In the closed embrace of Argentine tango, the push the leader gives is not equal to the follower's stride. Once the push crosses the cone of the shared axis, what the dancers get is not a longer step but a collapsing axis and a stumble. The effective input is always only the part that stays within the load range.

In the sexagenary model, "wealth" occupies the same position. It is not something I own. It is "what I subdue"—a relation that requires continuous output of control force to maintain. Control is not free. The greater the wealth, the higher the control cost.

The saying "a weak self cannot carry wealth" does not mean that a person deserves or does not deserve money. It says that in this chart the day master's share of energy is low, and the input amplitude has already approached or even crossed its linear range.

Translated into engineering language: wealth is the input drive, the day master is the active device, and resource and peer are the bias and current sharing. The verdict is not a judgment; it is a statement about the operating point.

System Gain and Saturation Distortion: Why the Load Limit Arrives Before the Opportunity

1. Gain and Limit Are Two Parameters

First, distinguish two quantities. Gain G is the amplification factor from input to output in the linear region; the load limit C is the maximum amplitude the device can deliver without distortion. Together they determine how large an input a system can handle faithfully.

A person can learn very fast, with no lack of gain, yet have very thin disposable time, physical stamina, and cash flow, and thus a very low limit. What fails first here is the limit, not the learning ability. "Weak self" in the fate model is closer to the latter case.

An ideal amplifier satisfies y=Gx in its linear region. A real device cannot reach infinity, and its transfer curve bends as it approaches the limit. Represent it with the simplest saturation curve:

y = C\tanh\left(\frac{Gx}{C}\right)

For small signals \tanh is approximately linear, y\approx Gx; as Gx approaches C, the curve flattens. Taking the derivative with respect to the input, the slope equals G at the origin and tends to zero in deep saturation.

Here is a distinction that is easy to slide past: beyond the knee, as the input keeps increasing, the output barely rises any further. The system has not become stronger; it has merely shut more of the input outside.

【Figure: a transfer curve transitioning from the linear region to the saturation region, with input drive on the horizontal axis and output amplitude on the vertical axis, marking at the knee the point where incremental gain begins to collapse】

"Weak self" in the fate model is often misread as poor ability or poor health. The original definition is far more sober: the day master receives insufficient support, lacks rooted qi, or is too heavily checked, drained, and consumed, so its share of energy in the whole chart is low. This describes a relative quantity, not a judgment of the person.

More crucially, there is the other side of this relative quantity. Everyone has only eight characters; when one side has more, the other has less. A weak self means the self holds less, and the external space is correspondingly larger—more external resources, but harder to exchange for. Hence what is common in a weak-self chart is not too few opportunities but wealth that is heavy relative to the self. The input amplitude is large, the device limit is small, and x/C sits close to the knee from the very start.

This is why the load limit arrives before the opportunity. The limit is set by bias and current sharing, not by the size of the opportunity. When the opportunity comes, it does not raise the limit along the way; it is only responsible for pushing x higher. The size of the opportunity is not governed by the load capacity, and the load capacity does not expand automatically because an opportunity appears.

2. Clipping: The Output Is No Longer a Scaled Copy of the Input

As the input keeps growing, the device enters deep saturation. The top of the waveform is flattened while the bottom stays as it was—this is clipping. The output is still correlated with the input, but no longer proportional to it.

Distortion has a strict definition here. The shape of the output has changed: the large parts are compressed, the small parts are unchanged, and the ratios among the components are rewritten. The fundamental is still there; harmonics have appeared. A bystander can still hear the sound, and may even find it louder; only by subtracting the output from the input point by point does one see that the error term has grown large enough to change the shape.

【Figure: a sine input set side by side with its clipped flat-topped output, annotating the flattened peaks and the newly added harmonic components】

Mapped onto the fate model, this step is precisely the inversion of the control relation. Nominally I still subdue wealth; in practice it becomes wealth draining me. On the surface I am running the project; in reality the project is pressing me along. Money is the same: it looks as though I manage the money, when in fact the risks, obligations, and responsibilities behind the money have come to control me. The output is still there, but it no longer obeys the proportion of the input.

The original text explains this layer through earth subduing water: solid earth can build dikes to store water and irrigate good fields; loose earth lets even abundant water wash straight through, or even carry the soil away, causing erosion. In systems language, water is the energy flowing through, and earth is the material of the device. Under clipping, the portion of energy not taken by the load does not disappear; it stays in the system and becomes heat.

Saturation in a magnetic circuit is a clean corroboration: as the magnetizing current keeps rising, the flux no longer grows proportionally, the excess magnetomotive force drops across the leakage paths, and core loss and winding heating rise. An audio power stage is the same: once the tops of the waveform are flattened, no matter how much harder it is driven, the useful power delivered to the load grows only marginally, while the stress on the supply, the devices, and the thermal system keeps climbing.

The heat in real life is advancing funds, asking favors, and staying up late; it is a formerly stable rhythm thrown out of order. These things produce no output; they only raise the device temperature. Once the temperature is high, parameters drift, and the linear range of the next round is narrower still.

3. Wealth Damaging Resource: Supply Collapse, Not Weakness of Will

When a weak self meets wealth, the structure most worth guarding against is wealth damaging resource. Resource is what generates me; it is the day master's energy input mode: education, method, platform, benefactors, professional ability, and also rest and rhythm. Wealth checking resource is a five-phase relation, with nothing to do with morality.

The original text gives a clear chain: the day master is on the weak side, output and expression in the chart are very strong, the day master has already been heavily drained, and what truly supports it is resource; at this point the wealth star is activated, output and expression generate wealth, wealth comes to check resource, resource is damaged, the day master loses its replenishment, and the already heavy drain becomes harder to bear.

In circuit language, this is a supply collapse. A heavy load pulls the rail down, the bias point shifts downward with it, and the device leaves the linear region; to maintain the same output, the person turns the drive up further; more drive means more current, and the rail voltage sags even lower.

Let the effective limit sag with the drive, and write the output as:

y = (C_0-\lambda x)\tanh\left(\frac{Gx}{C_0-\lambda x}\right)

Here C_0 is the nominal limit, set by the replenishment from resource and the current sharing of peers; \lambda is the strength with which the drive draws on the supply, that is, the coupling coefficient of wealth checking resource. This function is not monotonically increasing: it reaches a peak at some x, and the peak occurs before the supply is drained; afterwards, the harder the drive, the faster the limit falls, and the smaller the output becomes instead.

This is the mathematical form of "the more you chase wealth, the weaker you get; the weaker you get, the less you can carry wealth." It is a positive feedback loop, not a matter of willpower. Every step in the loop looks like effort, yet every step pushes the operating point further below the knee. The collapse is gradual; each increment is only a little more than the last, and it is hard to stop midway.

In engineering, when rail voltage collapses, the solution is not to keep turning the input up. Fix the supply first, then limit the drive. The original text's "establish the self first, then take wealth" follows the same order.

4. Resource and Peer Are Not Moral Labels: Bias, Current Sharing, and Damping

Resource and peer divide the work differently in this language. Resource raises the bias and also provides damping for the system; peer performs current sharing, letting the same load be borne by several devices in parallel, raising the current limit without raising the voltage gain.

The original text's correspondence is direct: having resource means first establishing method, knowledge, and professional ability; having peer means building teams, partners, and collaborative structures, so that wealth no longer has to be shouldered by one person alone. The former repairs the supply; the latter adds parallel devices. Neither directly produces wealth; what they change is the load-bearing condition. The goal is not to push the gain to its maximum either, but to place the operating point in the segment where substance and function balance.

Annual and period luck, then, is the supply and the drive changing together over time. Resource and peer luck raise C_0; wealth luck raises x. So the real question is another one: when wealth comes, has the self risen? If the self stands firm, wealth is opportunity; if the self does not stand, wealth is pressure; and if wealth is heavy and also damages resource, the pressure further undermines the load capacity.

【Figure: a side-by-side operating-point diagram for three bias points: under-bias resting in the cutoff region, matched bias at the center of the linear region, and over-bias pushed to the other side, corresponding to different input swings】

This set of formulas is easily used as a moral command: the weak should be toned up, the strong should be drained. The original text's attitude is far more restrained: it is only a low-resolution support-and-restraint model, valued for being usable rather than for being precise. So "weak self, resource and peer" has nothing to do with morality; it is a set of ratio parameters for bias and damping. What to supplement and how much is a matter of proportion; get the proportion wrong, and even a tonic becomes poison.

Beyond bias and current sharing, there is another layer of mechanism that is often overlooked: negative feedback. Take a portion of the output back and subtract it from the input; let the feedback factor be \beta, and the closed-loop gain becomes

A_{cl} = \frac{G}{1+G\beta}

Distortion and gain drift are compressed to 1/(1+G\beta) of their former values, the bandwidth is extended, and the price is that the gain itself is compressed by the same factor. What negative feedback improves is linearity, not the limit. The supply rail still sets the ceiling; it cannot conjure amplitude out of nothing.

This is exactly the engineering version of "establish the self first": actively limit the effective drive, trading part of the raw gain for the stability of the operating point. Rather than moral restraint, it is a stability design rule.

The reverse of the rule holds just as well. Take too much montmorillonite powder, the diarrhea stops, and constipation arrives; the original text calls this the owl deity seizing food. The engineering counterpart is overdamping or overcompensation: the system is stable but sluggish in response, the slew rate is eaten away, and it cannot keep up with a rapidly changing input. Resource and peer are a proportion, not a virtue; too little is clipping, too much is suffocation.

A strong self checked, drained, and consumed is the other side of the same proportion. A device with a high limit and surplus gain needs to deliver the excess energy into the load and enter a larger cycle before the loop closes. Ford raised the daily wage from \2.34 to \5 and cut the working day from 9 hours to 8, turning workers into consumers of the product: this is exactly that—give away the surplus, and buy back the continuation of the cycle.

The follow chart is a boundary condition, not a general rule. When the day master is so weak that it has completely lost any independent footing, and only one pure flourishing force remains in the whole chart, that is no longer an amplifier with a bias but a passive switch following the dominant supply. Its conditions for holding are very strict. The overwhelming majority of so-called weak selves are weak but rooted: they want to follow and cannot, they want to carry and cannot—the operating point sits exactly on the knee, neither in cutoff nor in the linear region. This is where distortion is most pronounced and heat begins to become non-negligible, and it is also the most common position.


The load limit arrives before the opportunity, and the reason is not that the opportunity comes early. The limit is set by bias and current sharing; the opportunity is only responsible for pushing the input higher. Beyond the knee, incremental gain tends to zero, and the energy not taken by the load turns into distortion and heat. The system appears to still be running, but the proportion of its output has already been rewritten.

Nor is the limit a fixed constant. It changes with replenishment, collaboration, and loss, so the same wealth carries different weight at different stages.

Resources are not better the more there are. Only when resources are borne by the subject do they become the subject's resources. Sometimes the problem is not the absence of wealth. Wealth arrives and cannot be caught or kept, or, in chasing it, the very replenishment that sustains the self is destroyed—that is the real trouble.

So "establish the self first, then take wealth" is not a piece of moral exhortation. It is an operating-point discipline: steady the bias first, then talk about gain; only after the linear region is confirmed does the input amplitude mean anything.

Compiled by Qiushui Guanxiang Studio