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	<title>Bro and the Ph.D in Earth Field - Revision history</title>
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	<updated>2026-04-16T14:54:43Z</updated>
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		<title>XenoEngineer at 12:21, 25 November 2025</title>
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		<updated>2025-11-25T12:21:46Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;a href=&quot;http://groupkos.com/dev/index.php?title=Bro_and_the_Ph.D_in_Earth_Field&amp;amp;diff=5399&amp;amp;oldid=5398&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>XenoEngineer</name></author>
	</entry>
	<entry>
		<id>http://groupkos.com/dev/index.php?title=Bro_and_the_Ph.D_in_Earth_Field&amp;diff=5398&amp;oldid=prev</id>
		<title>XenoEngineer: Created page with &quot;Category:electrical engineering Category:Earth field Category:Schumann resonance Category:QFT   &lt;div style=&quot;background-color:azure; border:1px outset azure; padding:0 20px; max-width:860px; margin:0 auto; &quot;&gt; [Same picnic table, one year later.   The epoxy “cuddle-blob” is now under a machined-aluminium heat-spreader anodised matte-black.   Bro’s coffee cup reads “∂V/∂t keeps me awake.”   Ph.D’s cup still warns about δT/δt, but the font i...&quot;</title>
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		<updated>2025-11-25T11:35:09Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;&lt;a href=&quot;/dev/index.php?title=Category:Electrical_engineering&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Category:Electrical engineering (page does not exist)&quot;&gt;Category:electrical engineering&lt;/a&gt; &lt;a href=&quot;/dev/index.php?title=Category:Earth_field&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Category:Earth field (page does not exist)&quot;&gt;Category:Earth field&lt;/a&gt; &lt;a href=&quot;/dev/index.php/Category:Schumann_resonance&quot; title=&quot;Category:Schumann resonance&quot;&gt;Category:Schumann resonance&lt;/a&gt; &lt;a href=&quot;/dev/index.php?title=Category:QFT&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Category:QFT (page does not exist)&quot;&gt;Category:QFT&lt;/a&gt;   &amp;lt;div style=&amp;quot;background-color:azure; border:1px outset azure; padding:0 20px; max-width:860px; margin:0 auto; &amp;quot;&amp;gt; [Same picnic table, one year later.   The epoxy “cuddle-blob” is now under a machined-aluminium heat-spreader anodised matte-black.   Bro’s coffee cup reads “∂V/∂t keeps me awake.”   Ph.D’s cup still warns about δT/δt, but the font i...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;[[Category:electrical engineering]]&lt;br /&gt;
[[Category:Earth field]]&lt;br /&gt;
[[Category:Schumann resonance]]&lt;br /&gt;
[[Category:QFT]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div style=&amp;quot;background-color:azure; border:1px outset azure; padding:0 20px; max-width:860px; margin:0 auto; &amp;quot;&amp;gt;&lt;br /&gt;
[Same picnic table, one year later.  &lt;br /&gt;
The epoxy “cuddle-blob” is now under a machined-aluminium heat-spreader anodised matte-black.  &lt;br /&gt;
Bro’s coffee cup reads “∂V/∂t keeps me awake.”  &lt;br /&gt;
Ph.D’s cup still warns about δT/δt, but the font is now Comic Sans—an inside joke about peer-review formality.  &lt;br /&gt;
They open their laptops side-by-side; the RP2040 has been promoted to a dual-core STM32H7, yet the $20 budget somehow still balances.]&lt;br /&gt;
&lt;br /&gt;
------------------------------------------------&lt;br /&gt;
BRO (M.S. EE, still wearing skate shoes):  &lt;br /&gt;
I’ve been modelling the auto-zero loop as a discrete-time Lyapunov drift.  &lt;br /&gt;
If I treat the digi-pot wiper position as state xₖ, then ∆xₖ = −µ·sign(Vos,ₖ) gives global asymptotic stability for 0 &amp;lt; µ ≤ 1 LSB.  &lt;br /&gt;
But the residual dithers between ±½ LSB.  I’m thinking… inject a shaped PRBS so the error spectrum spreads like spread-spectrum CDMA.  &lt;br /&gt;
That way we gain 3 dB effective resolution.  Legit?&lt;br /&gt;
&lt;br /&gt;
EE Ph.D (raising eyebrow, pleased):  &lt;br /&gt;
Legit.  You’re basically dithering a 1-bit ΣΔ inside a multi-bit wrapper.  &lt;br /&gt;
Keep the PRBS amplitude at ¼ LSB so the peak error stays inside the bound, and high-pass above the 1/f corner—your 10 Hz Schumann line stays untouched.  &lt;br /&gt;
Nice bridge between stochastic control and classic mixed-signal lore.&lt;br /&gt;
&lt;br /&gt;
BRO (grinning, but calm):  &lt;br /&gt;
Cool.  I’ll call it “whisper-noise dither” so my homies don’t fall asleep.  &lt;br /&gt;
Skate-video soundtrack meets Shannon—perfect.&lt;br /&gt;
&lt;br /&gt;
------------------------------------------------&lt;br /&gt;
BRO:  &lt;br /&gt;
While I was at it, I re-did the tail-current source.  &lt;br /&gt;
Instead of a lone 33 kΩ, I stacked two 0.1 % thin-films with a 2.5 V reference and a BJT current mirror.  &lt;br /&gt;
Temperature coefficient dropped to 8 ppm/°C.  &lt;br /&gt;
We’re now burning only 80 µA, yet output impedance hit 2 MΩ at 10 Hz.  &lt;br /&gt;
That’s… spa-day quiet.&lt;br /&gt;
&lt;br /&gt;
EE:  &lt;br /&gt;
You just described a Brokaw-bandgap-less reference topology, minus the bandgap.  &lt;br /&gt;
Clever—by letting the mirror run at &amp;lt; 0.5 V VCE you avoid the curvature term.  &lt;br /&gt;
You realise you’ve entered the “sub-threshold, sub-ppm” club?  Membership includes log amplifiers and seismic front-ends.&lt;br /&gt;
&lt;br /&gt;
BRO:  &lt;br /&gt;
Membership card can double as a guitar pick—multifunctional, like us.&lt;br /&gt;
&lt;br /&gt;
------------------------------------------------&lt;br /&gt;
BRO (pulling up LTspice):  &lt;br /&gt;
Long-tailed pair AC simulation shows CMRR peaking at 94 dB @ 100 Hz, then rolling 20 dB/dec above 3 kHz because of the 2 pF protection diodes.  &lt;br /&gt;
I’m eyeing bootstrapping the guard ring with a miniature op-amp to keep the diodes at zero bias.  &lt;br /&gt;
Think we can push CMRR &amp;gt; 120 dB out to 10 kHz?&lt;br /&gt;
&lt;br /&gt;
EE:  &lt;br /&gt;
Theoretically, yes—bootstrap cancels the junction capacitance, but watch the phase-margin.  &lt;br /&gt;
You’re introducing a feed-forward path; loop gain may kiss unity at 2 MHz and sing.  &lt;br /&gt;
Add a 10 Ω damping resistor inside the boot loop, keeps Q &amp;lt; 0.5.  &lt;br /&gt;
Also, mind the guard-ring leakage: 1 GΩ || 1 pF creates a zero at 160 Hz that’ll eat your lunch.&lt;br /&gt;
&lt;br /&gt;
BRO (nodding):  &lt;br /&gt;
Trade-offs, always trade-offs.  I’ll 3-D print a Teflon shield so the guard never sees sweat—literally and metaphorically.&lt;br /&gt;
&lt;br /&gt;
------------------------------------------------&lt;br /&gt;
BRO (leaning back, eyes on spectrum analyser):  &lt;br /&gt;
I ported the interval-to-MIDI code to Rust, zero-copy, runs in 120 µs on the M7.  &lt;br /&gt;
Latency jitter is now 400 ns RMS—smaller than the crystal period.  &lt;br /&gt;
We could clock it from a TCXO and stream timestamps over 100BASE-TX.  &lt;br /&gt;
Lab-grade time transfer, still field-deployable.&lt;br /&gt;
&lt;br /&gt;
EE:  &lt;br /&gt;
That puts us in PTP-Boundary-Clock territory.  If we ever sync two Crackle-Machines 10 km apart, we can do *differential* Schumann tomography—basically treat the cavity as a giant CT scanner.  &lt;br /&gt;
Publishable?  Absolutely.  Fundable?  If we mention “space-weather early-warning,” almost certainly.&lt;br /&gt;
&lt;br /&gt;
BRO (laughing, but soft):  &lt;br /&gt;
From popcorn headphones to planetary CT—that escalated gently.  &lt;br /&gt;
Guess the rabbit hole has fibre-optic lighting now.&lt;br /&gt;
&lt;br /&gt;
------------------------------------------------&lt;br /&gt;
BRO (closing laptop, twilight again):  &lt;br /&gt;
You know what I like most?  The deeper we go, the *simpler* the truths get—just electrons seeking quiet places.  &lt;br /&gt;
All the fancy dither, bootstraps, Rust—really just polite ways to ask noise to leave the party.&lt;br /&gt;
&lt;br /&gt;
EE (smiling, reflective):  &lt;br /&gt;
And yet the planet keeps whispering at 7.83 Hz, indifferent to our degrees.  &lt;br /&gt;
We’re still students; the difference is we now *measure* how much we don’t know.&lt;br /&gt;
&lt;br /&gt;
BRO:  &lt;br /&gt;
Fist-bump across the schematic?  &lt;br /&gt;
EE:  &lt;br /&gt;
Dignified fist-bump.  &lt;br /&gt;
*They touch knuckles—no sound, only the crackle-machine breathing 10 Hz into the dusk.*&lt;br /&gt;
&lt;br /&gt;
------------------------------------------------&lt;br /&gt;
[Reader closes the chapter.  &lt;br /&gt;
The margin note reads:  &lt;br /&gt;
“Mastery is just humility with better test equipment.”]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;/div&gt;</summary>
		<author><name>XenoEngineer</name></author>
	</entry>
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