User:Lemmiwinks2
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My views:
Eventualism[1]
Mild authorism
Sysopism
Dabbler[2]
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BTW, I am in the pacific time zone
Editting
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relativity
φ = artanh(v/c)
φ = arcosh(γ)
γ = cosh(φ)
γ = 1/√1-v/c
v/c = 1-1/γ2
v/c = tanh(φ)
event (x,t) becomes (x-vt,t-vx/c²)
if two clocks are synchronized and a distance L apart in their own rest frame, then in a frame where they are moving at speed v parallel to the axis between them, the clock in the rear will show a time that's ahead of the clock at the front by vL/c^2
It is really convenient to use a spaceship with v=0.6c so that gamma is 1.25.
relativistic rocket:
four-vector acceleration along its worldline must have constant magnitude. Alternatively, the rapidity r of the object must be increasing at a constant rate a with respect to the proper time of the object T. The rapidity is related to velocity v by the equation v = c tanh(r/c). From this we derive the equation v = c tanh(aT/c).
Origin of the de Broglie wavelength
- If you combine the E=mc2 and the E=hf equations (where f is frequency), you arrive at the Compton frequency. de Broglie's conjecture was that the Compton frequency reflected, in the case of the electron (quarks were not yet discovered), some kind of fundamental intrinsic oscillation or circulation of charge associated with the electron... One can easily show that if the electron really does oscillate at the Compton frequency in its own rest frame, when you view the electron from a moving frame a beat frequency becomes superimposed on this oscillation due to a Doppler shift. It turns out that this beat frequency proves to be exactly the de Broglie wavelength of a moving electron.
Geometric Algebra
website is down at the moment
References