Unitary Theory Research Articles

'Vesting' Uses in UVA Rotunda Founding Era Collection, 1776-1789

“The executive Power shall be in a President of the United States of America.” The Executive Clause is one of three originalist pillars for the unitary executive theory, that as a strict separation of powers, the president possesses executive powers like removal, exclusive from congressional limitations (i.e., they are indefeasible). Many originalists generally tend to assume that “vest” means a formalist approach to separation of powers, rather than more functional Madisonian check-and-balances. Unitary judges and scholars, however, have not provided historical evidence that “vest” had such an original public meaning. This spreadsheet is part of Vesting (forthcoming, Stanford Law Review 2022), an article offering a close textual reading of the word “vesting” and an examination of its context, with the first survey of the available dictionaries from the era and the word’s usage in early colonial charters and American constitutions, the Convention, and ratification debates. The bottom line is that, in this era, the word “vest” did not connote exclusivity, indefeasibility, or a special constitutional status for official power. At best, the meaning of “vested” was unclear, and more likely, its ordinary meaning was a simple grant of powers without signifying the impermissibility of legislative checks and balances. This survey of the word vest (vested, vesting, etc.) in the Framers’ writings in the University of Virginia's Founding Era Collection (the papers of Washington, Adams, Hamilton, Madison, Jay, and Jefferson, and the Ratification debates) from 1776 to 1789 produces approximately 1,000 different uses. Most of the uses refer to by itself as a grant of power, but approximately 10% modify the word with words like fully, solely, exclusively, completely, or absolutely, or with references to plenipotentiary or power (or similar modfiers), specifying a more robust kind of power. Conversely, approximately 1% of the uses added words like limited or partial vesting and the like, specifying a weaker kind of vesting. These uses suggest that the word vest by itself did not signify complete or unconditional power, but it needed to be supplemented. This survey indicates a range of usage, from “fully vested” to simply to “partly vested,” and uses like fully vested appeared frequently in the context of military authority, diplomatic authority, and legislative powers over taxation and commerical regulation, suggesting that some kinds of traditional executive power and legislative power might be more complete, but not all kinds of such powers. This study of “vesting” in eighteenth-century constitutions and databases of Framers’ writings so that the “all” in the Legislative Clause may be more legally meaningful and potentially more support for the non-delegation doctrine, but the absence of or similar words from Article II weakens the unitary executive theory of indefeasible executive power. Founding Era Collection site: https://rotunda.upress.virginia.edu/founders/default.xqy?keys=FGEA-info-search

Is the Theory of Karman the Solution to the Problem of Evil? Some Thoughts from Viśiṣṭādvaita Vedānta

Several scholars have discussed various versions of the theory of karman as offering a convincing solution to the problem of evil. Arthur Herman even thinks that the theory of karman is the ultimate theodicy (1976). Such scholars tend to imagine that a unitary theory of karman can be reconstructed as the backbone of most of Sanskrit philosophy of religion and ethics. In this article, I discuss the role of the theory of karman and the problem of evil in one of the schools of Sanskrit philosophy which is still alive and thriving, namely Viśiṣṭādvaita Vedānta. Is karman really the central key to theodicy in this school? Additionally, does the school’s theory of karman correspond to what Herman, Chadha, Trakakis, Sharma and others discuss?

Antilinear symmetry and the ghost problem in quantum field theory

The recognition that the eigenvalues of a non-Hermitian Hamiltonian could all be real if the Hamiltonian had an antilinear symmetry such as PT stimulated new insight into the underlying structure of quantum mechanics. Specifically, it led to the realization that Hilbert space could be richer than the established Dirac approach of constructing inner products out of ket vectors and their Hermitian conjugate bra vectors. With antilinear symmetry one must instead build inner products out of ket vectors and their antilinear conjugates, and it is these inner products that would be time independent in the non-Hermitian but antilinearly symmetric case even as the standard Dirac inner products would not be. Moreover, and in a sense quite remarkably, antilinear symmetry could address not only the temporal behavior of the inner product but also the issue of its overall sign, with antilinear symmetry being capable of yielding a positive inner product in situations such as fourth-order derivative quantum field theories where the standard Dirac inner product is found to have ghostlike negative signature. Antilinear symmetry thus solves the ghost problem in such theories by showing that they are being formulated in the wrong Hilbert space, with antilinear symmetry providing a Hilbert space that is ghost free. Antilinear symmetry does not actually get rid of the ghost states. Rather, it shows that the reasoning that led one to think that ghosts were present in the first place is faulty. Implications of our results for constructing unitary quantum theories of gravity are presented.

Flat limit chiral gravity in GMMG and EGMG

In this work we extend the holographic correspondence between flat space limit of chiral topological massive gravity and a specific unitary field theory to flat space limit of chiral general minimal massive gravity and chiral exotic general massive gravity. To check the conjecture, we compare the entropy and partition function of flat limit of BTZ black hole from viewpoint of both sides.

Targeting Cellular Senescence for Age-Related Diseases: Path to Clinical Translation.

Beyond the palliative reach of today's medicines, medical therapies of tomorrow aim to treat the root cause of age-related diseases by targeting fundamental aging mechanisms. Pillars of aging include, among others, genomic instability, telomere attrition, epigenetic alterations, loss of proteostasis, dysregulated nutrient sensing, mitochondrial dysfunction, cellular senescence, stem cell exhaustion, and altered intercellular communication. The unitary theory of fundamental aging processes posits that by targeting one fundamental aging process, it may be feasible to impact several or all others given its interdependence. Indeed, pathologic accumulation of senescent cells is implicated in chronic diseases and age-associated morbidities, suggesting that senescent cells are a good target for whole-body aging intervention. Preclinical studies using senolytics, agents that selectively eliminate senescent cells, and senomorphics, agents that inhibit production or release of senescence-associated secretory phenotype factors, show promise in several aging and disease preclinical models. Early clinical trials using a senolytic combination (dasatinib and quercetin), and other senolytics including flavonoid, fisetin, and BCL-xL inhibitors, illustrate the potential of senolytics to alleviate age-related dysfunction and diseases including wound healing. Translation into clinical applications requires parallel clinical trials across institutions to validate senotherapeutics as a vanguard for delaying, preventing, or treating age-related disorders and aesthetic aging.

Photoproduction of possible pentaquark states Λb0(5912) and Λb0(5920) in the γp→Λb0(*)B+ reactions

In this work, we report on a theoretical study of possible pentaquark states $\Lambda^0_b(5912)$ and $\Lambda^0_b(5920)$ in the $\gamma{}p\to{}\Lambda_b^{0(*)}B^+$ reactions within an effective Lagrangian approach. In addition to the contributions from the $s$-channel nucleon pole and $t$-channel $\bar{B}^{{*}-}$ exchange, the contact term contribution are also included. Our theoretical approach is based on the chiral unitary theory where the $\Lambda^0_b(5912)$ and $\Lambda^0_b(5920)$ resonances are dynamically generated. Within the coupling constants of the $\Lambda^0_b(5912)$ and $\Lambda^0_b(5920)$ to $\bar{B}p$ and $\bar{B}^{*}p$ channels obtained from chiral unitary theory, the total and differential cross sections of the $\gamma{}p\to{}\Lambda_b^{0(*)}B^+$ are evaluated. Our calculation indicates that the cross section for $\gamma{}p\to{}\Lambda_b^{0}(5912)B^{+}$ and $\gamma{}p\to{}\Lambda_b^{0}(5920)B^{+}$ reactions are of the order of 0.0164 nb and 0.00527 nb,respectively. If measured in future experiments, such as Electron-Ion Collider in China (EicC) or US(US-EIC), the predicted total cross sections and specific features of the angular distributions can be used to test the (molecular) nature of the $\Lambda^0_b(5912)$ and $\Lambda^0_b(5920)$ that they may be pentaquark states.

Inductive limits of compact quantum groups and their unitary representations

We introduce inductive limits of compact quantum groups and their unitary representation theories. Those give a more explicit representation-theoretic meaning to our previous study of quantization of characters and central probability measures in the asymptotic representation theory. We also study tensor product representations of the infinite-dimensional quantum unitary group. As a by-product, we give an explicit representation-theoretic interpretation to certain transformations that play an important role in analyzing q-central probability measures on the paths in the q-Gelfand–Tsetlin graph.

Unitary Theory of Quantum Mechanics and General Relativity

Essentially, in this paper we propose a new description of the quantum dynamics by two relativistic propagation wave packets, in the two conjugated spaces, of the coordinates and of the momentum. Compared to the Schrödinger-Dirac equation, which describes a free particle by a wave function continuously expanding in time, considered as the amplitude of a probabilistic distribution of this particle, the new equations describe a free particle as an invariant distribution of matter propagating in the two spaces, as it should be. Matter quantization arises from the equality of the integral of the matter density with the mass describing the dynamics of this density in the phases of the wave packets. In this description, the classical Lagrange and Hamilton equations are obtained as the group velocities of the two wave packets in the coordinate and momentum spaces. When to the relativistic Lagrangian we add terms with a vector potential conjugated to coordinates, as in the Aharonov-Bohm effect, and a scalar potential conjugated to time, we obtain the Lorentz force and the Maxwell equations as characteristics of the quantum dynamics. In this framework, the conventional Schrödinger-Dirac equations of a quantum particle in an electromagnetic field obtain additional terms explicitly depending on velocity, as is expected in the framework of relativistic theory. Such a particle wave function takes the form of a rapidly varying wave, with the frequency corresponding to the rest energy, modulated by the electric potential  where this particle is confined, the vector potential   of the electromagnetic radiation, and the gravitational potential. In the gravitational field of a black hole, the velocity of a quantum particle is directed to the Schwarzschild boundary from the outside and from the inside, without passing this boundary. When the very strong gravitational field of a large agglomeration of matter has spherical symmetry with a radius smaller than the Schwarzschild radius, the quantum particles in the central region are crushed up to quasi-uniform distributions of matter, exploding with velocities much larger than the light velocity, towards the Schwarzschild boundary, but decelerating in the gravitational field and reaching this boundary only in an infinite time. The matter of a black hole has the tendency to concentrate around the Schwarzschild boundary, with a radius proportional to its mass. In this framework, we believe that our universe is a huge black hole, with the explosion of its central matter as the Big Bang-inflation process, and an increasing radius on account of an absorption of matter from the Total Universe, where our universe has been formed. In a gravitational wave, the time-space interval in the first-order approximation is the product of a gravitational invariant including the amplitude tensor, and a coordinate invariant including the polarization vector. The gravitational invariant describes a rotation of the metric tensor around the direction of the propagation of this wave, with spin 2, as a gravitational quantum called graviton. The coordinate invariant describes a matter rotation with the spins ½ for Fermions, and 1 for Bosons. From the new dynamic equations, for a free particle in the coordinate and momentum spaces, we reobtain the two basic equations of the quantum field theory, but with a change of sign, and an additional term depending on momentum, to the rest mass as the eigenvalue of these equations. However, when these eigenvalues are eliminated, the wave function takes the form of a wave packet of spinors of the same form as in the conventional quantum field theory, with a normalization volume as the integral of the ratio of the energy to the rest energy, over the momentum domain which gives finite dimensions to the quantum particle, as a finite distribution of matter in the coordinate space.

General anaesthetics as 'awakening agents'? Re-appraising the evidence for suggested 'pressure reversal' of anaesthesia.

Increasing ambient pressure has been suggested to reverse general anaesthesia and provides support for the 'lipid theory'. Anaesthetic dissolution into cell membranes is said to cause their expansion to a critical volume. This triggers a sequence of events as basis of a unitary theory of anaesthestic mechanism. Pressure is argued to restore membrane volume to below critical level, reversing this process. We wished to review the original literature to assess internal consistency within and across papers, and to consider if alternative interpretations were possible. A literature search yielded 31 relevant 'pressure reversal' papers for narrative review, and 8 papers that allowed us to re-plot original data more consistently as 'dose-response' curves for the anaesthetics examined. Original studies were heterogenous for end-points, pressure ranges, species, and agents. Pressure effects were inconsistent, with narcosis at certain pressures and excitation at others, influenced by carrier gas (e.g., nitrogen vs helium). Pressure reversal (a right- or downward-shift on the re-plotted dose-response curves) was evident, but only in some species and at certain pressures and anaesthetic concentrations. However, even more striking was a novel 'awakening' effect of anaesthetics: i.e., anaesthetics reversed the narcotic effect of pressure, but this was limited to certain pressures at generally low anaesthetic concentrations. Contrary to the established view, 'pressure reversal' is not a universal phenomenon. The awakening effect of anaesthetics - described here for the first time - has equal evidence to support it, within the same literature, and is something that cannot be fully explained. Pressure cannot meaningfully be used to gain insight into anaesthetic mechanisms because of its heterogenous, non-specific and unpredictable effects on biological systems.

Real-time lattice gauge theory actions: Unitarity, convergence, and path integral contour deformations

The Wilson action for Euclidean lattice gauge theory defines a positive-definite transfer matrix that corresponds to a unitary lattice gauge theory time-evolution operator if analytically continued to real time. Hoshina, Fujii, and Kikukawa (HFK) recently pointed out that applying the Wilson action discretization to continuum real-time gauge theory does not lead to this, or any other, unitary theory and proposed an alternate real-time lattice gauge theory action that does result in a unitary real-time transfer matrix. The character expansion defining the HFK action is divergent, and in this work we apply a path integral contour deformation to obtain a convergent representation for $U(1)$ HFK path integrals suitable for numerical Monte Carlo calculations. We also introduce a class of real-time lattice gauge theory actions based on analytic continuation of the Euclidean heat-kernel action. Similar divergent sums are involved in defining these actions, but for one action in this class this divergence takes a particularly simple form, allowing construction of a path integral contour deformation that provides absolutely convergent representations for $U(1)$ and $SU(N)$ real-time lattice gauge theory path integrals. We perform proof-of-principle Monte Carlo calculations of real-time $U(1)$ and $SU(3)$ lattice gauge theory and verify that exact results for unitary time evolution of static quark-antiquark pairs in ($1+1$)D are reproduced.

Assessing the Trump Presidency on Its Own Terms

AbstractSome scholars have judged the Trump presidency to be an ineffective failure by applying theories of presidential power derived from the research of Richard Neustadt, who emphasized the need for presidents to master the task of bargaining with other stakeholders in the American political system to overcome what he saw as the limited potency of unilateral action. Such an approach, however, fails to account for two important considerations: (1) whether Trump’s goals in office were similar to those of other presidents, and (2) whether the Trump presidency was instead organized around the principles of unitary executive theory, an increasingly popular conception of the presidency in conservative intellectual circles. Viewing the Trump presidency through this alternative lens emphasizes its successes in gaining political control over elements of the executive branch bureaucracy and resisting institutional checks by Congress, raising serious questions about whether Trump was indeed often effective in realizing his goals—and whether future presidents will follow in the same path.

THE PARADIGM OF CONTEMPORARY UNITARISM IN UKRAINE: ISSUES OF FORMATION AND IMPLEMENTATION

Aim. The article aims to investigate the essential and content characteristics of unitarism as a phenomenon of contemporary constitutional law. The synergistic connection between the doctrine of modern unitarism, the principles of unitarity of the state territory and the fundamental institutions of political-legal and state-administrative life of modern unitary states is shown. It proves that the unitary system is not only one of the important components of the process of accomplishing the tasks, goals and functions of most modern states, but also an immanent feature and strategic element of the mechanism of exercising their sovereign rights.
 Methods. The methodological basis encompasses philosophico-ideological, general scientific principles and approaches and special scientific methods of inquiry for constitutional and legal phenomena and processes. The philosophico-ideological basis of the study is the position of dialectics, on the basis of which the causes and factors of the evolution of unitarism are thoroughly investigated. In general, the research was conducted on the basis of a combination of ontological, epistemological and axiological analysis of contemporary unitarism.
 Results. The complexity, importance and relatively widespread use of unitarity as a form of government is causing a lively and ever-growing scientific interest in it throughout the world. The unique capability of unitarism to take into account the specific features of a particular condition allows it to manifest itself in each case in a new way. That is why it is important to analyze the mutual influence of unitary theory and practice, to explore and take into account the peculiarities of national unitarism.
 The problem of unitarism and the unitary form of the territorial structure of the state and the status of its constituents is one of the least studied in domestic constitutional law. Modern scholars studying constitutional law, as a rule, are limited to consideration of individual issues of the territory, in particular, the features of the territorial organization of state power and local self-government, problems of state sovereignty, territorial integrity and inviolability, etc. To a large extent, the problem has not been studied exhaustively in contemporary Ukraine which causes difficulties in understanding such interrelated but not identical phenomena as unitarism and unitarity, regionalism and regionalization, municipalism and municipalization, decentralization and deconcentration, etc. It should be noted that in modern literature related to problems of state territory, territorial organization of state power, and other issues of the status of territory, the complex, multidimensional nature of unitarism, as a constitutional category, is not always taken into account.
 Conclusions. Unitarism is proved to be a multidimensional socio-political and constitutional phenomenon: it is an idea, a theory, a scientific direction as well as a global social constitutional practice and a constitutional form of the existence and functioning of territorial communities, it is the historical condition of national statehood and Ukrainian regional civilization and the form of realization of the national identity and civic consciousness, etc.

Wick Rotation and the Positivity of Energy in Quantum Field Theory

Abstract We propose a new axiom system for unitary quantum field theories on curved space-time backgrounds, by postulating that the partition function and the correlators extend analytically to a certain domain of complex-valued metrics. Ordinary Riemannian metrics are contained in the allowable domain, while Lorentzian metrics lie on its boundary.

ZN symmetries, anomalies, and the modular bootstrap

We explore constraints on (1+1)$d$ unitary conformal field theory with an internal $\mathbb{Z}_N$ global symmetry, by bounding the lightest symmetry-preserving scalar primary operator using the modular bootstrap. Among the other constraints we have found, we prove the existence of a $\mathbb{Z}_N$-symmetric relevant/marginal operator if $N-1 \le c\le 9-N$ for $N\leq4$, with the endpoints saturated by various WZW models that can be embedded into $(\mathfrak{e}_8)_1$. Its existence implies that robust gapless fixed points are not possible in this range of $c$ if only a $\mathbb{Z}_N$ symmetry is imposed microscopically. We also obtain stronger, more refined bounds that depend on the 't Hooft anomaly of the $\mathbb{Z}_N$ symmetry.

Unified model beyond grand unification

Strong, electromagnetic, and weak forces were unified in the Standard Model (SM) with spontaneous gauge symmetry breaking. These forces were further conjectured to be unified in a simple Lie group gauge interaction in the Grand Unification (GUT). In this work, we propose a theory beyond the SM and GUT by adding new gapped Topological Phase Sectors consistent with the nonperturbative global anomaly cancellation and cobordism constraints (especially from the baryon minus lepton number ${\bf B}-{\bf L}$, the electroweak hypercharge $Y$, and the mixed gauge-gravitational anomaly). Gapped Topological Phase Sectors are constructed via symmetry extension, whose low energy contains unitary Lorentz invariant topological quantum field theories (TQFTs): either 3+1d non-invertible TQFT, or 4+1d invertible or non-invertible TQFT (short-range or long-range entangled gapped phase). Alternatively, there could also be right-handed "sterile" neutrinos, gapless unparticle physics, more general interacting conformal field theories, or gravity with topological cobordism constraints, or their combinations to altogether cancel the mixed gauge-gravitational anomaly. We propose that a new high-energy physics frontier beyond the conventional 0d particle physics relies on the new Topological Force and Topological Matter including gapped extended objects (gapped 1d line and 2d surface operators or defects, etc., whose open ends carry deconfined fractionalized particle or anyonic string excitations) or gapless conformal matter. Physical characterizations of these gapped extended objects require the mathematical theories of cohomology, cobordism, or category. Although weaker than the weak force, Topological Force is infinite-range or long-range which does not decay in the distance, and mediates between the linked worldvolume trajectories via fractional or categorical statistical interactions.

A covered eye fails to follow an object moving in depth

To clearly view approaching objects, the eyes rotate inward (vergence), and the intraocular lenses focus (accommodation). Current ocular control models assume both eyes are driven by unitary vergence and unitary accommodation commands that causally interact. The models typically describe discrete gaze shifts to non-accommodative targets performed under laboratory conditions. We probe these unitary signals using a physical stimulus moving in depth on the midline while recording vergence and accommodation simultaneously from both eyes in normal observers. Using monocular viewing, retinal disparity is removed, leaving only monocular cues for interpreting the object’s motion in depth. The viewing eye always followed the target’s motion. However, the occluded eye did not follow the target, and surprisingly, rotated out of phase with it. In contrast, accommodation in both eyes was synchronized with the target under monocular viewing. The results challenge existing unitary vergence command theories, and causal accommodation-vergence linkage.

A no-go theorem for the persistent reality of Wigner\u2019s friend\u2019s perception

The notorious Wigner’s friend thought experiment (and modifications thereof) has received renewed interest especially due to new arguments that force us to question some of the fundamental assumptions of quantum theory. In this paper, we formulate a no-go theorem for the persistent reality of Wigner’s friend’s perception, which allows us to conclude that the perceptions that the friend has of her own measurement outcomes at different times cannot “share the same reality”, if seemingly natural quantum mechanical assumptions are met. More formally, this means that, in a Wigner’s friend scenario, there is no joint probability distribution for the friend’s perceived measurement outcomes at two different times, that depends linearly on the initial state of the measured system and whose marginals reproduce the predictions of unitary quantum theory. This theorem entails that one must either (1) propose a nonlinear modification of the Born rule for two-time predictions, (2) sometimes prohibit the use of present information to predict the future—thereby reducing the predictive power of quantum theory—or (3) deny that unitary quantum mechanics makes valid single-time predictions for all observers. We briefly discuss which of the theorem’s assumptions are more likely to be dropped within various popular interpretations of quantum mechanics.

Hints of gravitational ergodicity: Berry\u2019s ensemble and the universality of the semi-classical Page curve

Recent developments on black holes have shown that a unitarity-compatible Page curve can be obtained from an ensemble-averaged semi-classical approximation. In this paper, we emphasize (1) that this peculiar manifestation of unitarity is not specific to black holes, and (2) that it can emerge from a single realization of an underlying unitary theory. To make things explicit, we consider a hard sphere gas leaking slowly from a small box into a bigger box. This is a quantum chaotic system in which we expect to see the Page curve in the full unitary description, while semi-classically, eigenstates are expected to behave as though they live in Berry’s ensemble. We reproduce the unitarity-compatible Page curve of this system, semi-classically. The computation has structural parallels to replica wormholes, relies crucially on ensemble averaging at each epoch, and reveals the interplay between the multiple time-scales in the problem. Working with the ensemble averaged state rather than the entanglement entropy, we can also engineer an information “paradox”. Our system provides a concrete example in which the ensemble underlying the semi-classical Page curve is an ergodic proxy for a time average, and not an explicit average over many theories. The questions we address here are logically independent of the existence of horizons, so we expect that semi-classical gravity should also be viewed in a similar light.

Multifractional theories: An updated review

The status of multifractional theories is reviewed using comparative tables. Theoretical foundations, classical matter and gravity dynamics, cosmology and experimental constraints are summarized and the application of the multifractional paradigm to quantum gravity is discussed. We also clarify the issue of unitarity in theories with integer-order derivatives.

Large deviations of energy transfers in nonequilibrium CFT and asymptotics of non-local Riemann–Hilbert problems

A wide class of $$1+1$$ dimensional unitary conformal field theories allows for an explicit construction of nonequilibrium “profile states” interpolating smoothly between different equilibria on the left and on the right. It has been recently established that the generating function for the full counting statistics of energy transfers in such states may be expressed in terms of the solution to a non-local Riemann–Hilbert problem. Following earlier works on the statistics of energy transfers, in particular the ones of Bernard–Doyon on the “partitioning protocol” in conformal field theory, the full counting statistics of energy transfers in the profile states was conjectured to satisfy a large deviation principle in the limit of long transfer-times. The present paper establishes rigorously this conjecture by carrying out the long-time asymptotic analysis of the underlying non-local Riemann–Hilbert problem.