File:Partial-Inertial-Systems 20151118.jpg

English: Photo shows several Inertial Systems simultaneously:

4 vehicles and 2 rotating wind wheels at beginning of sunset: Red and black car in outside mirror of standing white car and truck and wind wheels in side window of white car.

Light frequency (LF) of red car is higher, LF of black car is lower and LF of truck and wind wheels is equal to white car (vertical view).

==> Discrepnacy to Einstein's defintion of Inertial Systems and Special Theory of Relativity (SRT).

Conclusion: Not velocity makes time-Dilatation but accelaration!

A) Newton-Mechanics:

New force-acceleration(field)-formula which can improve this:

F = 0,5 x [ n* ( h / c^3 ) ] x a^2 N1)

n* = any element of natural figures/numbers a = any acceleration(field) in [m/s^2] h = 6,62606957... x 10^-34 Js c = 2,99799245801... x 10^8 m/s

With F = 1 N and a = 1 m/s^2 follows: n* = 813272548242 x 10^47

With F = m x a follows definition of mass kg:

1 kg =(!) 406636274121 [s^2/m] x ( h / c^3) In same way definition of 1 Newton and 1 Ampere is possible!

B) Relativity Theory (with modified Lorentz-Transformation):

beta = SQRT { 1 - [ ( v^2 / c^2 ) ] } R1) Classic Lorentz-Transformation (cLT)

When using v = v0 + a x t in R1) in case of relativistic addition of velocity and using acceleration a from N1) there results relativistic Lorentz-Transformation-formula (rLT):

beta* = SQRT { 1 - [ ( v0^2 + 2v0 x alpha + alpha^2 ) /

           ( 1 + ( 2v0 / c^2 ) x alpha + ( ( v0^2 ) / ( c^4 ) ) x
            alpha^2 ) ] / ( c^2 ) }    R2)  with

alpha = SQRT { [ ( 2 x F x c^3 ) / ( n* x h ) ] } x t R3) Dimension of alpha = [m/s]

Discussion and declaration of R2) and R3): For limes [alpha] ==> Zero or infinity follows beta* = beta. This means only accelaration is causing time-Dilatation (TD). When accelaration stops, TD remains "storaged" in velocity v, so that cLT (R1) remains true as a "borderline" of rLT (R2) !

C) Electrodynamics (Maxwell):

rot [H] = [ j ] + (d/dt) [D} M1) rot [E] = - (d/dt) [B] M2) div [D] = rho M3) div [B] = 0 M4)

Trick-Indication (Brainstorming): ( (d/dt) [H] / rot [H] ) x dx dt =(!) d [A] dx dt = Quantum-Mechanical space-time or time-space!

With dx = lp (Planck-distance) and dt = tp (Planck-time) follows:

c x rot [ H ] = ( d/dt ) [H] M5)

and further:

( d [ A ] / dV ) x ( h x c) = E0 M6a) Planck sleeping energy of space-time

( d [ A ] / dV ) x ( h / c) = m0 M6a) Planck sleepingmass of space-time

d [A ] and dV = Surface- and Volume element according to Integral sentences of Gauss and Stokes.

Number example (Application):

Sphere Volume V = ( 4 / 3 ) x Pi x r^3 Sphere Surface A = 4 x Pi x r^2 Sphere (Surface/Volume) A / V = 3 / r

With r = 0,5 x SQRT (3) x lp (Planck-Sphere over Planck-cubicle) and M6a) and M6b) follows:

Planck-sleeping mass of space-time: m0p = ( 2 x SQRT(3) / lp ) x ( h / c) = 4,73721614036... x 10^-13 kg

Planck-sleeping energy of space-time: E0p = ca. 425,76 GJ

Attemption to declare "inertial mass" (and Higgs-Effect): When physical object is moving (for example sphere), ist Volume-contraction is decreasing faster than closed Surface-contraction around the object. Therefore expression ( d[A] / dV ) proportional to (1 / r ) is increasing (also m0 and E0). When ( 1 / r ) is becoming near Planck-dimensions, then increasing of ( d[A]) / dV ) becomes slower and finally is not possible anymore... and maybe the "Moving-System" of object and time-space is reacting with Higgs-field and Higgs-particle to ensure energy-balancing in the near of Planck-Dimensions...

D) Quantum Mechanics:

Postulates - To define "Location" or "numbers", "time" is necessary. - "Nobody or Everyone" is "understanding" or "watching" Quantum Mechanics!

E) Thermodynamics (4th Main clause fictive):

0 <= (dS/dt) <= (?) ! Differential Equal of Entropie S)

F) Mathmatics

"Sentence of Fermat" and consequences

a^n + b^n not equal c^n for n>=3 and a,b,c element of N (natural numbers)

==> Group-axioms (Addition/Substraction) for volumes of 3-dimensional objects not applicable!

Postulate / Axiom: Number / amount of "natural Prime-numbers" (physical relevants) P* is limited / finished!

P* = { i^i, e, 3, Pi, 5, 7, 11, 13, 17, 19, 23, ... , 719, ... ,

         1760330191, ... , [ ( 666!!! - 1 ) ] }

Notice: i^i = e^-Pi = 0,04321... (Transcentental Number) 3!!! = 6!! = 720! = ?

Possible conclusions Overall ( A) - F) ):

"Nature and nature's laws lay hid in night, God said, let Newton be and all was light!° (A. Pope, 17th century)

Universe is one Inertial System! (Main clause of relativity)

Einstein's law E =m x c^2 is only valid under conditions of Heissenberg's laws: delta E x delta t >= h and delta p x delta s >= h ( Impulse p = m x v = F x t )

==> It is impossible to define exact Energy E = h x f = m x c^2 simultaneously giving exact value of Light velocity c of photones!

==> c = c +- delta c (unsharp value of c is necessary)

==> c isn't constant ! (because not exact ! )

Written by

Claus Müller (*1962) Dipl.-Ing.(FH)

Electro-Engineer and "Hobby-Physician"