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Profile: Shan Gao (Institute for the History of Natural Sciences, Chinese Academy of Sciences)
  1. Shan Gao, An Exceptionally Simple Argument Against the Many-Worlds Interpretation.
    It is shown that the superposed wave function of a measuring device, in each branch of which there is a definite measurement result, does not correspond to many mutually unobservable but equally real worlds, as the superposed wave function can be observed in our world by protective measurement.
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  2. Shan Gao, Comment on "How to Protect the Interpretation of the Wave Function Against Protective Measurements" by Jos Uffink.
    It is shown that Uffink's attempt to protect the interpretation of the wave function against protective measurements fails due to several errors in his arguments.
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  3. Shan Gao, Derivation of the Schrödinger Equation.
    It is shown that the heuristic "derivation" of the Schrödinger equation in quantum mechanics textbooks can be turned into a real derivation by resorting to spacetime translation invariance and relativistic invariance.
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  4. Shan Gao, Derivation of the Meaning of the Wave Function.
    We show that the physical meaning of the wave function can be derived based on the established parts of quantum mechanics. It turns out that the wave function represents the state of random discontinuous motion of particles, and its modulus square determines the probability density of the particles appearing in certain positions in space.
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  5. Shan Gao, Meaning of the Wave Function.
    We investigate the meaning of the wave function by analyzing the mass and charge density distributions of a quantum system. According to protective measurement, a charged quantum system has effective mass and charge density distributing in space, proportional to the square of the absolute value of its wave function. In a realistic interpretation, the wave function of a quantum system can be taken as a description of either a physical field or the ergodic motion of a particle. The essential difference (...)
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  6. Shan Gao, Notes on the Reality of the Quantum State.
    Based on an analysis of protective measurements, we show that the quantum state represents the physical state of a single quantum system. This result is more definite than the PBR theorem [Pusey, Barrett, and Rudolph, Nature Phys. 8, 475 (2012)].
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  7. Shan Gao, Protective Measurement and the de Broglie-Bohm Theory.
    We investigate the implications of protective measurement for de Broglie-Bohm theory, mainly focusing on the interpretation of the wave function. It has been argued that the de Broglie-Bohm theory gives the same predictions as quantum mechanics by means of quantum equilibrium hypothesis. However, this equivalence is based on the premise that the wave function, regarded as a Ψ-field, has no mass and charge density distributions. But this premise turns out to be wrong according to protective measurement; a charged quantum system (...)
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  8. Shan Gao, Protective Measurement and the Meaning of the Wave Function.
    This article analyzes the implications of protective measurement for the meaning of the wave function. According to protective measurement, a charged quantum system has mass and charge density proportional to the modulus square of its wave function. It is shown that the mass and charge density is not real but effective, formed by the ergodic motion of a localized particle with the total mass and charge of the system. Moreover, it is argued that the ergodic motion is not continuous but (...)
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  9. Shan Gao, The Basis of Indeterminism.
    We show that the motion of particles may be essentially discontinuous and random.
     
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  10. Shan Gao, Three Possible Implications of Spacetime Discreteness.
    We analyze the possible implications of spacetime discreteness for the special and general relativity and quantum theory. It is argued that the existence of a minimum size of spacetime may explain the invariance of the speed of light in special relativity and Einstein’s equivalence principle in general relativity. Moreover, the discreteness of spacetime may also result in the collapse of the wave function in quantum mechanics, which may provide a possible solution to the quantum measurement problem. These interesting results might (...)
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  11. Shan Gao, The Wave Function and Its Evolution.
    The meaning of the wave function and its evolution are investigated. First, we argue that the wave function in quantum mechanics is a description of random discontinuous motion of particles, and the modulus square of the wave function gives the probability density of the particles being in certain locations in space. Next, we show that the linear non-relativistic evolution of the wave function of an isolated system obeys the free Schrödinger equation due to the requirements of spacetime translation invariance and (...)
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  12. Shan Gao, The Wave Function and Particle Ontology.
    In quantum mechanics, the wave function of a N-body system is a mathematical function defined in a 3N-dimensional configuration space. We argue that wave function realism implies particle ontology when assuming: (1) the wave function of a N-body system describes N physical entities; (2) each triple of the 3N coordinates of a point in configuration space that relates to one physical entity represents a point in ordinary three-dimensional space. Moreover, the motion of particles is random and discontinuous.
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  13. Shan Gao, Why the de Broglie-Bohm Theory is Probably Wrong.
    We investigate the validity of the field explanation of the wave function by analyzing the mass and charge density distributions of a quantum system. It is argued that a charged quantum system has effective mass and charge density distributing in space, proportional to the square of the absolute value of its wave function. This is also a consequence of protective measurement. If the wave function is a physical field, then the mass and charge density will be distributed in space simultaneously (...)
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  14. Shan Gao, Why Gravity is Not an Entropic Force.
    The remarkable connections between gravity and thermodynamics seem to imply that gravity is not fundamental but emergent, and in particular, as Verlinde suggested, gravity is probably an entropic force. In this paper, we will argue that the idea of gravity as an entropic force is debatable. It is shown that there is no convincing analogy between gravity and entropic force in Verlinde’s example. Neither holographic screen nor test particle satisfies all requirements for the existence of entropic force in a thermodynamics (...)
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  15. Shan Gao, What Quantum Mechanics Describes is Discontinuous Motion of Particles.
    We present a theory of discontinuous motion of particles in continuous space-time. We show that the simplest nonrelativistic evolution equation of such motion is just the Schroedinger equation in quantum mechanics. This strongly implies what quantum mechanics describes is discontinuous motion of particles. Considering the fact that space-time may be essentially discrete when considering gravity, we further present a theory of discontinuous motion of particles in discrete space-time. We show that its evolution will naturally result in the dynamical collapse process (...)
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  16. Shan Gao (2013). A Quantum Physical Argument for Panpsychism. Journal of Consciousness Studies 20 (1-2):1 - 2.
    It has been widely thought that consciousness has no causal efficacy in the physical world. However, this may be not the case. In this paper, we show that a conscious being can distinguish definite perceptions and their quantum superpositions, while a physical measuring system without consciousness cannot distinguish such nonorthogonal quantum states. The possible existence of this distinct quantum physical effect of consciousness may have interesting implications for the science of consciousness. In particular, it suggests that consciousness is not emergent (...)
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  17. Shan Gao (2013). Does Gravity Induce Wavefunction Collapse? An Examination of Penrose's Conjecture. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44 (2):148-151.
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  18. Shan Gao (2013). On Uffink's Criticism of Protective Measurements. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44 (4):513-518.
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  19. Shan Gao, An Exceptionally Simple Argument Against the Many-Worlds Interpretation: Further Consolidations.
    It is argued that the components of the superposed wave function of a measuring device, each of which represents a definite measurement result, do not correspond to many worlds, one of which is our world, because all components of the wave function can be measured in our world by a serious of protective measurements, and they all exist in this world.
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  20. Shan Gao, Comment on "Distinct Quantum States Can Be Compatible with a Single State of Reality".
    Lewis et al. recently demonstrated that additional assumptions such as preparation independence are always necessary to rule out a psi-epistemic model, in which the quantum state is not uniquely determined by the underlying physical state. Here we point out that these authors ignored the important work of Aharonov, Anandan and Vaidman on protective measurements, and their conclusion, which is based only on an analysis of conventional projective measurements, is not true.
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  21. Shan Gao, On the Invariance of the Speed of Light.
    It has been argued that the existence of a minimum observable interval of space and time (MOIST) is a model-independent result of the combination of quantum field theory and general relativity. In this paper, I promote this result to a fundamental postulate, called the MOIST postulate. It is argued that the postulate leads to the existence of a maximum signal speed and its invariance. This new result may have two interesting implications. On the one hand, it suggests that the MOIST (...)
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  22. Shan Gao, On the Origin of Gravity.
    It is argued that the existence of a minimum interval of space and time may imply the existence of gravity as a geometric property of spacetime described by general relativity.
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  23. Shan Gao, On Uffink's Alternative Interpretation of Protective Measurements.
    Protective measurement is a new measuring method introduced by Aharonov, Anandan and Vaidman (1993). By a protective measurement, one can measure the expectation value of an observable on a single quantum system, even if the system is initially not in an eigenstate of the measured observable. This remarkable feature of protective measurements was challenged by Uffink (1999, 2012). He argued that only observables that commute with the system's Hamiltonian can be protectively measured, and a protective measurement of an observable that (...)
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  24. Shan Gao (2008). A Quantum Theory of Consciousness. Minds and Machines 18 (1):39-52.
    The relationship between quantum collapse and consciousness is reconsidered under the assumption that quantum collapse is an objective dynamical process. We argue that the conscious observer can have a distinct role from the physical measuring device during the process of quantum collapse owing to the intrinsic nature of consciousness; the conscious observer can know whether he is in a definite state or a quantum superposition of definite states, while the physical measuring device cannot “know”. As a result, the consciousness observer (...)
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  25. Shan Gao (2008). God Does Play Dice with the Universe. Arima Pub..
    Science has made a mighty advance since it originated in ancient Greece more than 2500 years ago. Yet we still live in Plato's cave today; we think everything around us moves continuously, but continuous motion is merely a shadow of real motion. This book will lead you to walk out the cave along a logical and comprehensible road. After passing Zeno's arrow, Newton's inertia, Einstein's light, and Schrodinger's cat, you will reach the real world, where every thing in the universe, (...)
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  26. Shan Gao (2006). A Model of Wavefunction Collapse in Discrete Space-Time. International Journal of Theoretical Physics 45 (10):1965-1979.
    We give a new argument supporting a gravitational role in quantum collapse. It is demonstrated that the discreteness of space-time, which results from the proper combination of quantum theory and general relativity, may inevitably result in the dynamical collapse of thewave function. Moreover, the minimum size of discrete space-time yields a plausible collapse criterion consistent with experiments. By assuming that the source to collapse the wave function is the inherent random motion of particles described by the wave function, we further (...)
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  27. Shan Gao (2004). A Possible Connection Between Quantum and Self-Consciousness. Axiomathes: An International Journal in Ontology and Cognitive Systems 14 (4):295-305.
     
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  28. Shan Gao (2003). A Possible Quantum Basis of Panpsychism. NeuroQuantology 1 (1):4-9.
    We show that consciousness may violate the basic quantum principle, according to which the nonorthogonal quantum states can't be distinguished. This implies that the physical world is not causally closed without consciousness, and consciousness is a fundamental property of matter.
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