Matinga’s Law of Relativity - Einstein's Theory Completed

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Energy and Work in Rotation

(1)    The four dimensions of spacetime are:

                       c ^ 2    =   ( d / t ) ^ 2

                                    =  ( lambda / T ) ^ 2 ,

        2 dimensions of space (lambda) and 2 dimensions of time (period) - 4 in total (spacetime)

(2)    Matinga's Pi Rule:        Pi ^ n    =    Pi

Pi is the value of rotation in mathematics and Physics - governed by Physics.  Rotation is rotation, no matter how many times or to what degree it occurs. This will always mathematically produce the answer rotation or Pi when queried by placing pi into an equation/formula to solve.

(3)    All square functions are both parabolic and circular functions

                           C    =   2 Pi r,

                      C ^ 2   =   ( 2 Pi r ) ^ 2,                             Matinga's Spacetime Modulus

                            y    =   4 Pi x ^ 2,

                                  =   4 Pi 2 Pi f * t        

(4)                         y   =   8 Pi f ^ 2 * t ^ 2,                    Matinga's Hypershell                

C ^ 2 is the hypershell - sustained by the arrow of time which is rotational in two dimensions (spherical), not linear as often assumed ( see time and its dimensions or 'powers' in (4)).

(5)    The speed of light is a derivative understanding of spacetime. It does not exist on its own in nature. Instead it is calculated from force between one energy transmitting object and a receiving force measuring object.

(6) Albert Einstein's   m * c ^ 2   expression was correct. The limitation is that it was not applied to the correct component of energy. Mass is the inverse of spacetime:

                        U    =    m * c ^ 2 ,   matter energy

                        m    =    U / c ^ 2 ,   energy density

(7)    Hypothesis

U =    m * c ^ 2          -        m * v ^ 2 ,    E  -  K,

         E_Potential    =   E_Total -       E_Kinetic

         Energy gradients or energy potential difference

        Matinga's Law of Relativity equation

 (8)     from (7)

                        U    =    m [1] * c ^ 2  -  m [2] * c ^ 2 ,

  (9)                 U    =    c^2 ( 10 kg - 30 kg)            -    Energy

  (10)               U    =    c^2 * - 20 kg                       -    Work

                        U    =    (9)  -  (10)

                        U    =    0 J

mc^2 represents only the matter or material portion of energy. v^2 represents spacetime at a different density from c^2 for the same inertial reference frame, now transformed by a different spatial density for each of its spatial dimension, repeated as powers of the essential dimension, distance.

The example of negative mass resultant in (8) indicates missing mass. Missing, potential mass is the mass component liberated from reaction or of collision 'work'. That is counter to the potential 'energy' available, such as q*V, resulting from electrical potential difference in a complete, electrical circuit.

See below for further explanation of the spacetime density changes.

(11)                m[c]        =    critical mass or the lowest possible mass

(12)                mass        =    m [k] * Sin (x),    where Sin(x) is the optical and therefore the

                       gravitational index of (c [k] ) ^ 2, the relative inertial reference frame of matter,

                       m [k+1] * c^2, relative to the matter, m [k] * c^2, of the primary, inertial reference frame.

(13)    from (7)

                        U        =    m [k] * c ^ 2      -      m [k+1] * c ^ 2 ,

                        U        =    m [k] * c^2       -       m [k] * Sin ^ 2 ( x [k+1] )  * c^2

                      See Dot Product Rule of Angles post, in this blog for prior result explained.  I.e it explains

why theta does not change when the Sine of that angle is squared.

                        m                  =    m[k]

                        m [k+1]        =    m [k]  * Sin ( x[k+1] )

                        For any primary, inertial reference frame, the critical mass, m[c] is simply traditional       

                        mass, m,  in simplicity,     U     =    ( m [k]    -   m [k+1] ) c ^ 2 ,    Matinga's Relativity     

                        Transformation

(14)                Albert Einstein: Energy and Work

                       E    =    m * c ^ 2                                 -    Energy

                       missing                                                -    Work

(15)                Isaac Newton: Energy and Work

                       missing                                               -    Energy

                       W    =    m * v ^ 2 / 2                         -    Work

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