to infinity and back

[AntonioLao]

Answering the question ‘what is motion’, the calculus (differential as well as integral) as originally invented and developed by Leibniz and Newton presupposed the taming of infinity as that found in manipulating infinite series. The validity of the calculus hinges on the existence of convergences of these infinite series for determining the finite values of the infinite sums. The principle behind these convergences is the principle of directional quantizability, the smooth connective transitional direction from discrete to continuous or vice versa (at a deeper level this directive property of space and time is influenced by the principle of directional invariance). This connective transition completes Zeno’s paradox front and back. Front, when considering spacetime as discrete and back, when considering spacetime as continuous.

Taking a linear slice (straight or curved) through the spacetime continuum and representing this line by the infinite series S given as S = + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + …, without any directive property, each quantum of spacetime continuum is preceded by a plus sign. This plus sign can be used to signify outward motion with respect to each quantum, but how about all those inward motions into the quanta? For completeness, surely, these inward motions must exist in principle. The inward motions can now be represented by minus signs. Such that the series is transformed into S = - 1 – 1 – 1 – 1 – 1 – 1 – 1 – 1 – 1 – 1 - …. The mixing of pluses and minuses can be used to represent both outward and inward motions given by S = + 1 – 1 + 1 – 1 + 1 – 1 + 1 – 1 + 1 – 1 + …. It is well known in the mathematical circle that the groupings of terms in the series can give at the least three different sums: ½, 1, 0, leading mathematicians to believe that there is no correct answer. Since mathematicians are mostly obsessed with finding unique answer to every mathematical problem, they have completely abandoned further study of this infinite series.

[Guille]

does this relate to why or how can energy be transfered-which implies movement (motion)-be three dimensional and don't have time.

Because if it transefears, it has motion. I fit has motion, it has time. Doesn't it?

[AntonioLao]

does this relate to why or how can energy be transfered

in the series S=+1-1+1-1+1-1..., each of the 1's represents the square of energy. The square of energy has two distinct topologies: H+ and H-. Therefore in the series +1 represents H+ and -1 represents H-. The space charge of all H's has an absolute value of 1/6.

photon is 4H+ and 4H- (electric charge 0)
electron is 1H+ and 7H- (electric charge -1)
positron is 7H+ and 1H- (electric charge +1)

by vacuum polarization experiments: electron + positron = 2 photons

motion is transformation between virtual photons (3D) and virtual electron-positron pairs (4D) at the local region of spacetime. I called this type of transformation as a Local Infinitesimal Motion (LIM).

[Guille]

in the series S=+1-1+1-1+1-1..., each of the 1's represents the square of energy. The square of energy has two distinct topologies: H+ and H-. Therefore in the series +1 represents H+ and -1 represents H-. The space charge of all H's has an absolute value of 1/6.

photon is 4H+ and 4H- (electric charge 0)
electron is 1H+ and 7H- (electric charge -1)
positron is 7H+ and 1H- (electric charge +1)

by vacuum polarization experiments: electron + positron = 2 photons

motion is transformation between virtual photons (3D) and virtual electron-positron pairs (4D) at the local region of spacetime. I called this type of transformation as a Local Infinitesimal Motion (LIM).

does this lastthing mean, that there CAN be dimensional crossing? it would help to my processes....

[AntonioLao]

does this lastthing mean, that there CAN be dimensional crossing?

crossing dimension from 4D to 3D use Einstein's mass and energy equivalence

[math]E=mc^2[/math]

crossing from 3D to 2D use my equivalence of energy and continuous space.

[math]S=cE[/math]

crossing from 2D to 1D use the product of Einstein's field equations of general relativity and the speed of light c. The product is the square of energy as that described in TQS.

[Guille]

With that question I menat that when that strange proces of polarization or whatever happens, the 4dimensional particles electrons and protons of matter, convert crashing or doing something to photons (2dimensional).

how?

[AntonioLao]

how?

electron is 7H- and 1H+
positron is 7H+ and 1H-
photon is 4H+ and 4H-

electron + positron is 8H+ and 8H- which is equal to 2 photons.

[Guille]

electron is 7H- and 1H+
positron is 7H+ and 1H-
photon is 4H+ and 4H-

electron + positron is 8H+ and 8H- which is equal to 2 photons.

ow, now I ket it. thanks. I understand your time explenation at the top and others.

[AntonioLao]

At a later date, I hope to supplement this post with a table that shows how the fundamental particles both fermions and bosons can be described by using H+ and H- topological structures of spacetime quantization.

[mkirkpatrick]

Surely motion arises when the will acts with the intention of doing?




regards michael.