The speed of light (magnitude) in gravitational field again, touchy and feely:
In this chapter, piggy has a try to analyze the problem about the speed of light (magnitude) in gravitational field again with methods of the new era of PRESENCE – PROPERTY.
1. Start the analysis from the angle of inertial frames:
As illustrated in the chapter “The integrity of space – time, touchy and feely” ahead,
Touchy: c is light speed, γ is the frequency of light, λ is the wave length of light. Then: c = γλ
Feely: as piggy said ahead, the frequency reflects time. And wave length reflects 3D space. So, actually, the equation c = γλ above reflects the integrity of space – time. Space and time are not entirely independent variables but mutually affected.
Transform the above equation: γ = c / λ
Because light speed c is a constant, then: γ ∝ 1 / λ
Replace variables: △t ∝ 1 / L
This could be called the Space – Time equation. Piggy employed such special format to highlight the “inverse proportion relationship” between space L and time△t (criterion of time or say unit time). If space L contracts, then, time △t inflates; if space L inflates, then, time△t deflates.
Next, watch it in another relatively moving inertial frame: c’ = γ’λ’. If the speed of light (magnitude) c’ changes, we can’t guarantee the strict establishment of the “inverse proportion relationship” γ’ ∝ 1 / λ’, namely, △t’ ∝ 1 / L’ in math. Among γ’ and λ’ ,or say, △t’ and L’, one might be a constant. Then, such odd situation might appear: If space L’ contracts, time △t’ doesn’t inflate; if space L’ inflates, then, time△t’ doesn’t deflate.
But one of the basic principles of SR is "physics rule is equivalent" in different inertial frames. It’s a problem.
Now in the new era of PRESENCE – PROPERTY, we can analyze it from another angle.
Piggy considers “integrity of space – time” which reflected by the equation △t ∝ 1 / L is a fundamental natural relation, which is the affair of thefundamental PRESENCE – PROPERTY natural system.
Such fundamental natural relation is inherent property of matter and the most basic natural rule and should not change following movement. It’s the affair in the fundamental PRESENCE – PROPERTY natural system. It’s also a problem here.
So, theoretically, the speed of light (magnitude) c’ must not change, namely, c’ = c.
This point has been verified by experiment. Relevant material of the experiment can be found in textbook. A moving meson decayed and released a photon, the devices detected the speed of light (magnitude) didn’t change.
2. From the angle of non - inertial frame (situation of acceleration):
Take a look at that “authentic” rabbit Dandan’s humble opinion first.
https://physicshelpforum.com/threads/general-vs-special.16046/post-49357
Now in the new era of PRESENCE – PROPERTY, we can analyze it from another angle.
Piggy considers “integrity of space – time” which reflected by the “inverse proportion relationship” △t ∝ 1 / L is a fundamental natural relation, which is the affair of the fundamentalPRESENCE – PROPERTY natural system.
Such fundamental natural relation is inherent property of matter and the most basic natural rule and should not change following movement (including situation of acceleration). It’s the affair in the fundamentalPRESENCE – PROPERTY natural system.
The “inverse proportion relationship” △t’ ∝ 1 / L’ should establish in situation of acceleration.
So, according to the analysis in item 1, theoretically, the speed of light (magnitude) c’ must not change, namely, c’ = c.
3. The situation of gravitational field:
According to Einstein’s idea of “gravity is equivalent to acceleration in effect” and the analysis it item 2, the speed of light (magnitude) should not change in gravitational field.
Now in the new era of PRESENCE – PROPERTY, we can analyze it from another angle.
Piggy considers “integrity of space – time” which reflected by the “inverse proportion relationship” △t ∝ 1 / L is a fundamental natural relation, which is the affair of the fundamentalPRESENCE – PROPERTY natural system.
Such fundamental natural relation is inherent property of matter and the most basic natural rule and should not change following interaction. It’s the affair in the fundamentalPRESENCE – PROPERTY natural system.
The “inverse proportion relationship” △t’ ∝ 1 / L’ should establish in situation of gravitational field.
So, according to the analysis in item 1, theoretically, the speed of light (magnitude) c’ must not change in gravitational field, namely, c’ = c.
Additional analysis:
Velocity vs space – time, touchy and feely:
Actually, the velocity of light (c = γλ) is in the supreme position and in CONTROL of space – time (frequency γ reflects time while wavelength λ reflects space). It is not subjected to the CONTROL of space – time. The conception of velocity is based on space – time, no matter in the dynamic situation or in the gravitational situation. But the velocity of light c is not subjected to the CONTROL of them. So, the velocity of light c is a frame invariable and does not change in gravitational field.
But the velocity of a small stone is essentially not the same case as that of the light. It is not capable to CONTROL of space – time. The conception of velocity is based on space – time, no matter in the dynamic situation or in the gravitational situation. So, the velocity of a small stone is subjected to the CONTROL of space – time. Then, the velocity of a small stone is a frame variable according to the traditional Lorentz transformation in SR, and it will change in gravitational field after you open your hand.
Actually, “the speed of light (magnitude) doesn’t change” is a standard / legislation in “authentic” scientific community. Take a look at physicsquest’s comment in PHF:
https://physicshelpforum.com/threads/general-vs-special.16046/post-49565
Liqiang Chen
陈力强
April 20, 2022
Now piggy doubts whether the pig head understands physics or not as the what coffin box from what CN said in PHF in 2020:
https://physicshelpforum.com/threads/the-game-of-match-sticks.16181/post-50090
In fact, shortly after piggy left PHF in 2020, a local guy stopped piggy on the street and insisted he had a physics question to ask me. Piggy just replied to that guy: “I know nothing about physics”. Bounce…
给他江门地方黑恶势力钟永康集团一个超文革赛阎王光荣称号快快全世界全宇宙打靶啦。当今时代,全世界没有什么人能够值得如此殊荣。呵呵