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 Modi-God Dialogues” by Mukundan PR begins with the story of Mahatma Modi, a saint troubled by the issues facing his country and the direction the world was taking. The book discusses a profound spiritual perspective, in the form of a dialogue with God, rooted in the teachings of Navajyoti Sri Karunakara Guru, that addresses the mystery of existence, the divine plan for the evolution of life, and the spiritual decline of humanity. According to this view, human life and the (...) universe are intertwined in a grand spiritual scheme that must be unraveled for one's life to gain true meaning and peace. Guru's teachings emphasize the importance of rediscovering this divine order, or God’s Will, and the consequences of humanity's deviation from it. -/- The book explores the fundamental basis of Hindu Dharma, contrasting the traditional view of the Trimurti (Brahma, Vishnu, and Shiva) as creators with the concept of Manu as the supreme Creator in Hindu philosophy. According to Navajyoti Sri Karunakara Guru, the Trimurti system, which gained prominence during the seventh Chatur Yuga of the current Vaivasvata Manvantara, has overshadowed the original understanding of Manu as the true Creator. Historically, Manu was regarded as the architect of creation, and the concept of time and space was linked to him through the Manvantaras. The idea of Brahma being the Creator, which gained traction through the Puranas, represents a distortion in Hindu spirituality. The Puranic tradition, which is largely focused on temple rituals, priestcraft, and the worship of deities like Shiva, Vishnu, and others, deviates from the original monotheistic vision of Sanatana Dharma. -/- The Guru critiques the shift in Hinduism from a Manu-centric system, guided by epochal Gurus (Kalanthara Gurus), to one centered around the Trimurti and devata worship. The spiritual administration of Manu Parampara, which focuses on universal and timeless truths, has been sidelined in favor of Puranic traditions that emphasize ritualistic worship. This shift led to the rise of caste-based divisions and priestly monopolies, distorting the true essence of Hindu Dharma. The Guru emphasizes that the goal of Hindu spirituality should not be limited to ritualistic worship but should focus on higher spiritual realization, mukthi (liberation), which can only be attained through the guidance of a realized Guru within the Manu Parampara. In essence, the basis of Hindu Dharma is not the Trimurti but Manu, the Cosmic Purusha, who is the true Creator according to the Vedic and Upanishadic teachings. The Guru calls for a return to this original understanding and highlights the importance of following the path of Kalanthara Gurus for spiritual evolution and liberation. -/- . (shrink)

This paper argues that, contrary to the claims of Alan Chalmers, Boyle understood his experimental work to be intimately related to his mechanical philosophy. Its central claim is that the mechanical philosophy has a heuristic structure that motivates and gives direction to Boyle's experimental programme. Boyle was able to delimit the scope of possible explanations of any phenomenon by positing both that all qualities are ultimately reducible to a select group of mechanical qualities and that all explanations of natural phenomena (...) are to be in terms of the operations of machines and are to appeal only to qualities that are already familiar. This is illustrated by his investigations into the Torricellian experiment. Boyle's explanation of the elevation of the mercurial cylinder by appeal to the spring of the air was an intermediate mechanical explanation. Boyle was convinced that the spring of the air was ultimately reducible to the mechanical qualities. This in turn had implications for his research into the cause of respiration. In a move that was both parsimonious and consistent with the broad requirements of the mechanical philosophy, Boyle was able to solve the problem of the cause of the inflow of air into the lungs by appeal to his research in pneumatics. This application of a mechanical explanation in pneumatics to physiology is just what one would expect if the mechanical philosophy was as universal as Boyle claimed it to be. Therefore, far from Boyle's experiments having a life of their own, they were clearly directed by and understood in terms of the mechanical philosophy. (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.