Why does quantum gravity (and, accordingly, graviton) not exist, and all theories professing this idea are fictitious? Because the nature of the gravitational interaction, with all the kinship with the other three (quantized), is still somewhat different.
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Like everything in the information universe, fundamental interactions are the derivatives of the metric of the universe. It is it that determines their number - four - and the basic features of each of them.
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The metric of the universe is determined by the third level of combinations of the beings of the universe (more on this here:
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As we can see, the metric operates with four basic concepts of a spherical coordinate system: azimuth, elevation, rotation and distance. They are alities for four fundamental interactions, which, respectively, are their derivatives.
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Weak interaction is a derivative of azimuthal ality. The geometry of the azimuthal degree of freedom, together with the semantics of the qualifying fragment S, determines its features: very short-range, asymmetric, cyclic, low strength.
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Strong interaction is a derivative of elevational ality (qualifying fragment O). This leads to its features: short-range, symmetric, semi-cyclic, very high strength.
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Electromagnetic interaction is a derivative of rotational ality (qualifying fragment SO). Its features: dual, medium-range, symmetric, cyclic, medium-strength.
(Rotation is not orthogonal to azimuth, resulting in electroweak unification.)
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Gravitational interaction is a derivative of the distance, its ality is the pair "observer-observable" in the metric of the universe. Its features: long-range, symmetric, non-cyclic, very low-strength.
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A significantly different semantic and geometrical character of ality "observer-observable" leads to significantly different properties of gravity from the other three interactions.
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The value space of distance is not limited, therefore gravity is a real long-range interaction: a smooth field is present at every point in space at any distance from the source.
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The other three interactions have limited value spaces. For the weak it is a circle, for the strong – sphere, for the electromagnetic – space of directions. The finite space of values does not form a smooth field, it requires virtual particles to ensure interaction.
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Despite the fact that the inverse square law makes sense for electromagnetic interaction, it is not long-range in the full sense, because it requires carrier particles, the flow of which may be too rare and/or screened.
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The properties of elementary particles are derivatives from the alities:
• spin - azimuth,
• color charge - elevation,
• charge - rotation,
• mass - distance.
The limitation of value spaces determine the discreteness of the first three and the smoothness of the fourth.
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Gravity interaction is symmetric about the center of the spherical coordinate system. This provides a mirror difference of the antimatter properties:
• antigravity,
• reversal of electric charge,
• reversal of color charge,
• right-handed weak interaction.
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Weak interaction has no symmetry. In the limit, the azimuthal rotation can take either an integer value (circle) or a half-integer value (the opposite of a whole-half a circle). In this case, it is impossible to distinguish whether a right or left turn is performed.
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Strong interaction is symmetric about the azimuthal plane of the spherical coordinate system. This symmetry provides:
• polarity of forces of attraction/repulsion of quarks in hadrons and hadrons in atomic nuclei.
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Electromagnetic interaction is symmetric about the meridians and parallels of the spherical coordinate system. This symmetry provides:
• relative to meridians - electromagnetic dualism,
• relative to parallels - polarity of Coulomb forces of attraction/repulsion.
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Gravitational interaction is non-cyclical: unlike the other three interactions, there is no circle in the geometry of its ality. This means that it does not have a carrier particle (with its particle-wave duality), and it does not form an oscillatory process.
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Geometrical non-cyclicity of distance ality, in particular, means that gravitational waves do not exist. What LIGO is observing is not a wave, but a sinusoidal change in field strength corresponding to the spiral trajectory of its source.
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Weak interaction is characterized by azimuth cyclicity, which results in the mutual similarity of the particle transformations (cyclicity of β-decay reactions).
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Strong interaction is characterized by elevation semi-cyclicity, which results in confinement: quarks cannot be removed outside the region of strong interaction.
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The inherited azimuth cyclicity determines the ability of a strong interaction to self-bond, in particular, mesons are the carrier of interaction for nucleons in the nucleus.
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Electromagnetic interaction is characterized by rotational cyclicity, which results in the ability of the carrier (photon) to exist independently of the source, due to mutual electric and magnetic induction.
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The elevation semi-cyclicity inherited by electromagnetic interaction determines the fixed minimum electrical charge.
Inherited azimuthal cycling determines the reversible ability of opposite electric charges to annihilate.
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The strength of the interaction depends on the number of characteristic directions in the metrics. With a small number of directions, it is small, since the interacting beings have little same information. With too many directions, it decreases due to their heterogeneity.
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Gravity has the only characteristic direction - from the center of the metric along the distance, therefore gravity is the weakest of the interactions.
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Weak interaction is stronger than gravity, since it has two characteristic directions in the metric: forward (along the full turnover) and backward (along the azimuthal half-turn). (They correspond to half-integer and integer spin values.)
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Strong interaction is stronger than weak one, since it has six characteristic directions in the metric: up/down, forward/backward, and right/left. (They correspond to six color charges and six types of leptons.)
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Electromagnetic interaction is weaker than strong one, since the geometry of the metric defines too many characteristic directions for it: eighteen.
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The roles of fundamental interactions in the universe are determined jointly by the semantics (i.e. complexity) of their alities and their place in the metrics geometry. This determination is non-linear: gravity is the lowest in complexity and the highest in the metric.
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The complexity of being is determined by the combination of its components. Alities of fundamental interactions in order of increasing complexity:
• ((SO)S)((SO)O) - gravity
• ((SO)S)((SO)O)S - weak
• ((SO)S)((SO)O)O - strong
• ((SO)S)((SO)O)SO - electromagnetic
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The more complex a being, the more differentiated it is in the universe. This can be seen in the 3D form of the Standard Model:
• gravity is typical for all particles,
• weak - for leptons and quarks,
• strong - for quarks,
• electromagnetic - for charged particles.
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The simpler the being, the easier it enters into combinations in the universe:
• gravity - does not require carriers,
• weak - heterogeneous carriers (vector bosons),
• strong - homogeneous carriers (mesons) and gluon,
• electromagnetic - only one carrier (photon).
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The highest place of gravity in the metric is determined by the degrees of freedom in a spherical coordinate system:
• weak - azimuth,
• strong - azimuth, elevation,
• electromagnetic - azimuth, elevation, rotation,
• gravity - azimuth, elevation, rotation, distance.
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The ality of gravity in the metric is the same as for the universe's space, which, being the space of observations, is also determined by the same spherical coordinates. This sets the responsibility of gravity for the spatial positioning on the scale of the universe.
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Therefore, the non-quantization of gravity is an absolutely necessary factor for the existence of the universe: quantum noise in spatial positioning would be lead to chaos. Gravity forms a smooth force field with a deterministic definition of bodies movements.
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So gravity is not quantized because:
• the ality for gravity in the metric of the universe is the degree of freedom "distance" of a spherical coordinate system, which has an unlimited space of values (in contrast to other interactions), ...
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• the distance is non-cyclic, which excludes the presence of carrier particles (with their dual corpuscular-wave nature), ...
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• gravity is responsible for spatial positioning on the scale of the universe, the quantization of which would be incompatible with the existence of the universe.
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