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# How to understand the energy - momentum equation in a natural way

htam9876

1
Thu 24 Dec, 2020 06:48 pm
Okay, guys who are willing to touch the elephant in an alternative way go ahead with piggy.

The continued topic of the mass – space equation:
The derivation of the mass – space equation L ∝ 1/M from macroscopic angle could be seen in the thread “cosmos vs us”. Hereby, we derive it from microscopic angle.

First, there is a question, why the energy equation for a released photon is E = hγ in Quantum theory and need not to take the number of crests (n of λ, here n is a natural number) into account?
In X4 physical model, a released photon is just a section of electromagnetic wave, its energy E should ∝the number of crests (n of λ).
It implies that all released photons have the same number of crests (n of λ)? Temporarily suppose it is and see what will happen.
Next, we refer to the simplified physical model (circle kind standing wave). Unfold the standing wave, it turns into two released photons (for simplicity sake, just consider that it’s one released photon).

We watch the game in counter way, it’s one released photon turn into a standing wave.
And we got: standing wave which constitute all kinds of elementary particles have the same number of crests (note: nt of λt, when referring to travelling waves; and ns of λs, when referring to standing waves. The lower index “t” means travelling wave while “s” means standing wave in this context).

Next, we try to use the X4 physical model for elementary particle and the temporary conclusion of same number of crests in this chapter to calculate the radius of elementary particle.
Below, we calculate the central line of the helical track of layer instead of the helical track itself because the speed of light should be calculated on the central line. And the wavelengthλt should be the projective wavelength on the central line.
E = Mc² = 2hγt = 2hc / λt then:
λt = 2h / Mc then:
The radius of elementary particle is:
r = ntλt / 2π = nth /πcM
Because nt, h, π, c are all constants, we use a constant “a” for simplicity and a = nth/πc, then:
r = a/M
Namely, r ∝1/M. In fact, it’s the same meaning as L ∝ 1/ M ahead.
The existence of the mass – space equation does not depend on reference frame / movement / SR.

Liqiang Chen

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htam9876

1
Thu 24 Dec, 2020 06:50 pm
This post is a bit odd.
First, piggy invites guys to take a look at the what coffin box from what CN said in piggy’s thread in PHF.

But if you are a guy who believes in the philosophy of touching the elephant, then please go ahead with piggy.
………………………………………………….
The Space – Frequency Equation:
Because r = ntλt / 2π, λt = c / γt, then: r = ntc /γt2π
Because nt, c, 2π are all constants, r ∝ 1 / γt, or γt∝ 1 / r
In general words, r ∝ 1 / γ, or γ ∝ 1 / r
This could be called the Space – Frequency Equation.
………………………….
Primary unified conception of energy:
First, Piggy has to move some relevant stuff here:
“As I illustrate ahead, “due to the existence of mass (or say gravity), the three dimension physical space is uneven.” The contraction or say in counter way the inflation of the three dimension physical space reflects the gravitational potential. The inflation of the three dimension physical space reflects the increase of gravitational potential.
At this moment, I pull in another thing, the mass- space equation to join in the fun: M ∝ 1 / L’ (note: I am habitual to use upper case letters in this equation because the lower case of L looks like a “1”) illustrates that the contraction or say in counter way the inflation of the three dimension physical space reflects the dynamic mass, in turn, reflects the kinematic energy Ek = mc² - m0c². The inflation of the three dimension physical space reflects the decrease of the kinematic energy.
For example, if you throw a ball from the ground to the top of the Pizza Tower, the inflation of the three dimension physical space (the relativistic size of the ball) reflects both the increase of gravitational potential and the decrease of the kinematic energy. That’s why the energy conserves (︱△U ︱= ︱△Ek︱ ).”

Actually, according to the space – frequency equation, the contraction or say in counter way the inflation of the three dimension physical space also reflects the internal energy.
For example, if you throw an elementary particle from the ground to the top of the Pizza Tower, the inflation of the three dimension physical space (the relativistic size of the elementary particle r) reflects the increase of gravitational potential, the decrease of the kinematic energy as well as the decrease of the internal energy. (︱△U ︱= ︱△Ek︱= h︱△γ︱ ).
Namely, the essence of the change of the gravitational potential and the kinematic energy of the elementary particle could be considered as the change of the internal energy, in turn, the change of the frequency of circle kind standing wave. (Note: this principle is also applicable to the released photon.)
Assume a free elementary particle stations in the infinite remote point from the Earth, the circle kind standing wave (simplified model) has a basic radium of “r0” and a basic frequency of “γ0”. When it approaches the Earth freely in the gravitational field, the gravitational potential decreased and the kinematic energy is generated and the internal energy increased:
︱U ︱= ︱Ek︱= h︱△γ︱
In this sense, perhaps it could be considered that the gravitational potential and the kinematic energy essentially are the change of the internal energy, in turn, the change of the frequency.
The zero point of gravitational potential defines in the infinite point is a natural choice.

And at this moment, piggy wants to talk about the problem of contraction of space in SR explicitly. The movement of an elementary particle (put aside the situation of a released photon temporarily) results in the kinematic energy (of that elementary particle). And the kinematic energy is equivalent to the increase of frequency of the circle kind standing wave (simplified model). According to the Space – Frequency Equation r ∝ 1 / γ, the contraction of space should be in all directions.

Liqiang Chen

Dec 25, 2020

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htam9876

1
Sun 27 Dec, 2020 07:36 pm
Actually, Einstein was the first guy who derived that the kinematic energy essentially is the change of the internal energy:
In Einstein’s SR, the kinematic energy Ek = mc² - m0c²,
The item mc² or m0c² is neither kinematic energy nor gravitational potential, but the internal energy.

Piggy just illustrates what’s the internal energy and how it is deposited.

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htam9876

1
Wed 17 Feb, 2021 02:16 pm
In critical juncture of history, a guy either could be the promoting force of development of history or the obstacle.
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