New SubmissionQuantum Topological Dynamics of Inner Sheaf and Outer Sheaf Universe
ORAL
Abstract
This paper presents the quantum topology and evolution dynamics of inner sheaf and outer sheaf Universe including as:
(i) the quantum speed limit (QSL) equals integer 4, and the Newton's gravitational constant G= 2/3.
Here we give a proof: the Dehn filling generalized invariants d map R onto a neighbourhood of ∞, in a complex circle, there are symmetric geometric cones of -√5, -2, -√3, -√2, 1, √2, √3, 2, √5, which maps to the Dehn filling: (-5,0), (-4,±1), (-3,±1), (-2,±1), (-1,±1), 0, (1±1), (2,±1), (3,±1), (4,±1), (5,0). It clearly is that the maximum Dehn filling pair is just 4 and -4, hence the QSL monodromic value Θ = 4. This QSL value is a topological criterion, which equals the radius of a called great circle R = √Θ = 2 or rcoh-max= 2. This criterion governs that if r < R, the deformation is canonical retract, as the Solar system, mass m=0.5, velocity v = 4×(1 - m2) = 4× (1- 1/4) = 3, according the Generalized Newton's Law (see Zhi-An Luan 2019 Canada Association of Physics Congress). Since Gmv = Id =1, G = 1/mv = 1/(3/2) = 2/3 = 0.666666..., its recent physical measured value is 0.667428×10-10 kg-1 s-2. The on G = 2/3, we have a short proof: the dynamically convex expasion of sphere is 4πr2/πr2= 4; the expansion of cubic body is 6×(2r)2/(2r)2= 6. The gravitational force pulls back from the expansion 6/4= 1.5 to Id=1, then we have: G×3/2 = Id=1, i.e. G= 2/3.
(ii) We illustrate the quantum orbits and all canonical retract deformations and exotic escape deformations of the fundamental particles and the Universe.
We found that these exists an autonomous galaxy system: critical mass m = √3 /2, its velocity v = 4(1 - m2) = 4(1- 3/4)= 1, i.e. without any dynamic deformation. In topological structure complex circle S1, its orbit with spectrum points: 1 → α= √3/2 + i/2→ β= 1/2 + i√3/2→ i → ω=-1/2+ i√3/2→ δ= -√3/2 + i/2 → -1 → δ' = -√3/2- i/2 →ω'=-1/2- i√3/2 → -i → β'=1/2- i√3/2 → α'= √3/2 - i/2 → 1.
(iii) It is most important that we found the topological structure of the Black-Hole, which is an outer sheaf universe: r > R=√QSL= 2. Its velocity is v =(rcoh)2= √52 = 5 > QSL=4. Thus its mass m=√(1- v/4)= √(1-5/4)= √(-1/4)= i/2, which is a complex mass or a Tachiyon particle mass. The Black-Hole is closely connected with Higgs particles.
(iv) We prove evolution deformations of the Universe can be described by rational disk-like global surfaces of section for the Reeb flow, which open book pages.
(i) the quantum speed limit (QSL) equals integer 4, and the Newton's gravitational constant G= 2/3.
Here we give a proof: the Dehn filling generalized invariants d map R onto a neighbourhood of ∞, in a complex circle, there are symmetric geometric cones of -√5, -2, -√3, -√2, 1, √2, √3, 2, √5, which maps to the Dehn filling: (-5,0), (-4,±1), (-3,±1), (-2,±1), (-1,±1), 0, (1±1), (2,±1), (3,±1), (4,±1), (5,0). It clearly is that the maximum Dehn filling pair is just 4 and -4, hence the QSL monodromic value Θ = 4. This QSL value is a topological criterion, which equals the radius of a called great circle R = √Θ = 2 or rcoh-max= 2. This criterion governs that if r < R, the deformation is canonical retract, as the Solar system, mass m=0.5, velocity v = 4×(1 - m2) = 4× (1- 1/4) = 3, according the Generalized Newton's Law (see Zhi-An Luan 2019 Canada Association of Physics Congress). Since Gmv = Id =1, G = 1/mv = 1/(3/2) = 2/3 = 0.666666..., its recent physical measured value is 0.667428×10-10 kg-1 s-2. The on G = 2/3, we have a short proof: the dynamically convex expasion of sphere is 4πr2/πr2= 4; the expansion of cubic body is 6×(2r)2/(2r)2= 6. The gravitational force pulls back from the expansion 6/4= 1.5 to Id=1, then we have: G×3/2 = Id=1, i.e. G= 2/3.
(ii) We illustrate the quantum orbits and all canonical retract deformations and exotic escape deformations of the fundamental particles and the Universe.
We found that these exists an autonomous galaxy system: critical mass m = √3 /2, its velocity v = 4(1 - m2) = 4(1- 3/4)= 1, i.e. without any dynamic deformation. In topological structure complex circle S1, its orbit with spectrum points: 1 → α= √3/2 + i/2→ β= 1/2 + i√3/2→ i → ω=-1/2+ i√3/2→ δ= -√3/2 + i/2 → -1 → δ' = -√3/2- i/2 →ω'=-1/2- i√3/2 → -i → β'=1/2- i√3/2 → α'= √3/2 - i/2 → 1.
(iii) It is most important that we found the topological structure of the Black-Hole, which is an outer sheaf universe: r > R=√QSL= 2. Its velocity is v =(rcoh)2= √52 = 5 > QSL=4. Thus its mass m=√(1- v/4)= √(1-5/4)= √(-1/4)= i/2, which is a complex mass or a Tachiyon particle mass. The Black-Hole is closely connected with Higgs particles.
(iv) We prove evolution deformations of the Universe can be described by rational disk-like global surfaces of section for the Reeb flow, which open book pages.
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Presenters
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Zhi an Luan
China University of Petroleum, East China
Authors
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Zhi an Luan
China University of Petroleum, East China