Correction to length contraction equation

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The discussion centers on the implications of a proposed modification to the mass and length equations of an electron in the context of special relativity. The introduction of a "small constant" aims to prevent mass from becoming infinite as velocity approaches the speed of light, suggesting that electrons could have a finite radius rather than being point-like. Critics argue that this approach neglects quantum mechanics and lacks empirical support, while proponents believe it could lead to a more complete theory that avoids singularities. The conversation also touches on the potential effects of this modification on spacetime metrics and the behavior of particles near black holes. Overall, the proposal seeks to reconcile existing theories with new insights while challenging traditional views on mass and speed in relativistic physics.
  • #31
What, as compared to how well we know what the electromagnetic and gravitational forces really are? You'll have to convince me that question has any meaning before we go near it.

However, I do think we can talk about what Qa (I'll use for Einstein's CC) is not. It isn't a force that keeps the universe carefully balanced such that it doesen't collapse on itself. In fact, the universe is expanding and even without any Qa it would never collapse. Einstein was completely presumptive and off base, regardless of what system ends up being used to represent the 70% of our universe that dark energy makes up. His theory was carefully crafted to predict not a piece of data, but an idea; that the universe was unchanging. He was more than happy to toss the idea. Quintessence, though having some similarities, is not a revival.

You've gotten the idea of a theory mixed up with a hypothesis and let that drag the conversation far away from where you originally intended it, all in an effort to prop up an idea that you can't seem to give a practical validation. Stop comparing yourself with Einstein and just rely on the fact (as he did) that if your idea predicts past and future results more accurately than any other, it will have to be adopted. In my opinion, your theory fails that test, but I'll be happy to be wrong if time proves otherwise.
 
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  • #32
Locrian:
In my opinion, your theory fails that test, but I'll be happy to be wrong if time proves otherwise.

Kurious:
What are the details of your opinion - why does my theory fail?
 
  • #33
According to standard relativity theory the maximum angular momentum of a black hole is given by: GM^2 / c

For a black hole of a few solar masses this amounts to 10^41
In my theory 10^57 neutrons spin at a maximum average speed of 10^8 m/s at a maximum distance of 10^-15 metres.The neutrons in my theory will have a mass
that is about 10^19 x rest mass ( 1 / small constant = 10^19) i.e 10^19 x 10^-27 = 10^-8 kg/neutron.
Using the classical formula angular momentum = mass x velocity x radius
we get my prediction of the maximum angular momentum of the black hole.
This is: 10^57 (number of neutrons) x 10^-8 x 10^8 x 10^ -15 = 10^42

This is close to general relativity's prediction of 10^41

Bringing quantum mechanics into the picture we could use the Bohr relation for atomic hydrogen mvr = nh/2pi to quantize the angular momentum of
a series of concentric rings that could account for the angular momentum of the black hole:
nh/2pi = mvr
for one neutron spinning in a circle at the speed of light (neutron closest to singularity where m = m0/( 1 - c^2/c^2 + 10^-38)^1/2 )
m =10^19 x 10^-27,v = 10^8 m/s
nh/2pi = mvr =10^19 x 10^-27 x 10^8 x r
r = 10^-34 metres which is what we would expect given that the use of the small constant in (1 - v^2/c^2 + small constant) ^1/2 enabled us to predict that a neutron of diameter 10^-15 m (at rest) would length contract to 10^-34 metres at the speed of light.
 
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  • #34
This calculation might now enable us to conclude something about the entropy of a black hole.
 
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  • #35
Can someone put a numerical value on the entropy of a black hole of five solar masses.It will give me an idea as to whether or not my calculation is accurate.

Kurious:
Thanks to jcsd in the relativity forum.
The entropy is about 10^55 J K^-1.

I'm going to use S = k ln omega where k = Boltzmann's constant
and omega = multiplicity of states.
And I'm assuming that there are intact neutrons in the black hole.
The neutrons are rotating on the surface of spherical shells.
There are 10^19 shells each of diameter 10^-34 metres (this gives the total
radius of the matter in a sphere in my version of a black hole of 10^-15 metres) and rotating at the speed of light in a clockwise or anticlockwise direction.
On the surface of the outermost ten shells (which contain most of the neutrons) neutrons can be spinning in one of about 10^19 concentric rings
(each shell has 10^19 rings giving 10^19 x 10^-34 = 10^15 metres again) at the speed of light ( this speed is allowable according to my theory) clockwise or anticlockwise.
Each neutron can be either spin +1/2 or spin - 1/2.
 
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  • #36
What would the temperature of the matter (10^30kg - 10^57 quarks each orbiting at 10^8 m/s ) concentrated in the spherical region (10^-45 m^3) of my black hole model be?
Using a classical calculation I would say about 10^81 K.
This means that all the forces of nature would be expected to be unified
(unification temperature is 10^32 K).
 
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