The Secret of Superconductivity: An Effective Field Theory Approach within the Spacetime Ladder Theory

Abstract

The Secret of Superconductivity Superconductivity has haunted physics for over a century. Since Heike Kamerlingh Onnes first observed mercury losing all electrical resistance at 4.2 Kelvin in 1911, the phenomenon has oscillated between triumph and mystery. BCS theory brought partial resolution in 1957—a Nobel Prize—only for the discovery of cuprate high-temperature superconductors in 1986 to reopen the wound. Today, more than a hundred years after Onnes, the mechanism of unconventional superconductivity remains, in the honest assessment of the field, unsolved. This book emerges from a conviction that the impasse is not merely computational—a problem of insufficient processing power or missing experimental data—but conceptual. When a field spends decades refining approximations without arriving at a unified first-principles picture, it is usually a signal that the underlying coordinate system needs to change. The history of physics is littered with such moments: the ether before special relativity, caloric before thermodynamics, epicycles before heliocentrism. Each breakthrough came not from working harder within the old framework, but from stepping outside it. The Spacetime Ladder Theory (STLT) represents precisely such a step. Rather than treating superconductivity as a localized phenomenon confined to the crystalline solid—a “game” played by electrons within the lattice—it situates the transition within a broader effective field theory that bridges microscopic quantum mechanics and macroscopic emergent order. The central image is both mathematically precise and physically evocative: the superconducting phase transition is the condensed-matter realization of open-to-closed string duality. Normal electrons, bound to the lattice like strings with endpoints pinned to D-branes, condense into Cooper-pair vortex loops—closed strings, free in the bulk, carrying no dissipation. The result is a closed-form universal critical temperature formula—derived, not fitted—that describes six distinct classes of superconducting materials under a single analytical framework, with a root-mean-square error of 2.1 K. Cuprates, iron-based superconductors, magnesium diboride, organic superconductors, and magic-angle twisted bilayer graphene: all emerge as special cases of a single expression, each distinguished by its position in parameter space rather than by fundamentally different physics. BCS theory itself reappears as the degenerate infrared limit, recovered exactly when the closed-string sector decouples. Beyond the formula, this volume pursues three problems that have long resisted unified treatment. The first is the mechanism of topological phase transitions in superconductors, recast here through the lens of string duality in a way that yields concrete, material-specific predictions rather than formal analogies. The second is the LK-99 controversy—arguably the most publicly visible episode in condensed matter physics in decades—whose apparent failure the STLT framework reinterprets not as a dead end but as an inadvertent discovery: the two findings that “refuted” LK-99 turn out to be precisely the two components required for a room-temperature superconducting sandwich heterostructure. The third is the nickelate puzzle, where the theory identifies the bottleneck not as weak pairing—nickelates actually exhibit exceptional coherence—but as poor confinement, pointing experimentalists toward strain engineering and interface passivation as the concrete path forward. A word on the theory’s epistemic posture: the STLT is presented throughout this volume as an effective field theory, not a claim to have derived condensed matter physics from first-principles string theory. The structural isomorphism with open-closed string duality is the interpretive framework; the predictive power rests on the STLT action and its agreement with experiment. Every paper in this collection explicitly labels each derivation step by its logical type—direct derivation, standard field-theoretic result, mathematical identity, effective parametrization, or semiclassical approximation—so that the reader can distinguish what is proven from what is assumed. Falsifiable predictions are stated openly and left to independent experimental verification. Room-temperature superconductivity is no longer a distant dream in this framework; it is an engineering specification. The theory identifies precisely the parameter window required—high coherence coefficient Kcc, low dispersion coefficient D, multilayer geometry—and proposes C60-based Fullerphene networks as a candidate platform whose predicted parameters fall within that window. Whether this specific prediction proves correct or requires revision, the broader principle it embodies is the lasting contribution: room-temperature superconductivity may be a problem of architecture rather than material, of confinement rather than pairing strength. The validation of any subversive paradigm requires a long trial by fire through empirical testing. This book does not ask the reader to accept its conclusions; it asks the reader to test them. The experimental predictions are specific, the parameter definitions are independent of the quantity being predicted, and the framework is explicitly designed to be falsifiable. Science progresses through the rigorous engagement of theory and experiment—and the publication of this volume is an invitation to precisely that engagement. May the reader find, within these pages, not merely a new formula for a critical temperature, but a new way of seeing the ladder that connects the quantum ocean of electrons to the macroscopic fabric of ordered matter.

Abstract of "The Secret of Superconductivity: An Effective Field Theory Approach within the Spacetime Ladder Theory" by Binggong Chang, https://doi.org/10.5281/zenodo.20802725, used under its Creative Commons Attribution license (CC-BY); markup removed, otherwise unmodified.