Unification of the general theory of the relativity and of the quantum mechanics

Quantum Geometry
Model Dimensional-4; of the Matter, the Energy and the Vacuum
Rafael Javier Martínez Olmo
E-mail: Raf...@xxxxxxxxxxxxxxxxxx
http://www.gravityquantum.com

Prologue:
The object of this work is the unification of the General Theory of
the Relativity and the Quantum Mechanics by means of the elimination
of the randomness in the second one.


The cause that stops this unification is the existence of an ERROR in
the foundation of the Logic. This one Error was transmitted like a
virus to the mathematics, by means of the procedure of abstraction
and
of this one to the physics because of the imitation.
Although the mathematics given your abstract character, are almost
immune to this virus, the same does not happen with the Natural
Philosophy, today so-called Physics, considering your concrete
character on to have clearly to describe the reality of the laws of
the universe and submit it to the experimental contrast.


This Error is the mathematical concept of point. The concept of point
is unique
.
Since it possesses two mutually exclusive properties of simultaneous
form; they are, the existence, and not existence But does not exist
nobody which think of God or of any other entity, ideal or material,
that exists and does not exist simultaneously, except naturally the
ideal concept of mathematical point or of dimensional = 0.


The point exists because have a position in the spacetime that is
specifies and unique, which is determined by the components of your
coordinates.
The point does not exist because of not to have dimensions.
(Dimensions = zero), not has high, has no length, has no breadth, and
finally, does
not exist in the time


This incoherence is so subtle and invisible like a virus, since we
know your consequences for 2600 years. Historically it has presented
himself three times, so that we solve it and always hidden under the
continuity.


The first time that presented your incoherence is in the four
sophisms
of Zenón de Elea, 2.600 years ago and whose logic is perfect, closed
and conclusive. They were enunciated to the philosophers in Athens,
surely to Socrates (Aristóteles and Platón, lightly posterior, knew
perfectly this speech given by Zenón.


The second time that appeared again the contradiction is in the
invention of the infinitesimal calculation. In that epoch, many
intellectuals were opposed to the new theory of the "Calculus",
especially in your logical base. Since it were born to explain the
movement and the variables that it determines, speed and
acceleration,
and nevertheless, It is impossible to explain the movement in term of
points. If placed in any one we can happen neither to the following
point, nor to the following one of the following, nor to the
following… because of lack of ordinal, not exist a following or
previous point, to any given point.

It is the contradiction hidden in the infinitesimal calculation, and
never solved, because of being unsolvable, because of to go
implicitly
the incoherence of the mathematical point. (Dimensional = zero) with
the one is made the mathematical "continuum" (R). As the
infinitesimal
calculation, it work perfectly, and the contradiction subtle was not
warned, the intellectuals had to be quiet unwillingly. With it, the
movement entered the exclusive club of the point. The movement is
continuous in terms of point (by definition), but only it is possible
to explain (and to be demonstrated mathematically) in discreet terms
(e >0).


The third time that appeared the incoherence, it is with the birth of
the Quantum Mechanics. The particles are not allowed to confine in a
point, (Principle of uncertainty of Heisenberg). The logical
incoherence of the point, hidden like always, under continuity, went
unnoticed again.. Thanks to it, the Physics it has remained divided
into two. Having introduced the randomness in the quantum world,
thanks to which, the universe has the heredity of the point, him
possesses simultaneously two mutually exclusive properties: It is
aleatory or it is causal according to the size of the piece of
universe that we study. If we see the microcosm, it is aleatory and
if
we see macrocosm it is causal.

Abstract.

If we understand the Differential calculus as a Physical Theory
(reality) [1] and not like a mathematical model, which brings us near
to this one infinitely, but without reaching her. Using the
mythological set of the Real numbers (R), we see that it is the
logical way that shows us the elementary and quantum nature of the
Geometry of the "Space-time"; whose elementary components, in the
sense of without parts, are volumes in the time (VT), “ Four
Dimensional ones ” (D4), infinitesimal (e>0 ) and of curved topology
(Pi).
This route based on the Differential calculus, is the Quantum
Geometry. The writing tries to sit the bases and theoretical
essentials of this way, which unifies the experimental results of the
Quantum Mechanics with the theory of the General Relativity, by means
of the hidden variables (O_Pi) . It is space temporary curvatures of
the quantum events.
The model is of relation and independently from fund (Quantum
Relativity), where so much the General Relativity like the Quantum
Mechanics they are modified, the first one is specified in an
elliptical geometry of radial dynamics (D = 4). The second one is
completed introducing the causality, replacing the statistical
treatment (aleatory) with a geometric treatment (determinist).


The Quantum Geometry he gives a causal explanation of the Quantum
Mechanics, establishing an one to one connection, between the
statistical results and the elementary geometries (without parts) of
the "Spacetime", which contains the above mentioned quantum event.
Likewise, he determines the geometry and the metrics of the Nature in
your elementary scale, specifying the model of Quantum Relativity.
The attempts of unification of both theories, they have always failed
for the appearance of the infinities. The origin of these
indeterminations is in an equivocal reading of the "Calculus".
Consequence of the error of expressing the continuity in terms of
dimensional points zero (Dimensional = 0; R).
The set R they have allowed us up to today to represent the physical
reality to our scale. But he sinks of unequivocal form on having
faced
the description of the elementary nature of the "Spacetime"; that can
be described only in elementary (indivisible) terms, for geometric
objects “ Four Dimensional ones ”, Volumes in the Time; (VT); and
represented by the set of the natural numbers (N, )
Consequently, the continuous term is put up only to discreet under
the
concept of point zero dimensional one (D = 0; R) (infinite
divisibility). The singularities do not exist, therefore, in the
Nature; it is the result of using the set of the real numbers out of
context (scale). There are mathematical singularities (division for
zero) and Not physical.


This model is finite, quantitative, and prophetic. With experimental
contrast from levels of energy between 1 and 8 TeV. He will be
irrefutable at a level of energy lower than
253,177 660 585 902 TeV.
(Supreme value of energy of an Elementary Quantum event)


[1]Reality = The contrastable for physical, verifiable
experimentation
for sufficiently precise measurements.


.

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