In this paper we study in details a system of two weakly coupled harmonic oscillators from the point of view of Bohm's interpretation of quantum mechanics. This system may be viewed as a simple model for the interaction between a photon and a photodetector. We obtain exact solutions for the general case. We then compute approximate solutions for the case where one oscillator is initially in its first excited state (a single photon) reaching the other oscillator in its ground state (...) (the photodetector). The approximate solutions represent the state of both oscillators after the interaction, which is not an eigenstate of the individual hamiltonians for each oscillator, and therefore the energies for each oscillator do not exist in the Copenhagen interpretation of Quantum Mechanics. We use the approximate solutions that we obtained to compute Bohmian trajectories and to study the energy transfer between the oscillators. We conclude that, even using the Bohmian view, the energy of each individual oscillator is not well defined, as the nonlocal quantum potential is not negligible even after the coupling is turned off. (shrink)

In this paper we study in details a system of two weakly coupled harmonic oscillators from the point of view of Bohm’s interpretation of quantum mechanics. This system may be viewed as a simple model for the interaction between a photon and a photodetector. We obtain exact solutions for the general case. We then compute approximate solutions for the case where one oscillator is initially in its first excited state (a single photon) reaching the other oscillator in its ground state (...) (the photodetector). The approximate solutions represent the state of both oscillators after the interaction, which is not an eigenstate of the individual hamiltonians for each oscillator, and therefore the energies for each oscillator do not exist in the Copenhagen interpretation of Quantum Mechanics. We use the approximate solutions that we obtained to compute Bohmian trajectories and to study the energy transfer between the oscillators. We conclude that, even using the Bohmian view, the energy of each individual oscillator is not well defined, as the nonlocal quantum potential is not negligible even after the coupling is turned off. (shrink)

IntroductionTranscranial magnetic stimulation is a consolidated procedure for the treatment of depression, with several meta-analyses demonstrating its efficacy. Theta-burst stimulation is a modification of TMS with similar efficacy and shorter session duration. The geriatric population has many comorbidities and a high prevalence of depression, but few clinical trials are conducted specifically for this age group. TBS could be an option in this population, offering the advantages of few side effects and no pharmacological interactions. Therefore, our aim is to investigate the (...) efficacy of TBS in geriatric depression.Clinical trial registration[https://clinicaltrials.gov/ct2/], identifier [NCT04842929]. (shrink)

The Upanishads reveal that in the beginning, nothing existed: “This was but non-existence in the beginning. That became existence. That became ready to be manifest”. (Chandogya Upanishad 3.15.1) The creation began from this state of non-existence or nonduality, a state comparable to (0). One can add any number of zeros to (0), but there will be nothing except a big (0) because (0) is a neutral number. If we take (0) as Nirguna Brahman (God without any form and attributes), then (...) from where and how did the universe come into existence? -/- The neutral power (0) cannot produce anything without having an element of duality in it. Although Nirguna Brahman is neutral, it has a positive, negative, and neutral pole, constituting its Prakriti or nature. Prakriti has three latent Gunas (modes or qualities): Satva, Rajas, and Tamas. They are related to Gyana Shakti (the power of knowledge) Sankalpa Shakti (the power of ideation), and Kriya Shakti (the power of action). Science says that Atom is the basic element from which the universe evolved. The Atom has three nuclei- electron, pluton, and neutron. The Satva, Rajas, and Tamas in Indian spirituality are nothing but the mystical names for the nuclei of an atom. -/- According to Bhagavata Purana, Prakriti is also constituted of the elements of Time, Karma (action/destiny) and Swabhava (innate nature). Time disturbs the equilibrium of Gunas. From the aspect of Karma is produced an entity called Mahat, in the form of intelligence. Mahat is dominated by Satva and Rajas. From Mahat manifests the next evolute dominated by Tamas with three predominant qualities – Dravya (substance), Kriya (action), as well as intelligence. It forms to become the Ego principle (Ahamkara). -/- Ahamkara has three modes – Satvic, Rajasic and Tamasic. Satvic is Jnana oriented, Rajasic action-oriented and Tamasic Dravya (substance) oriented. From the Tamasic Ahankara, five gross elements are produced (ether, air, fire, water, and earth - Akash, Vayu, Agni, Jal and Prithvi). From the Satvic Ahamkara, guardian deities (the sun and moon, deities of sense organs, and organs of action) and from Rajasic Ahamkara, ten senses (Indriyas), five senses of perception, five organs of action, the faculties of intellect and Prana (life breath) are produced. -/- Bhagavata says that since these energies, elements, and faculties remained disassociated, they were combined to form a Cosmic Egg. The egg floats in the primal waters for a thousand years. Then God enters this Cosmic Egg and manifests himself as the Cosmic Purusha. He is the first nucleus, the God particle equivalent to the number (1) which is the embodiment of everything in the universe. The concept of creation and dissolution in Hinduism can be compared to the waves in an ocean that appear and disappear incessantly. The Manvantaras are such successive episodes of creation emerging from the Cosmic Person, the Manu who is embodied God-Consciousness, God himself. These episodes of creation are measured in Hinduism in terms of Manvantaras, the epochs of Manus. -/- Manu is the ‘First-Born’ (1) of God, the Cosmic Purusha from whom the world has originated. This Cosmic Person (Purusha) has been described as having fourteen biospheres (heavens) that are inhabited by various life forms in the order of evolution of consciousness. If we begin from the human biosphere (Bhuloka), there are ten astral biospheres that a man must transcend to attain liberation or Mukti from the cycle of births and deaths. -/- The number (1) produces the primary numbers up to (9) through the transmutation of the creational energies and qualities. The process can be related to the descent and cyclical evolution of (1) through ten spiritual stages, finally merging with the nondual (0). The number (10) marks the merger of (1) with (0). The Hindu worldview is that all life forms in an episode of creation must evolve to become one with the non-dual state (0) to attain liberation from the cycle of births and deaths in a cyclical process. -/- . (shrink)

A woman and a man desire to come together stirred by the primal fire of Kama and the man deposits his egg in the womb of the woman. This egg develops into a human undergoing nine or ten months of evolution. This process is the microscopic replication of the method evolved by God to create the universe. Rigveda (10.121) mentions Hiranyagarbha, the Golden Egg as the source of the creation of the universe. It is said that God, wishing to create (...) the world, produced an egg as big as the cosmos. God meditated for a thousand years sitting inside the egg and when the egg burst, the Lord himself was born out of the egg as the Progenitor of the universe (“He made Himself by Himself.”, Taitiriya Upanishad: 2.7.1). The Rishis called the Egg Brahmanda (the Cosmic Egg), and the Progenitor Manu. Scientists have discovered that the universe has an oval shape. Like the nine months of the evolution of the human egg, the Cosmic Egg also undergoes nine stages of evolution before it gets dissolved during what we call ‘Maha Pralaya’. The Puranas mention that Brahmanda has 14 biospheres, seven nether and seven upper inhabited by different types of souls. If we count from the human world, there are ten dimensions of consciousness. Rishis called these astral biospheres Mandalas/Lokas with different wavelengths and colours. Sri Karunakara Guru referred to them as Avasthas, or spiritual stages. The Buddhists and Hindu esoteric sects such as the Theosophical Society explain these levels of the Absolute in terms of Physical plane, Astral plane, Mental plane, Buddhic plane, Atmic plane, Anupadaka plane, Adi plane and Shiv and Shakti. These Avasthas are related to the expanding consciousness reaching up to the core of the Cosmic Egg, the Paramatma. Like a spider which creates a web around it sitting in the centre, and withdraws it in the end, Paramatma creates and withdraws webbed multi-dimensional universes. Nobody can say when it started and when it will end as it is a beginningless and endless process. (shrink)

India has produced several drafts of data policies. In this work, they are referred to [1] JBNSCR 2018, [2] DPDPR 2018, [3] NSAI 2018, [4] RAITF 2018, [5] PDPB 2019, [6] PRAI 2021, [7] JPCR 2021, [8] IDAUP 2022, [9] IDABNUP 2022. All of them consider Artificial Intelligence (AI) a social problem solver at the societal level, let alone an incentive for economic growth. However, these policy drafts warn of the social disruptions caused by algorithms and encourage the careful use (...) of computational technologies in various social contexts. Hence, the emerging data society and its implications in India's social contexts demand immense social science attention, which needs to be improved in the policy drafts, primarily because they are creations of industry stakeholders, technocrats, bureaucrats, and experts from tech schools. In the larger social milieu of digital infrastructure emerging, the fundamental question is whether India's national philosophy envisioned in the Indian constitution is reflected in the policy papers. The paper enquires whether the national data policy upholds the core values dispersed through the philosophy of the Indian constitution, which, among other things, is not confined only to inclusion, diversity, rights, liberty, justice and equality. By focusing on constitutional values, the paper seeks to offer a broader and more critical understanding of India's approach to AI policy by bringing together analyses of a wide array of policy documents available in the public realm. (shrink)

According to the causal interpretation of quantum mechanics, one can precisely define the state of an individual particle in a many-body system by its position, momentum, and spin. It is shown in the EPR spin experiment that the quantum torque brings about an instantaneous change in the state of one of the particles when the other undergoes a local interaction, but that such a transfer of “information” cannot be extracted by any experiment subject to the laws of quantum mechanics.

It was shown by de Broglie and Bohm that the concept of a deterministic particle trajectory is compatible with quantum mechanics. It is demonstrated by explicit construction that there exists another more general deterministic trajectory interpretation. The method exploits an internal angular degree of freedom that is implicit in the Schrödinger equation, in addition to the particle position. The de Broglie-Bohm model is recovered when the new theory is averaged over the internal freedom. The model exhibits a strong form of (...) entanglement which implies a primary role for the wavefunction of the Universe. The conditions of autonomy are examined, and the viability of the theory is established by application to the measurement problem. (shrink)

The geometrical structures implicit in the de Broglie waves associated with a relativistic charged scalar quantum mechanical particle in an external field are analyzed by employing the ray concept of the causal interpretation. It is shown how an osculating Finslerian metric tensor, a torsion tensor, and a tetrad field define respectively the strain, the dislocation density, and the Burgers vector in the “natural state” of the wave, which is a non-Riemannian space of distant parallelism. A quantum torque determined by the (...) quantum potential is introduced and the example of a screw dislocated wave is discussed. (shrink)

Background: According to the Declaration of Helsinki, patients who take part in a clinical trial must be adequately informed about the trial's aims, methods, expected benefits, and potential risks. The declaration does not, however, elaborate on what “adequately informed” might amount to, in practice. Medical researchers and Local Research Ethics Committees attempt to ensure that the information which potential participants are given is pitched at an appropriate level, but few studies have considered whether the patients who take part in such (...) trials feel they have been given adequate information, or whether they feel able to understand that information.Objectives: To explore trial participants' views on the amount of information provided, and of their own understanding of that information.Design: Structured interviews of patients participating in clinical trials for the treatment of chronic medical condition.Findings: Patients generally felt they were given an appropriate amount of information, and that they were able to understand all or most of it. They felt they were given adequate time to ask questions before agreeing to take part. In comparison with treatment given outwith the research setting, patients generally felt they received more information when participating in a clinical trial.Conclusions: Researchers sometimes complain that patients are given too much information during clinical trials, and have limited understanding of that information. The present study shows that this perception is not necessarily shared by patients. More research is needed in this area, particularly to gauge whether patient understanding is indeed accurate. (shrink)

Several cases which have been considered by the courts in recent years have highlighted the legal dilemmas facing doctors whose decisions result in the ending of a patient's life. This paper considers the case of Dr Cox, who was convicted of attempting to murder one of his patients, and explores the roles of motive, diminished responsibility and consent in cases of "mercy killing". The Cox decision is compared to that of Tony Bland and Janet Johnstone, in which the patients were (...) in a persistent vegetative state. In all three cases, the doctors believed that their patients' quality of life was so poor that their continued existence was of no benefit to them, and decided that their lives should not be unduly prolonged, yet the doctor who was prosecuted was the one whose dying patient had requested that her death be hastened. The paper examines the law's seemingly contradictory approaches to such cases. (shrink)

We discuss the application of the de Broglie-Bohm theory of relativistic spin-1/2 particles to the Klein paradox andzitterbewegung.

At the beginning of the twentieth century in the Russian-speaking philosophical space philosophical projects emerged which brought ontology and gnoseology closer together. One can observe this process, for example, in the philosophical doctrines of the Russian intuitivists Nikolay Lossky and Semyon Frank. I demonstrate that the emergence of these doctrines and the development of their onto-gnoseological categorial apparatus were mainly connected with the criticism of the Neo-Kantian theory of cognition and the possibility of transcendent knowledge as such. The main sources (...) of my study are The Intuitive Basis of Knowledge and The World as an Organic Whole by N. O. Lossky and The Object of Knowledge and The Unknowable by S. L. Frank. My investigation makes it possible to treat Lossky’s categorial framework as the representation of a system of levels of the universe each of which is characterised by two aspects: the ontological, i.e. it is part of the unity of the world, and the gnoseological, i.e. it has an independent cognitive significance. Frank considers categories to be an organic part of the ontological proof of intuitivism. A common trend in the construction of categorial schemes by Lossky and Frank is their striving to combine gnoseological and ontological descriptions of categories. The key difference is the way an onto-gnoseological system as a whole is justified. In revealing the contradictions in Lossky’s conception, I proceed from the critical remarks of S. A. Askoldov, pointing out that these contradictions stem from an absolutisation of intuition in cognition, the renunciation of the idea of gnoseological transcendence, incompleteness of the theory of immanence and discordance between onto-gnoseological categories. Askoldov’s critical comments clarify the substantive features of Lossky’s theory and the essence of the transformations carried out in Frank’s absolute ideal-realism. (shrink)

In support of a recent conjecture by Nielsen (1999), we prove that the phenomena of ‘incomparable entanglement’— whereby, neither member of a pair of pure entangled states can be transformed into the other via local operations and classical communication (LOCC)—is a generic feature when the states at issue live in an infinite-dimensional Hilbert space.  2002 Elsevier Science B.V. All rights reserved.

The Bell–Kochen–Specker theorem shows that, in any Hilbert space of dimension of at least 3, it is impossible to assign noncontextual definite values to all observables in such a way that the quantum-mechanical predictions are reproduced. This leaves open the issue of what subsets of observables may be assigned definite values. Clifton has shown that, for a system of at least two continuous degrees of freedom, it is not possible to assign simultaneous noncontextual values to two coordinates and their conjugate (...) momenta. In this Letter, it is shown that, for a system of a single continuous degree of freedom, it is not possible to assign noncontextual values to the coordinate and its conjugate momenta that satisfy a continuity assumption herein called the ‘ -Product Rule’.  2002 Elsevier Science B.V. All rights reserved. (shrink)

We analyze phase-space approaches to relativistic quantum mechanics from the viewpoint of the causal interpretation. In particular, we discuss the canonical phase space associated with stochastic quantization, its relation to Hilbert space, and the Wigner-Moyal formalism. We then consider the nature of Feynman paths, and the problem of nonlocality, and conclude that a perfectly consistent relativistically covariant interpretation of quantum mechanics which retains the notion of particle trajectory is possible.