (c) if natural log is done with the transformation of c/137 (10). Otherwise the estimate of tc from Ec yields 4.17E-34 s with Bohr's estimate for Hydrogen electron velocity. Time squared will approach infinity. Some relationship s are valid for hyper-geometric equations such as F(z) ~ c and Y ~ m in Agravat Series which indicates decrease in velocity as well as the non-time correction based velocity method (Agravat 2012a) where numbers escalate by absolute value or deviate from 0. The limit of energy correction as ΔEec as mass approaches infinity nears 0; likewise, gravitational singularity is more pertinent when the Energy correction is related to distance squared divided by time squared as in black holes. The formulae below shows that the parameters of real numbers may indicate that probability of negative numbers will produce positive probability and time (see table 3). Table 3: Probability and Independent-Correction Velocity

Probability

Y(mass)

Z(speed)

Time

8.38

-2

-2

6.77

3.78

-1

-1

2.17

Omega

0

0

Omega

1.36

1

1

0.220

1.13

2

2

sqrt(-.342)

Table 4: Energy Correction and the Independent-Correction Method

Probability

Time

8.38

6.77

3.78

2.17

5.35E-52

Omega

Omega

~0


Eec (J)

5.55E-53

5/8

1/24/2015


1.36

0.220

5.26E-50

1.13

sqrt(-.342)

-7.44E-51

There is a right triangle relationship between energy correction Eec and Probability P(z) (whether time or velocity is plotted) by area. If P(z), probability, has a mutually exclusive relationship where the product with z, speed, is shown then the result is 0. There is also a noted right triangle relationship for Energy correction with Heisenberg Uncertainty Principle (Wikipedia: Time Correction)

Formulae:

(7)

(8) Energy correction Ec = (m × (D)2) ÷ (tc2) will yield values which are in range of: 1) 5.55E-53 Kgkm2/s2 for -2, and 2) -7.44E-51 Kgkm2/s2 and 2. The velocity adjustment utilized is by v=Zαc and the Bohr model where Z is the atomic number and c the speed of light (Wikipedia: Extended periodic) according to Feynman and Dirac’s relativistic equation in all the tables given. If time correction method values were replaced by independent time in energy correction yields values from positive to negative ranges but still decreasing velocity trend as shown (table 3) where z~speed and y ~mass in probability (P(z)) or Agravat series. The parameter of 2 which gives values that are higher based on absolute values of energy being positive for the negative parameter. Ec and positive parameters give negative energy ranges. In a discussion on stars and galaxies, Newtonian physics predicted that stars on the outskirts of a galaxy would orbit more slowly than stars at the center (Moskowitz, 2013). According to the independent-time-correction method and time approaching 0 or relationship of special relativity and energy correction, as parameters are at or near 0 the time and probability are higher based on absolute values and less on the outer or larger values. The question is based on the sun as center the velocities are similar for Independent-time correction method and velocity combined compared to Issac Newton. Finally the irony is for time correction velocity of neutrinos (1), the difference in velocity for the correction for respective velocities yields a constant but negative acceleration of about -3.12E6 (dV/dt). The time observed for neutrinos in on measure of about 60 nanoseconds in CERN (2011) indicates for the maximal velocity minus lesser for time observed the acceleration is positive and the square (+/-4.2E12) in proportion to the time correction method. The minimal velocity with respect to the time observed gives the negative component of the same value for acceleration. The Rutherford - Bohr model in 1913 shows the transition energy for elections and many electron models is proportional to

. Since,

involves

with energy and time correction of low rest mass velocity, specifically the energy of electron change of many electron model may change to . According to Bohr's third postulate, electrons can only gain and lose energy based on jumping from one allowed orbit to another. According to Planck's relation as stated, . However, the as change in time increases the change of energy correction decreases, in figure 1 and table 2. This trend of change in energy of neutrinos is similar as for electron for increase in time correction as shown in figure 3. For table 2 and the new relation , the values show that the change of electron's energy will be 9.88 E-28 J vs Planck's relation or Rutherford- Bohr model for change for principal quantum number sates of 1 and 2 of implying the http://www.science20.com/print/132800

6/8

1/24/2015


higher quantum sates has higher values while table 2 shows lower values implying negative expectations of energy. The elliptical energy correction method for outer space has a different formulation

.

Reference [1] Agravat, Manoj B MPH . Time Correction, Energy and Momentum . Science Journal of Physics. Volume 2012, Article ID sjp-111, 13 Pages, 2012. doi: 10.7237/sjp/111. [2] Agravat, Manoj B MPH , New Methods for time Correction of Energy, Momentum, and Heisenberg Uncertainty Principle, Asian Journal of Science and Technology , Vol. 4, Issue 5 , Pages 59-66, 2013 , http://journalajst.com/sites/default/files/1214.pdf [3] Agravat, Manoj. (2012a). Effect Modification, Confounding, Hazard Ratio, Distribution Analysis, and Probability of Nonnormal Data for head Neck Cancer. Global SAS Forum 2012. http://www.sascommunity.org/mwiki/images/b/b8/GSF_315-2012_-_Amended.pdf [4] http://en.wikipedia.org/wiki/Speed_of_light [5] http://www.science20.com/upstart_biostatistician_and_other_fields/blog/proofs_biostatistics_and_probability-130820 [6] Clara Moskowitz http://www.space.com/11642-dark-matter-dark-energy-4-percent-universe-panek.html [7] http://en.wikipedia.org/wiki/Extended_periodic_table [8] Feynman, Richard P. The Strange Theory of Light and Matter. Princeton University Press (1985). [9] http://www.pha.jhu.edu/~rt19/hydro/node2.html [10] Manoj Agravat http://www.science20.com/upstart_biostatistician/blog/time_correction_lc_and_principal_quantum_number-131551 [11] Agravat, Manoj. New Time Dilation, Time Correction, Photoelectric Effect, De Broglie Equation, and Hypotenuse Axiom Method. Asian Journal of Science and Technology. Vol(5): Issue 1. 2014. [12] William Revelle, Using R for Personality Projects, (Northwestern University). http://personality-project.org/r/r.short.html [13] Clara Moskowitz http://www.livescience.com/19075-neutrino-particle-communications-message.html [14] Google Wpedia Japan for Time Correction http://wpedia.goo.ne.jp/enwiki/Wikipedia_talk:Articles_for_creation/Time... [15] Atomic Orbital http://en.wikipedia.org/wiki/Atomic_orbital [16] Schrodinger Equation http://en.wikipedia.org/wiki/Schr%C3%B6dinger_equation [17] Bohr Model http://en.wikipedia.org/wiki/Bohr_model http://www.science20.com/print/132800

7/8

1/24/2015


Chemistry ION Publications LLC Source URL: http://www.science20.com/science_columnist/blog/independenttime_schrodinger_equation_heisenberg_uncertainty_principle_and_energy_correction132800


8/8