Towards a Nonlinear Quantum Physics

Croca, J. R.

doi:10.1142/9789812776334

Cited by 7 publications

(4 citation statements)

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“…The original pilot-wave model de Broglie envisaged was refined many years later [2] with the very substantial modification of replacing the usual sine and cosine waves used in Fourier common analysis by Morlet wavelets [3] [4] [5] [6]. A wavelet is then employed as a possible and convenient formal representation of a finite subquantum perturbation, reducing to the usual harmonic plane wave once the associated σ parameter, representing the wavelet spatial extension, becomes very large.…”

Section: Introduction: From De Broglie Pilot-wave Theory To a Pilot-wmentioning

confidence: 99%

Spacetime as an Emergent Phenomenon: A Possible Way to Explain Entanglement and the Tunnel Effect

Castro¹,

Gatta²,

Croca³

et al. 2018

JAMP

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Entanglement and the tunnel effect phenomena have been repeatedly observed and are generically accepted under orthodox quantum mechanics formalism. However, they remain rather inexplicable in the context of spacetime usual conceptualization. In the present work, we suggest an alternative quantum mechanics formalism, refining the pilot-wave theory initially proposed by de Broglie. We suggest that spacetime is an emergent phenomenon from a prior subquantum medium and that entanglement and the tunnel effect can be explained in terms of a nonlinear relation between space and time that is imposed by subquantum waves.

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Section: Introduction: From De Broglie Pilot-wave Theory To a Pilot-wmentioning

confidence: 99%

Spacetime as an Emergent Phenomenon: A Possible Way to Explain Entanglement and the Tunnel Effect

Castro¹,

Gatta²,

Croca³

et al. 2018

JAMP

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“…The definition and properties of the nonlinear master Schrödinger equation have been discussed in the recent letters [1][2][3][4][5][6] which ignored some aspects, such as relativity, spin of particle, and the interaction term. In this paper, we have discussed that the construction for the relativistic motion of particle can be built by the same analogy in derivation of nonlinear master Schrödinger with the additional terms, called quantum potentials.…”

Section: Introductionmentioning

confidence: 99%

“…In the recent letters [1][2][3][4][5][6] , which is summarized some of the present works, the nonlinear master Schrödinger was built from two classical balance equations, the Hamilton-Jacobi and continuity equations, which assumed that those two equations were still hold in the microscopic level. In ordinary Klein-Gordon equation, it is built by combination between two important postulates in ordinary quantum mechanics and the relativistic energy equation.…”

Section: Introductionmentioning

confidence: 99%

Gauge Invariance of Nonlinear Klein-Gordon

Prayitno¹

2013

positron

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We have discussed the gauge invariance of nonlinear Klein-Gordon equation which describes the interaction of electromagnetic initially proposed by Hermann Weyl. The construction of nonlinear Klein-Gordon itself is formulated by two classical conservation laws, Hamilton-Jacobi of relativistic motion and continuity equations. Generally, this equation takes the similar concept to the derivation of the nonlinear master Schrödinger ignoring two fundamental concepts in ordinary quantum mechanics, Einstein and de Broglie’s postulates. In this paper, the proposing for general form of nonlinear Klein-Gordon including the external potential and its gauge invariance have been established. However, we have to ignore the external potential in order to satisfy gauge invariance. In addition, we also prove the derivation of nonlinear Dirac equation for including half-integer spin concept can not hold by similar derivation.

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“…In this paper we recall his pioneering work, which, unfortunately, only recently reach my hands due to the difficulty in finding the original papers. Some more recent works (3) done by myself and other researchers (4) on the subject are also here reviewed.…”

Section: Introductionmentioning

confidence: 99%

De Broglie Tired Light Model and the Reality of the Quantum Waves

Croca

2004

Found Phys

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In the early 1960s of the 20th century de Broglie was able to explain the cosmological observable red shift, without ad hoc assumptions. Starting from basic quantum considerations he developed his tired light model for the photon. This model explains in a single and beautiful causal way the cosmological redshift without need of assuming the Big Bang and consequently a beginning for the universe. Evidence coming from Earth sciences seems also to confirm these ideas and furthermore concrete proposal of laboratorial scale experiments that can test the model are reviewed.KEY WORDS: fundamental quantum physics; nonlinear quantum physics; local wavelet analysis; de Broglie tired light model; cosmological redshift; de Broglie cosmological aging constant.

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Towards a Nonlinear Quantum Physics

Cited by 7 publications

References 0 publications

Spacetime as an Emergent Phenomenon: A Possible Way to Explain Entanglement and the Tunnel Effect

Spacetime as an Emergent Phenomenon: A Possible Way to Explain Entanglement and the Tunnel Effect

Gauge Invariance of Nonlinear Klein-Gordon

De Broglie Tired Light Model and the Reality of the Quantum Waves

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