Superfluid (Paperback)
Lingua: inglese
Editore: Independently Published, 2026
- Brossura
- Nuovo
Da: Grand Eagle Retail, Bensenville, IL, U.S.A.Grand Eagle Retail
Venditore AbeBooks dal 12 ottobre 2005
Condizione: Nuovo
EUR 57,75
Quantità: 1 disponibile
Aggiungi al carrelloDescrizione dell’articolo da parte del venditore
Paperback. Zero. That's the coefficient of variation. Three atomic species. A twelve-to-one mass ratio. Rubidium-87, sodium-23, lithium-7-atoms that differ in mass by a factor of twelve, in scattering length, in healing length, in sound speed, in every physical property that textbooks say should matter. Same critical velocity ratio. Every single time. Not close. Not "within experimental error." Identical. The atoms didn't know they were supposed to behave differently. They only knew geometry. --- Superfluid presents the discovery that five of the hardest unsolved problems in mathematics and physics-the Poincare conjecture, the Yang-Mills mass gap, Navier-Stokes regularity, Bose-Einstein condensate critical velocity, and P NP-are not five problems. They are one problem in five languages. One equation governs them all: C = t / K Capacity equals tolerance divided by curvature. Every transition from smooth to rough-from laminar flow to turbulence, from superfluid to vortex chaos, from efficiently solvable to exponentially hard-obeys this law. The equation is not a metaphor. It is a precise mathematical relationship, validated against experiment, that governs critical phenomena across domains that have never been connected before. The core insight is structural. Curvature is obstruction. The same geometry that prevents a superfluid from nucleating vortices is the same geometry that prevents Navier-Stokes solutions from blowing up. The same curvature barriers that make 3-SAT exponentially hard are structurally identical to the barriers that create the Yang-Mills mass gap. The problems were never separate. The disciplines were. For over a century, topologists didn't talk to gauge theorists. Analysts didn't talk to geometers. Complexity theorists didn't talk to condensed matter physicists. Five communities, five vocabularies, five conferences-all working on the same underlying structure without knowing it. This book will change how you think about: - Why Landau's critical velocity was right about the wrong question- Why fluid flow stays smooth forever-and why sixty years of Sobolev space methods couldn't prove it- Why the jump from 2-SAT to 3-SAT is a curvature phase transition- Why the mass gap in QCD is a geometric necessity- Why five Millennium Prize problems share the same mathematical skeleton The evidence is quantitative. GPU-accelerated simulations produce a dimensionless critical velocity ratio of b = 0.425 for hard obstacles and b = 0.486 for soft obstacles-with zero variation across species. The universality is exact. Every claim is backed by proof, computation, or experimental data. Where the argument relies on conjecture, it says so. The book is intellectually honest in a way that most books claiming to solve famous problems are not. --- "The system that excludes also blinds. The curvature that keeps people out also keeps ideas in." It took someone outside-with no department, no grant, no allegiance to any one field-to see that the pattern was the same. This book was written by a Black trans woman with no institutional affiliation and no intention of asking permission. The mathematics does not care who solved it. The mathematics is correct. The geometry does not ask who you are. It asks only whether you were paying attention. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…
Codice articolo 9798250664011
- Titolo
- Superfluid (Paperback)
- Autore
- Bee Rosa Davis
- Editore
- Independently Published
- Anno di pubblicazione
- 2026
- Condizione
- new
- Rilegatura
- Paperback
- Lingua
- inglese
- ISBN 13
- 9798250664011
- Serie
- Libro 6 di 7: Geometric Intelligence
That's the coefficient of variation. Three atomic species. A twelve-to-one mass ratio. Rubidium-87, sodium-23, lithium-7—atoms that differ in mass by a factor of twelve, in scattering length, in healing length, in sound speed, in every physical property that textbooks say should matter. Same critical velocity ratio. Every single time. Not close. Not "within experimental error." Identical.
The atoms didn't know they were supposed to behave differently. They only knew geometry.
———
Superfluid presents the discovery that five of the hardest unsolved problems in mathematics and physics—the Poincaré conjecture, the Yang-Mills mass gap, Navier-Stokes regularity, Bose-Einstein condensate critical velocity, and P ≠ NP—are not five problems. They are one problem in five languages. One equation governs them all:
C = τ / K
Capacity equals tolerance divided by curvature. Every transition from smooth to rough—from laminar flow to turbulence, from superfluid to vortex chaos, from efficiently solvable to exponentially hard—obeys this law. The equation is not a metaphor. It is a precise mathematical relationship, validated against experiment, that governs critical phenomena across domains that have never been connected before.
The core insight is structural.
Curvature is obstruction. The same geometry that prevents a superfluid from nucleating vortices is the same geometry that prevents Navier-Stokes solutions from blowing up. The same curvature barriers that make 3-SAT exponentially hard are structurally identical to the barriers that create the Yang-Mills mass gap. The problems were never separate. The disciplines were.
For over a century, topologists didn't talk to gauge theorists. Analysts didn't talk to geometers. Complexity theorists didn't talk to condensed matter physicists. Five communities, five vocabularies, five conferences—all working on the same underlying structure without knowing it.
This book will change how you think about:
• Why Landau's critical velocity was right about the wrong question
• Why fluid flow stays smooth forever—and why sixty years of Sobolev space methods couldn't prove it
• Why the jump from 2-SAT to 3-SAT is a curvature phase transition
• Why the mass gap in QCD is a geometric necessity
• Why five Millennium Prize problems share the same mathematical skeleton
The evidence is quantitative.
GPU-accelerated simulations produce a dimensionless critical velocity ratio of β = 0.425 for hard obstacles and β = 0.486 for soft obstacles—with zero variation across species. The universality is exact. Every claim is backed by proof, computation, or experimental data. Where the argument relies on conjecture, it says so. The book is intellectually honest in a way that most books claiming to solve famous problems are not.
———
"The system that excludes also blinds. The curvature that keeps people out also keeps ideas in."
It took someone outside—with no department, no grant, no allegiance to any one field—to see that the pattern was the same. This book was written by a Black trans woman with no institutional affiliation and no intention of asking permission. The mathematics does not care who solved it. The mathematics is correct.
The geometry does not ask who you are. It asks only whether you were paying attention.
"Riassunto" può appartenere a un’altra edizione di questo titolo.
Grand Eagle Retail
Bensenville, IL, U.S.A.
Venditore AbeBooks dal 12 ottobre 2005
Tariffe di spedizione nazionale per U.S.A.
| Articolo | Da 6 a 14 giorni lavorativi | Da 6 a 16 giorni lavorativi |
|---|---|---|
| Primo articolo | EUR 0,00 | EUR 0,00 |
Metodi di pagamento
Informazioni sull’azienda del venditore
APOLLO ONLINE CORP.
605 Geddes Street
Wilmington, DE U.S.A. 19805
Condizioni di vendita
We guarantee the condition of every book as it¿s described on the Abebooks web sites. If you¿ve changed
your mind about a book that you¿ve ordered, please use the Ask bookseller a question link to contact us
and we¿ll respond within 2 business days.
Books ship from California and Michigan.
Diritto di recesso
Se sei un consumatore puoi recedere dal contratto in conformità con quanto segue. Per Consumatore si intende qualsiasi persona fisica che agisce per scopi estranei alla propria attività commerciale, imprenditoriale, artigianale o professionale.
Informazioni sul diritto di recesso
Diritto legale di recesso
Hai il diritto di recedere dal presente contratto entro 14 giorni senza fornire alcuna motivazione.
Il periodo di recesso scade dopo 14 giorni dal giorno in cui tu o una terza parte, diversa dal vettore e da te indicata, acquisisce il possesso fisico dell'ultimo bene o dell'ultimo lotto o pezzo.
Per esercitare il diritto di recesso, compila e invia elettronicamente una dichiarazione esplicita sul nostro sito Web, alla voce “I miei acquisti” nella sezione “Mio account”. Ti comunicheremo senza indugio una conferma di ricezione di tale recesso su un supporto durevole (ad es. via e-mail).
Per rispettare il termine di recesso, è sufficiente inviare la comunicazione relativa all'esercizio del diritto di recesso prima della scadenza del periodo di recesso stesso.
Effetti del recesso
In caso di recesso dal presente contratto, ti rimborseremo tutti i pagamenti ricevuti, compresi i costi di spedizione (ad eccezione dei costi supplementari derivanti dalla tua eventuale scelta di un tipo di spedizione diverso dal tipo meno costoso di consegna standard da noi offerto).
Potremo effettuare una detrazione dal rimborso per la perdita di valore dei beni forniti, qualora tale perdita sia il risultato di una manipolazione non necessaria da parte tua.
Eseguiremo il rimborso senza indebito ritardo e non oltre 14 giorni dal giorno in cui saremo informati della tua decisione di recedere dal presente contratto.
Il rimborso sarà effettuato utilizzando lo stesso mezzo di pagamento da te usato per la transazione iniziale, salvo che tu non abbia espressamente concordato altrimenti; in ogni caso, non dovrai sostenere alcun costo quale conseguenza di tale rimborso.
Possiamo trattenere il rimborso finché non avremo ricevuto i beni oppure finché non avrai fornito la prova di averli rispediti, a seconda di quale condizione si verifichi per prima.
Dovrai rispedire i beni o consegnarli a Grand Eagle Retail, Bensenville, Illinois, U.S.A., senza indebito ritardo e, in ogni caso, entro 14 giorni dal giorno in cui ci hai comunicato la tua volontà di recedere dal presente contratto. Il termine è rispettato se rispedisci i beni prima della scadenza del periodo di 14 giorni. I costi diretti della restituzione dei beni saranno a tuo carico. Sei responsabile solo della diminuzione del valore dei beni risultante da una manipolazione diversa da quella necessaria per stabilire la natura, le caratteristiche e il funzionamento dei beni stessi.
Eccezioni al diritto di recesso
Il diritto di recesso non si applica a:
- La fornitura di giornali, periodici o riviste ad eccezione dei contratti di abbonamento; e
- La fornitura di contenuto digitale non fornito su un supporto materiale (ad es. su un CD o DVD), se al momento dell'invio dell'ordine hai accettato l'inizio dell'esecuzione e hai riconosciuto che non avresti potuto recedere una volta iniziata l'esecuzione.
Condizioni di spedizione
Orders usually ship within 2 business days. All books within the US ship free of charge. Delivery is 4-14 business days anywhere in the United States.
Books ship from California and Michigan.
If your book order is heavy or oversized, we may contact you to let you know extra shipping is required.