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strings of ideas: 04/01/2014 - 05/01/2014

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Monday, April 28, 2014. The Essential Quantum Field Theory. Classically, the electron is fundamentally different from a photon. In QM, we see them not that much differently as particles/waves. How is this to be reconciled? So why quantum field theory? What is Quantum Field Theory? Setting ℏ =c=1, this means we can express everything in terms of mass, or equivalently, energy (eV). For example, λ = ℏ/mc ⇒ [ L ]= [ M. For the electron, M. EV ⇔ λ. At the Planck scale, G = ℏc/M. 1) S = ∫ dt L(x(t),v(t) ;.

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strings of ideas: Another argument against the BBT

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Wednesday, November 19, 2014. Another argument against the BBT. In The Equivalence Principle and the Big Bang Theory. According to an observer in our galaxy, he sees every other galaxy moving away. (Black Arrows). However, an observer from another galaxy, say the blue one, sees the other galaxies moving away but in different directions than what we see (Blue Arrows). The last remaining argument in favor of the BBT is the Cosmic Microwave Background (CMB). It has been said that only a Hot Big Bang sce...

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strings of ideas: The Equivalence Principle: BBT or SUT

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Saturday, December 20, 2014. The Equivalence Principle: BBT or SUT. Einstein made the following reasoning:. He took the Doppler Effect and using the Equivalence Principle, turned it into a Gravitational Shift. And then from there, he derived his eponymous Field Equations. See The Essential General Relativity. By reversing this reasoning I've shown the following:. See The Equivalence Principle and the Big Bang Theory. Subscribe to: Post Comments (Atom). The Collapse of the Wave Function.

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strings of ideas: Killing Vectors and Hawking Radiation

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Wednesday, May 20, 2015. Killing Vectors and Hawking Radiation. We start out with the interval (see equations (6) to (23) in Relativistic Doppler Effect. We define the metric. As the coefficient of each of the terms in the above:. 0 for i≠j. We can rewrite equation (1) in the general form,. 5) dτ = dt/γ. 6) where γ = (1 - v. We measure the velocity with respect to the proper time τ, not the ordinary time t. This gives the important result,. We define a 4-vector momentum as,. This gives the following:.

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strings of ideas: 05/01/2014 - 06/01/2014

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Monday, May 12, 2014. Consider a normalized wavefunction ψ,. Is the amplitude of ψ. Is the amplitude of ψ. Given the rules of QM, the probability of measuring ψ. See equations 23 and 28 in The Essential Quantum Mechanics. The notion is that we started with ψ initially, then after measuring ψ. 3) for t± → ±∞,. Equation 64 in EQFT. ℏ)is the time evolution operator. Equation 57 in EQFT. However there is an elapsed time T between the measurements of the initial state ψ. And the final state ψ. So we write,.

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strings of ideas: 07/01/2014 - 08/01/2014

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Monday, July 14, 2014. Quantum Vacuum Fluctuations - The Basics. Consider a scalar field in flat spacetime (equation 37 in The Essential Quantum Field Theory. We define the quantum fluctuations as,. Substitute 1 into 2,. Field values cannot be measured at a point - in a realistic experiment, only their values averaged over a finite region of space can be measured. Consider the average value of a field Φ( x. In a cubed-shape region of volume L. For k = L. Using equation 1, we get,. We see that δΦ. Given a...

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strings of ideas: 06/01/2014 - 07/01/2014

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Tuesday, June 17, 2014. Quantum Fields in Curved Space-Time. See equation 10 in The Essential General Relativity. 2) Define the conformal time dη(t) ≡ dt/a(t). Substitute into 1, we get,. Borrowing equations 12,13 in The Essential Quantum Field Theory. 5) ℒ = ½ η. Φ − ½ m. The corresponding action is,. 7) S = ½∫d. Φ − m. To generalize this action to the case of a curved spacetime, we need to,. With the metric g. In the conformal time η, g. 9) Instead of the usual volume d. X (≡ d. The action (7) becomes,.

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strings of ideas: The Cyclic Theory

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Wednesday, November 02, 2005. In 2003 Steinhardt from Princeton and Turok from Cambridge published their landmark paper on what will be the next paradigm: the cyclic theory. Here are its salient features:. Space and time exist forever. The big bang is not the beginning of time; rather, it is a bridge to a pre-existing contracting era. The temperature and density of the universe do not become infinite at any point in the cycle; indeed, they never exceed a finite bound (about a trillion trillions degrees).

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strings of ideas: 11/01/2014 - 12/01/2014

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Wednesday, November 19, 2014. Another argument against the BBT. In The Equivalence Principle and the Big Bang Theory. According to an observer in our galaxy, he sees every other galaxy moving away. (Black Arrows). However, an observer from another galaxy, say the blue one, sees the other galaxies moving away but in different directions than what we see (Blue Arrows). The last remaining argument in favor of the BBT is the Cosmic Microwave Background (CMB). It has been said that only a Hot Big Bang sce...

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strings of ideas: 10/01/2014 - 11/01/2014

http://soi.blogspot.com/2014_10_01_archive.html

Tuesday, October 28, 2014. Riemannian Geometry and the Big Bang Theory. Actually it was Gauss who proposed how to describe the inhabitants on a sphere as if they were unaware of the third dimension. Of course, they would need only two coordinates, why it’s called a 2-sphere. Here’s an example with spherical coordinates φ and θ:. The question is: is the BBT really the final word on this? Does the fourth spatial Riemannian dimension really exist? Subscribe to: Posts (Atom). The Collapse of the Wave Function.