안녕하세요. 부탁드리고 싶은 것이 있어 이렇게 글을 남깁니다. 예전에 물2갤발 '암흑장론’이라는 가설이 있었습니다. 물론 이는 적분 과정에서 오류가 확인됐고, 논리적 점프가 있어 이미 관심이 식은 가설입니다.


https://m.dcinside.com/board/thesingularity/561888?headid=20&recommend=1


혹시 Grok-4 Heavy와 같은 고성능 추론 모델이 이 가설의 오류를 검출해낼 수 있을지, 또 현존 최강 수준의 추론 모델인 grok4 heavy가 이를 어떻게 분석하고 판별할 수 있을지 매우 궁금합니다.


Grok-4 Heavy는 가격이 상당히 높은 편이라 직접 사용해보기가 쉽지 않아, 도움을 구하게 되었습니다. 아래 글을 복붙해주시면 끝입니다. 부탁드리며, 깊이 감사드립니다.


익명이, 지식의 선구자에게.





Grok4-heavy must determine whether the following hypothesis is true or false and provide reasons for its conclusion. 


Space expansion force: Proof that Hubble's law is derived through electromagnetic analogy of gravity

We vaguely believe that dark energy expands space, but we still do not know the mechanism by which this expansion works.

Assuming that gravitational attraction and space expansion are mutually inductive, just as electricity and magnetism induce each other, Hubble's law, which expresses the expansion of the universe in an observational manner, is derived from this.

Taking hints from the matching structure of Newton's law and Coulomb's law and de Broglie's material wave,

Assuming that the gravitational field and space field are similar to the relationship between electric and magnetic fields,

g≈d

E≈B

A physically corresponding relationship appears.

If the field caused by dark energy is called a dark field,

Mass m: Charge q

Gravitational field g: Electric field E

Dark field d: magnetic field B

Dark Field "d" is a vector field, so if it corresponds to the Hubble constant H, which is a scalar value, |d|=H

The exact formula and calculation will be explained later, and only the main points will be briefly explained.

Universal gravitation F=mg (F=GMm/r², g=GM/r²)

Electric force F=qE (F=kQq/r², E=kQ/r²)

Expansion force F=mvH

Magnetic force F=qvB

ma=Hmv force=expansion force eliminates mass m

(F=dp/dt=ma+vdm/dt, the latter part is described later)

a=Hv If we integrate over time t, we get

v=Hs

Hubble's law is derived.

In other words, the expansion force formula corresponding to the magnetic force F=qv×B is

F=mv×d, and if replaced by momentum p=mv,

It can be expressed as F=p×d.

Just as electricity and magnetism have attractive and repulsive forces,

In an equation built on the assumption that the repulsive force corresponding to universal "gravity" has a similar relationship to the electromagnetic force,

It is no coincidence that Hubble's law, which explains the expansion of space, was derived.

To explain the direction of space expansion,

In outer space, the gravitational forces of countless celestial bodies act in all directions, so it is believed that space expands in all directions.

Therefore, the relationship between the distance to a galaxy and its recession speed can be approximated by a linear function.

The phenomenon of mass expanding space: Big Bang & Void

A phenomenon in which a space causes mass to move: the rotation of a galaxy

[Stabilization of orbital angular speed]

To further explain the calculation of the formula (the dark field is expressed in capital letters to distinguish it from the differential operator)

F=dp/dt=ma+vdm/dt=mv×D

a+(v/m)dm/dt=v×D

∫(a+(v/m)dm/dt)dt=∫v×Ddt

∫adt+∫(v/m)dm=s×D-∫(s×dD/dt)dt

∴ v=s×D-∫(v/m)dm-∫s×dD

When there is no change in mass of a celestial body per hour

at vdm/dt=0

Additional term 1: ∫(v/m)dm=0

Additional term 2: ∫(s×dD/dt)dt is assumed to be the error of the Hubble-Lemaître law, which is an approximation.

Also, since d is a vector value, to correspond to the Hubble constant, which is a scalar value, the absolute value must be expressed as |d|=H(t).

Since the current value of the Hubble parameter H(T) is a constant, the additional term 2 becomes 0.

Therefore, v=Hs can be derived from v=s×d.

If expansion acts in an outward direction, space can grow regardless of collisions, so the Big Bang and the Void can be explained simultaneously.

If gravity induces expansion, like electromagnetic induction, and induced spatial changes induce gravity, it can also explain the rotational angular velocity problems of dark matter and galaxies, where only gravity is observed without mass.

Additionally, since the enormous force that permeates the universe is gravity, it is reasonable to assume that the dark energy that expands space is closely related to gravity.

In fact, this force has been identified under the name gravitational magnetism.

However, whether this is involved in space expansion has not yet been revealed, let alone mentioned in academic circles.

So many difficult problems are explained by the equation F=p×d.