79: Chapter 79 Two Drafts

After a brief rest, in April of Year 37.

Work on the second internal draft began.

If the first draft was written for the tiny minority of mathematicians well-versed in partial differential equations to pick faults in, then this second draft was written purely for the Physics community to read.

It is the macroscopic Physics manual for the G-index system.

The title cuts straight to the point:

【Threshold Criterion for Fast Magnetic Reconnection under Multi-Scale Gating】

(Threshold Criterion for Fast Magnetic Reconnection under Multi-Scale Gating)

This is not a mathematics paper agonizing over how integrals converge.

What it needs to present is both a grandiose and battle-scarred physical panorama:

It must elaborate in detail on the complex definition of G-index V0.1 in terms of physical imagery.

It must clearly peel back the deep physical significance represented by each of the six parallel channels within that all-governing reconnection evolution space.

It needs to use the common language of the Physics community to deeply analyze the essential differences and entanglements among the Plasmoid Gate, Hall Gate, Turbulence Gate, Boundary Gate, and that most bizarre and grandiose Multi-Loop Gate.

It needs to reveal how the 1,800 complex samples from astronomy, space, and laboratories underwent brutal stratified statistics in a multi-dimensional parameter space.

It needs to extremely candidly list the seven boundaries of applicability that tightly lock down this system.

It needs to unreservedly showcase the counterexample set [G_Index_Attack] specifically designed for fault-finding, as well as the system's classification judgments, marginal samples, and failure cases when facing forty-two blind-test samples.

Finally, from a higher theoretical perspective, it must sort out whether this brand-new criterion has a relationship of inheritance, inclusion, or complete subversion with a series of predecessor routes, including the classic slow Sweet-Parker Model, the highly controversial Petschek fast model, the underlying Hall two-fluid image, the cutting-edge Plasmoid cascade theory, the chaotic turbulent reconnection image, and traditional tearing mode instability.

Of course, it also has to honestly explain to what extent the narrow theorem, proven with such painstaking effort in the neighboring mathematics draft, can support the foundation of this massive architecture, and what things it is fundamentally powerless to support.

The writing process of this Physics draft was far more agonizing and walking-on-thin-ice than that mathematical Physics draft filled with obscure formulas.

It was not because the formulas requiring derivation had increased.

Rather, it was because in the grand narrative of Physics, lacking the black-and-white absolute boundaries of mathematics, the writer's pen stroke could easily overstep unconsciously.

Whenever Jiang Lin tapped out seductive phrases like "under a unified framework" on the keyboard, an alarm would suddenly sound deep in his heart, and then he would furrow his brow and press the backspace key to delete them all.

Changing them to nearly defensive phrasing.

【Candidate organizational language under said applicability conditions】

Whenever he followed the inertia of logic and wrote that this criterion successfully predicted such-and-such a phenomenon, after reflecting for a few seconds, he would mercilessly delete the prophetic-sounding word "predicted".

Changing it to: "Posterior classification judgment within the applicability range of the validation set."

Whenever he excitedly wrote in his concluding remarks that the completion of the narrow theorem thoroughly proved the physical validity of the G-index system, he would give a wry smile, shake his head, and completely delete that arrogant sentence.

Changing it to a dry sentence.

"The preliminary results of the narrow theorem merely provide an underlying mathematical deductive support under an extremely narrow model for the independent Plasmoid threshold in the G-index system."

Never overstepping, never exaggerating, never blowing one part of evidence into ten parts of truth.

At the end of June in Year 37.

When the Wasteland once again ushered in a scorching summer, the second internal draft was finally finalized with great difficulty.

The main text content: 58 pages.

The appendix containing various statistical charts, sample lists, and counterexample analyses: 22 pages.

Total: 80 pages.

On the title page, the status bar was similarly not a heart-pounding "completed and finalized, awaiting publication."

But rather as cold and objective as copy-and-paste.

"Current status: Internal draft v1, awaiting review by peers in the Real World."

June 28 of Year 37.

These two internal drafts that had drained half of Jiang Lin's lifelong efforts finally transformed into two sizeable PDF files on the workstation's hard drive.

The mathematical Physics draft was as thick as 328 pages.

The physical framework draft was a concise 80 pages.

Totaling 408 pages.

Counting from the 13th year when he plunged headfirst in despair into the massive and chaotic raw paper database deep within the Stone House.

All the way to today, the end of June in Year 37, when the drafts were finally fully completed.

A full 24 years.

This was a long period of time that, if spoken of in the Real World, would be enough to make any utilitarian researcher feel suffocated.

In these 24 years, he was like a marmot silently digging underground.

Carefully reading word by word, skimming, extracting indices, and digesting a total of over 8,200 cutting-edge literature pieces.

Starting from scratch, he agonizingly completed numerical partial differential equations, singular perturbation theory, and those Sobolev spaces and energy functional methods that had once caused him excruciating agony.

Acting like someone with obsessive-compulsive disorder, he established an extremely perverted numerical health check checklist for MHD simulation programs.

He walked out of the Stone House, braved the sand and dust on the Wasteland, and field-surveyed to discover the circular remanent magnetic network hidden within the huge substation ruins (RECON-VC-01).

Dragging his 53-year-old body far away to the northwest, he found that massive metal object suspected to be a tidal wave monitoring device (GIANT-NW-01).

In this endless solitude, like molding mud, he kneaded out bit by bit the all-encompassing preliminary draft of the physical framework for G-index V0.1.

Using the most ruthless methods, he found a bunch of counterexample applicability boundaries that could slap his own theory to death on the beach.

Using statistics, he forcefully smashed out the empirical gating inflection point hidden in the sea of data.

Finally, sitting idly at his desk for months, he bit through inch by inch the mathematical derivation of the extremely convergent Plasmoid gating threshold under the narrow model.

Ultimately, all this struggle and sweat collapsed into the 408 pages of internal drafts before him.

Even if this was not the end of that grand magnetic reconnection Physics problem, and could not even be counted as the end of the G-index system he himself proposed.

But after all, this was the theoretical foundation that had already been laid.

Jiang Lin saved these 408 pages of internal drafts, backing them up on the hard drive, USB flash drive, and mobile phone.

Then he reached out and pressed the workstation's power switch.

"Beep—"

The screen went dark, and the roar of the host computer that had lasted for many years slowly returned to peace.

He did not leave his stool, just sitting quietly there.

His heart gave birth to a buzzing tranquility generated deep within the brain after experiencing extreme clamor and mental overdraft.

Only the wind turbine no. 2 outside, which seemed as though it would never stop, was still rotating unhurriedly on the tower frame.

Observation Point A and Observation Point B, far away two kilometers out, were still like two loyal sentries, flickering weak indicator lights on the Wasteland and silently recording a bunch of environmental data that might forever be meaningless.

The entire Outpost was like a massive engineering system that had been carefully tuned and operated for decades by him, its sole maintainer.

Even if he did nothing now, it still relied on strong inertia to barely maintain a certain order on this Wasteland.

The time was June 28 of Year 37.

What should be done next?

Jiang Lin actually did not have an extremely clear schedule in his mind yet.

Reopen the computer and, like someone with obsessive-compulsive disorder, continue to meticulously revise the draft wording that had already been modified countless times?

Start the simulator to maliciously supplement and enrich the G-index counterexample set specifically designed to overthrow his own theory?

Take out paper and pen, put together the magnetic field topologies on the two ruin corpses of the substation (RECON-VC-01) and the northwest giant object (GIANT-NW-01), and carry out some crazy renormalization analysis?

Or perhaps, he would study nothing at all.

Just like a true wilderness old man, returning to the most basic Outpost routine maintenance, patching things up, and keeping all systems and databases here in the most stable state possible before his mortal shell withered and departed.

Perhaps he would do a little bit of all the above things piecemeal.

But tonight, right at this moment, he didn't want to do anything.

Tonight, he just wanted to sit here as a pure living creature.

Not thinking about anything, not calculating anything.

The evening of June 28, Year 37.

The huge and bleak sun sank extremely slowly from the Wasteland horizon in the northwest direction.

In the final minutes of sunset, the last ray of lingering light passed through the Stone House's not-so-spacious window lattice and fell upon the ground.

Bathed in this soft reflected light, Jiang Lin watched for a very, very long time.

Watching that layer of faint golden light, Jiang Lin's thoughts, as if guided by some force, suddenly flew across the long river of time, returning to 12 years ago.

When he was still young.

Having just closed the final page of Temam's brick-thick mathematics fluid mechanics treatise in despair.

At that time, he actually had no idea why he had to stubbornly bash his head against completing those excruciatingly dry Sobolev space theories and abstract energy methods.

Those mathematical tools were too cold, too abstract, and even once made him wonder if he had gone mad and completely deviated from the course of Physics research.

But at that time, he only had a beast-like intuition in his heart.

On this Plasmoid magnetic reconnection route full of thorns and dead ends, sooner or later, when he faced those non-linear terms collapsing like a mudslide, he would definitely need these heavy mathematical tools capable of locking down spatial gradients tightly.

So, gritting his teeth, he made up for it.

On those cold nights when temperatures dropped below minus twenty degrees, his frostbitten hands were still deriving inequalities on rough draft paper line by line—inequalities whose utility he didn't even know.

That choice 12 years ago did not bring him any immediate gains at the time.

No eye-catching papers were published, no substantial results capable of changing the world were derived, and not even a single character of positive feedback was received from the outside world.

Throughout the long 12 years, all his efforts simply transformed into a dust-covered folder in an inconspicuous corner of the workstation's hard drive.

"Sobolev_Energy_Methods"

And now, 12 years had passed.

That seed he personally planted on a bitterly cold winter night, not even knowing if it could survive, not only sprouted but grew into a towering tree.

The corner of Jiang Lin's eye twitched slightly.

This was probably the most generous reward a person could receive by adhering to long-termism in this Wasteland over long years.

Jiang Lin supported himself by the edge of the table and slowly stood up.

His 55-year-old knees made a slight dull sound in the chill.

He did not turn on the workstation again.

Nor did he open any other books.

Nor did he make another task list for himself.

The matters that should be completed in this round were already completed.

What remained did not belong to the Wasteland.

In the Real World.