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Definition of physical quantities with respect to space and time

Definition of physical quantities with respect to space and time. Laurent Hollo - 2012. Dimensions. The concept of Dimension Multiple universes and parallel worlds Space-time continuum (3+1) The definition of physical quantities The SI system A formalization of UNITS and DIMENSIONS.

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Definition of physical quantities with respect to space and time

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  1. Definition of physical quantities with respect to space and time Laurent Hollo - 2012

  2. Dimensions • The concept of Dimension • Multiple universes and parallel worlds • Space-time continuum (3+1) • The definition of physical quantities • The SI system • A formalization ofUNITS and DIMENSIONS

  3. SI system • Dimensions vs Units • 7 fundamental quantities • DimensionThe formal definition ofphysical quantities

  4. Dimensional mathematics • Multiplication / Division • Addition / Substraction

  5. Space-Time derivation Physical quantities can be derived from space and time only[Q]=LxTy • Space-Time derivation approaches • Maxwell [M] = L3T-2 A Treatise on Electricity and Magnetism • Roberto Oros di Bartini [M] = L3T-2 Relations Between Physical Constants • Reciprocal Systems [M] = L-3T3http://www.reciprocalsystem.com • Xavier Borg [M] = L-3T3 UnifiedTheoryFoundations (http://www.blazelabs.com) • JWG Wignall [M] = T-1 Some comments on the definition of mass • M Malovic [M] = L3 The nature of mass • Add LUFE + Naturix • Nothing in current knowledge clearly demonstrates [M]=LXTY « If, as in the astronomical system, the unit of mass is defined with respect to its attractive power, the dimensions of [M] are [L3T − 2] » J.C. Maxwell As F = Ma = GM2/r2 Then GM = ar2 So [GM] = L3T-2 But

  6. Electric Charge derivation ElectroStatic ElectroMagnetic Planck values FALSE QP≠MP1/2LP3/2TP-1 TRUE QP=MP1/2LP1/2 Electron values FALSE TRUE (Me * Re* 1e+7) ½ = 1,60217E-19 C [Q2] = ML

  7. The Cartesian Product • Definition (Wikipedia):The Cartesian product of two sets X … and Y …, denoted X × Y, is the set of all possible ordered pairs whose first component is a member of X and whose second component is a member of Y (e.g., the whole of the x–y plane):

  8. Planck values • A formal definition of physical quantities based onh, c, G, K, KB

  9. Planck values

  10. The logic • If we agree that the dimension of physical quantities can be derived from space-time only ([Q]=LxTy) • Then, by definition, all physical quantities are part of the Cartesian product of the space and time sets • If we build a matrix that presents the Cartesian product of Planck’s space and time sets (LPx * TPy) • Then all Planck values must appear on this matrix

  11. Visual representation • The SpaceTime Matrix • Simple and visual operations • Horizontal: Multiply or divide by length • Vertical: Multiply or divide by time • Highlights dimensional relationships • Defines Densities

  12. The Planck Matrix Planck Time Planck Length *LP *LP Time Space

  13. The Planck Matrix Speed of light = LP1 * TP-1 =LP3 * TP-2

  14. Known spacetime definitions [hG] = L5T-3 If [M]=L3T-2 Then [G]=1 And [h]=L5T-3 As LP5TP-3≠MP Then [M]=L3T-2 is mathematically impossible

  15. The dimension of Mass CODATA Lp = 1.616 199 E-35 m Tp = 5.391 06 E-44 s Mp = 2.176 51(13) E-8 kg Lp7Tp-7 = 2,176 42 E+59 m7/s7

  16. The dimension of G CODATA Lp = 1.616 199 E-35 m Tp = 5.391 06 E-44 s G = 6.673 84(80) E-11 kg-1m3s-2 Lp-4Tp5 = 6.674 08 E+59 m-4s5

  17. The dimension of Force

  18. The dimension of Electric Charge

  19. Synthesis Mass Time Space

  20. Synthesis

  21. Synthesis

  22. Physic Domains • Conduction group • Charge and densities • Radiation group • Flux, Potential and Field • Static and Dynamic Groups • Medium properties

  23. The Full Matrix

  24. Conclusion • The logic • If we agree that the dimension of physical quantities can be derived from space-time only ([Q]=LxTy) • Then, by definition, all physical quantities are part of the Cartesian product of the space and time sets • If we build a matrix that presents the Cartesian product of Planck’s space and time sets (LPx * TPy) • Then all Planck values must appear on this matrix • The results • The SpaceTime Matrix • Based on the Cartesian Product and Dimensional Analysis we know that • Quantities corresponding to MP and G must be on the Matrix • [M]=L3T-2 is FALSE • [M] = LPx*TPy is FALSE • The only value “close” to MP is LP7TP-7

  25. The fractal nature of spacetime • 1E83 = (1E30)2 + 1E7 + 1E16 • 20 space dimensions - 18 time dimensions Space (20) Time (18)

  26. The multiplicative factors

  27. Thank You LaurentHollo@hotmail.com

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