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  1. Topolfractal

    Background independent framework

    THANK YOU! That was really helpful.
  2. Topolfractal

    Background independent framework

    Okay do you have any recommendations for good sites on Google that explain it well. I know it involves non communative elements from the title, but why does it include non commutative elements?
  3. Topolfractal

    Background independent framework

    What are the basics of non commutative geometry and where is a good place to learn more about it?
  4. Topolfractal

    String quantized lagrangian

    And thank you for the advice I have studied QM. Although I have not studied QFT
  5. Topolfractal

    String quantized lagrangian

    Ya sorry I hate typos I meant time dependent.
  6. Topolfractal

    String quantized lagrangian

    Quantum field theory is the quantization of classical field theories like maxwells theory of the electromagnetic force
  7. Topolfractal

    String quantized lagrangian

    Hilbert space is the space of states.
  8. Topolfractal

    String quantized lagrangian

    Time independent equation governs the evolution of the wave function through time.
  9. Topolfractal

    String quantized lagrangian

    The schrodinger time dependent equation is the eigenequation for the Hamiltonian.
  10. Topolfractal

    String quantized lagrangian

    Raising and lowering operators, give one the immediately higher or lower eigenstate.
  11. Topolfractal

    String quantized lagrangian

    Quantization is the replacement of classical quantities (in the Hamiltonian) like momentum by their respective quantum operators. Thus quantization transforms a classical system into a quantum system equivalently a classical Hamiltonian is transformed into a quantum Hamiltonian. Quantum...
  12. Topolfractal

    String quantized lagrangian

    What is the quantized form of the strings lagrangian?
  13. Topolfractal

    Gravitational attraction between two atoms

    The Rumborack post is what I meant to quote before.
  14. Topolfractal

    No-faster-than-light in the special relativity

    He is asking pretty much is there a formula that works the same for angular velocities as linear velocities and whether it can be made relativistic and support the no faster than light principle.
  15. Topolfractal

    No-faster-than-light in the special relativity

    Your key is to find such a formula
  16. Topolfractal

    No-faster-than-light in the special relativity

    Adapt the linear velocity addition formula to an angular formula
  17. Topolfractal

    Gravitational attraction between two atoms

    But the law is being applied across light years.
  18. Topolfractal

    Gravitational attraction between two atoms

    And for question B no quantization has nothing to do with the calculation due to the g-force between the atoms being more than that of the force of one graviton.
  19. Topolfractal

    Gravitational attraction between two atoms

    And quantum gravity as it is currently formulated requires the existence of a graviton and therefore a quantization of gravity.
  20. Topolfractal

    Gravitational attraction between two atoms

    Picture this gravitons are waves of space time curvature. Propagation of the waves through objects in between the atoms doesn't deter them, it just bends the objects. The graviton waves will reach the other atom. For an example picture wave particle duality as in the earlier days of quantum...
  21. Topolfractal

    String Theory

    But that's precisely why we need another formulation to describe h and alpha deformations simultaneously.
  22. Topolfractal

    Mass-energy and massless particles

    I agree and see my error
  23. Topolfractal

    Relation between inequalities for first and second derivatives

    A simple counter example is F(x)= x ^2 G(x)= 1,000,000,000,000,000,000 x DF = 2x DG= 1,000,000,000,000,000,000 D^2F = 2 D^2G= 0 For x > 500,000,000,000,000,000 is not correct. For anything below those bounds it is right. The inequality you stated is only true under certain bounds because...
  24. Topolfractal

    Invariance and relativity

    This is interestingly how einstein proved e=mc^2.
  25. Topolfractal

    Mass-energy and massless particles

    Well there are several reasons why a photon is considered is considered massless . 1. Yes through experimentation. 2. Special Relativity implies it as shown below. - E = m(c^2)/ ( sqrt ( 1-(v^2/c^2)) Multiplying both sides by sqrt(1-(v^2/c^2)) E(1-(v^2/c^2))= m( c^2) Okay when v= c the E side...
  26. Topolfractal

    Quaternion theory

    Thank you, and ya for the longest time having not researched quaternions in depth, I always thought they were a 3-d version of the real numbers with three components. After reading the Wikipedia article on quaternion I understand Hamilton's motivation behind the four parts now.
  27. Topolfractal

    String Theory

    What do you mean?
  28. Topolfractal

    The natural logarithm

    Ya In(x) is what I mean
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