A Space & astronomy forum. SpaceBanter.com

Go Back   Home » SpaceBanter.com forum » Astronomy and Astrophysics » Astronomy Misc
Site Map Home Authors List Search Today's Posts Mark Forums Read Web Partners

MATHEMATICAL UNIVERSE UNLESS...



 
 
Thread Tools Display Modes
  #1  
Old February 1st 14, 09:48 PM posted to sci.astro
Pentcho Valev
external usenet poster
 
Posts: 8,078
Default MATHEMATICAL UNIVERSE UNLESS...

http://www.amazon.com/Our-Mathematic.../dp/0307599809
Our Mathematical Universe: My Quest for the Ultimate Nature of Reality, by Max Tegmark, pp. 198-199: "How Can Physical Reality Be Mathematical? Einstein can help us answer these questions. He taught us that there are two equivalent ways of thinking about our physical reality: either as a three-dimensional place called space, where things change over time, or as a four-dimensional place called spacetime that simply exists, unchanging, never created and never destroyed. These two perspectives correspond to the frog and bird perspectives on reality that we discussed in Chapter 9: the latter is the outside overview of a physicist studying its mathematical structure, like a bird surveying a landscape from high above; the former is the inside view of an observer living in this structure, like a frog living in the landscape surveyed by the bird. (...) I'm arguing that our external physical reality is a mathematical structure, which is by definition an abstract, immutable entity existing outside of space and time. This mathematical structure corresponds to the bird perspective of our reality, not the frog perspective, so it should contain spacetime, not just space. The mathematical structure contains additional elements as well, as we'll get to below, corresponding to the stuff contained in our spacetime. However, this doesn't alter its timeless nature..."

Spacetime can only make sense if the speed of light is invariable. Unfortunately (for Max Tegmark), the speed of light (relative to the observer) varies with the speed of the observer:

A light source emits a series of pulses the distance between which is d (e.g. d=300000km). A stationary observer/receiver measures the frequency of the light pulses to be f=c/d:

http://www.einstein-online.info/imag...ler_static.gif

An observer/receiver moving with speed v (let v be small so that the relativistic corrections can be ignored) towards the light source measures the frequency of the light pulses to be f'=(c+v)/d:

http://www.einstein-online.info/imag...ector_blue.gif

From the formula f=c/d one infers that the speed of the light pulses relative to the stationary observer/receiver is c. From the formula f'=(c+v)/d one infers that the speed of the light pulses relative to the moving observer/receiver is c'=c+v, in violation of special relativity.

In other words: As the observer starts moving towards the light source with speed v, the speed of the light pulses relative to him shifts from c to c'=c+v (in violation of special relativity) and, as a result, the frequency the observer measures shifts from f=c/d to f'=(c+v)/d:

http://www.youtube.com/watch?v=bg7O4rtlwEE
"Doppler effect - when an observer moves towards a stationary source. ...the velocity of the wave relative to the observer is faster than that when it is still."

As the observer starts moving away from the light source with speed v, the speed of the light pulses relative to him shifts from c to c'=c-v (in violation of special relativity) and, as a result, the frequency the observer measures shifts from f=c/d to f'=(c-v)/d:

http://www.youtube.com/watch?v=SC0Q6-xt-Xs
"Doppler effect - when an observer moves away from a stationary source. ....the velocity of the wave relative to the observer is slower than that when it is still."

http://www.einstein-online.info/spotlights/doppler
Albert Einstein Institute: "The frequency of a wave-like signal - such as sound or light - depends on the movement of the sender and of the receiver. This is known as the Doppler effect. (...) Here is an animation of the receiver moving towards the source: (...) By observing the two indicator lights, you can see for yourself that, once more, there is a blue-shift - the pulse frequency measured at the receiver is somewhat higher than the frequency with which the pulses are sent out. This time, the distances between subsequent pulses are not affected, but still there is a frequency shift: As the receiver moves towards each pulse, the time until pulse and receiver meet up is shortened. In this particular animation, which has the receiver moving towards the source at one third the speed of the pulses themselves, four pulses are received in the time it takes the source to emit three pulses."

Let "the distance between subsequent pulses" be 300000 km. Then the frequency measured by the stationary receiver is f = 1 s^(-1) and that measured by the moving receiver is f' = 4/3 s^(-1). Accordingly, the speed of the pulses relative to the moving receiver is:

c' = (4/3)c = 400000 km/s

in violation of special relativity.

The relativistic corrections change essentially nothing. The speed of the receiver is (1/3)c so gamma is 1.05. Accordingly, the corrected f' is (1.05)*(4/3) s^(-1) and the corrected c' is (1.05)*(400000) km/s. Special relativity remains violated.

Pentcho Valev
 




Thread Tools
Display Modes

Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

vB code is On
Smilies are On
[IMG] code is On
HTML code is Off
Forum Jump

Similar Threads
Thread Thread Starter Forum Replies Last Post
Mathematical Definition of Simultaneity. Koobee Wublee Astronomy Misc 0 January 20th 12 09:34 AM
Mathematical Definition of Simultaneity. Koobee Wublee Astronomy Misc 8 January 20th 12 03:31 AM
100 years and still no mathematical beauty Pentcho Valev Astronomy Misc 0 August 25th 08 08:34 AM
Mathematical proof antigravity is an allowed phenomena G=EMC^2 Glazier[_1_] Misc 1 October 31st 07 07:17 PM
Scientific & Mathematical Roots of Complexity Science Jonathan History 5 March 2nd 07 11:12 PM


All times are GMT +1. The time now is 12:58 PM.


Powered by vBulletin® Version 3.6.4
Copyright ©2000 - 2024, Jelsoft Enterprises Ltd.
Copyright ©2004-2024 SpaceBanter.com.
The comments are property of their posters.