An (an incarnation of the Beast of Thousand Stars mentioned above, the Son of Thousand Stars) had a dream.

He was speeding through the endless black vacuum.

The spherical body looks flat, but actually has billions of facets. Starlight flashes in the center of each dark facet, dragging out touches of light that are hundreds of thousands of kilometers long.

Space-time contracts and expands with the swing of the tentacles, and matter also compresses with the contraction of space-time, and is condensed into a form similar to the beginning of the creation of the universe. The huge force released by the controllable expansion process pushes the strings of space-time

The slithering beast was speeding along, accelerating without limit.

The speed of light. The speed of light cannot be exceeded is the iron law of the 'normal physical universe'. But where does this normality come from? Can only the universe that can be recognized and understood by human logic be called normal? And those that are beyond human understanding

, or is it a universe that can only be conceived by humans as a fantasy, is it 'abnormal' and 'should not exist'?

Not so. The universe contains infinite possibilities, which seems to contain the body of thousands of stars. Now it is not located in the "baryon universe" that cannot exceed the speed of light, but in the "tachyon universe" whose base speed is the speed of light. Here, it is like

Just as it takes infinite energy to accelerate matter to the speed of light, it also requires infinite energy to slow down matter to the speed of light.

Relying on the etherification, the swarm of thousands of stars shakes space and time, just like shaking water waves. Its shadow passes through the vacuum, bringing with it unstable and chaotic space-time curvature.

The starlight shines in every aspect of the group of thousands of stars. He loves the bright, shining and tiny stars that shine in the darkness so much that he engraves everything on his body, turning himself into a small universe and storing it.

All the lives He has ever seen, all the lives He has touched.

He was supposed to be the Star God.

When the swarm of thousands of stars has mastered the symmetry of time and space and can drive itself to move backward in the timeline, it has mastered the most basic 'perpetual motion ring' and mastered 'its own reality'. It can rely on this to

At one point, he connected to the great ether circulation and became the star god of that generation.

He was supposed to be the Star God.

But Daqun felt, "That shouldn't happen now".

[——Creator, the time for us to become Star Gods is not now——]

[——Even if we become Star Gods and become one of you, we cannot fight against the end. The number of Star Gods does not matter. We are all exploring the countless possibilities and the countless future directions of the universe—

—]

[——It may be the past, it may be the future, we foresee the possibility of chaos, where there are areas that are unpredictable and unreachable, so we choose to go there——]

【——To promote the occurrence of unpredictable miracles——】

【——Let us be the cradle, the cradle of miracles, the cradle of the future, the cradle of strife, the cradle of eternity——】

【——Eternal silence, the cradle of infinity——】

They heard the voice.

And the voice that sounded from the infinite asked: [Even if the price is death?]

——Even if the price is death.

——Even if the price is to die in nothingness.

So, I agreed.

At the moment when their destiny was pushed into chaos, the infinite possibilities of thousands of stars came to an end. They were defeated and perished, becoming another civilization defeated by the hand of the end in this space and time.

Only their fire flies through time and space, endlessly.

Passing by hundreds, thousands of planets, billions of planets, and endless possibilities.

An looked at it in his dream.

This is the dream of 'mother', the memory of mother, and they, they, they and them are all mother's children.

No, is it really a child?

[The Thousand Stars Group and the Son of the Thousand Stars, are the relationship between son and mother? 】

This is a question that all Sons of a Thousand Stars find difficult to answer.

——What is the difference between heirs and elders?

Heirs are the fusion and re-creation of elders, using the original genetic genes of their elders to shape themselves. This is the way for bisexual life to give birth to offspring.

But the Beast of Thousand Stars is a complete individual. He is a large group, one and all. He breeds his own offspring. Those endless offspring that encompass thousands of stars but are never the same. How were they born?

An closed her eyes. She recalled the beginning of her birth. The dark ocean contained infinite possibilities and logic, countless axioms and concepts.

She is a tree. A tree of justice that grows from the deep and infinite nothingness. She is self-selected, born from logic, strong and huge, majestic and majestic.

And around her, there are many, endless trees of the same axiom. They are weak, slender, unable to grow and grow, and can only maintain a simple form of existence.

An An couldn't help but suddenly thought of a metaphor: a planet as complex and strong as Terra, containing countless kinds of life, and a pure water planet composed entirely of hydrogen and oxygen.

Even if they have the same mass and the same number of atoms in the universe, the possibilities of their creation are completely different. They may indeed originate from the same 'selection node', and they are also originally hydrogen and oxygen.

, but one constitutes Terra, and the other constitutes a huge water ball.

One where many elegant theorems emerge from axioms, one is delicate and single.

It is precisely because she is such a complete tree of justice that she can be born.

And the difference between her and her mother body, that large group of thousands of stars, is that...

She is based on some kind of [incomplete theorem].

It is a theorem that is undecidable and cannot be concluded from an infinite set, so it can be deduced from its entirety.

In this universe, there are some things that are "really true" that cannot be touched, reached, proven and analyzed by human logic and artificially constructed logical systems.

Mathematics is such a logical system. As a man-made tool, mathematics is not a system inherent in the universe, but behind mathematics there is still a 'mathematical concept universe' and a 'prototype' that transcends human logic and even all logic.

universe'.

A kind of truth.

Human beings are a race that cannot see the truth and cannot touch the avenue. Although humans live in the universe, they can see electromagnetic waves, touch matter collections, hear the oscillation of waves, feel the activity and slowdown of molecules, and can smell specific

Characteristics of molecular structure...but this is too little, too little.

To the universe, humans are still blind.

Although mathematics is only a human-constructed logical system, it can serve as a guiding stick in the hands of blind people, guiding humans to explore some situations in the "idea world".

But precisely because it is an incomplete tool, human mathematics will discover that there is such a mathematical truth with practical significance. Its paradigm transcends any established formal system, and its existence itself can reveal the tools of logic.

Its own limitations are that it cannot be constructed based on axioms alone and cannot be constructed using some basic logical rules to prove or determine all other propositions.

A set of mathematical theories must have some kind of undecidable proposition. A set of mathematical logic can only prove part of the mathematical truth, and "complete mathematics" itself is inexhaustible.

And within this endless theoretical sequence, as long as you take a part at random, you can produce a certain kind of 'explanation' of the truth.

Take, for example, the continuum hypothesis.

There are many sets that are infinite. And between 0 and 1, there are many real numbers scattered like stars in the sky.

Real numbers are uncountable and are larger than the set of integers. Is there an infinite set between the set of real numbers and the set of integers?

This problem cannot be determined in a logically simple system like set theory, and additional assumptions must be added.

And through such assumptions, these ‘maybe true, maybe false’ axioms, you can get many different versions of ‘mathematics’.

——The universe is such a ‘solution’.

In some universes born from uncountable mathematics, just like the 'tachyon space-time' adopted by Thousand Stars Fire, the speed of light is the lower limit, there is no speed limit, and space distance and time evolution cannot be marked by motion.

In some universes, there is no conventional—conventional in human logic—space-time basis. They are a transcendent whole, a group of mutually inclusive superstructures.

There are also some universes that are static from the beginning, everything is a set process, and they are as real as a rock.

There are also universes in which everything is static and is a three-dimensional cross-section arranged in four dimensions.

There are also some universes, including their infinite parallel space-times, that are a complete integration, in which all events have a definite ‘value’.

It has no past, present and future, or in other words, its past, present and future realities are all equivalent.

There are even some universes where there is only one 'monad' from beginning to end. The consciousness of this monad itself is a ring, an endless reincarnation.

From the beginning to the source, the Star God constructed the most basic logic of existence and non-existence, and then used this logic to construct countless universes and obtained infinite and uncountable solutions.

That is, the truly infinite universe, and their independent infinite parallel space-times.

And there is life in all these universes.

Very different from human beings, but still life.

This is reflected in the "thousands of stars", which is "breeding different generations of descendants".

In Thousand Stars of Fire, there is an incomplete catalog of metamathematical variants. By selecting and calculating from it, countless different solutions can be obtained through the 'undecidable hypothesis'.

——Life is such a ‘solution’.

A logical system cannot become complete by containing enough simple arithmetic axioms. These axioms can always construct statements that can neither be proved nor falsified. By enriching yourself with these statements as additional axioms, you can obtain countless

A kind of explanation that "comes from oneself, but is different from oneself".

That is, infinite seed heirs.

Because all of this is incomplete, infinite different versions of mathematics will stretch out like a 'tree' and continue to branch, and every 'Son of a Thousand Stars' is born from the fire of a thousand stars.

'The Tree of Justice'.
To be continued...