Quantum mechanics is derived as an application of the method of maximum entropy. No
appeal is made to any underlying classical action principle whether deterministic or …

At what level of physical existence does" quantum behavior" begin? How does it develop
from classical mechanics? This book addresses these questions and thereby sheds light on …

In this paper, we present a mathematical derivation of the Schrödinger equation departing
from only two axioms. We also show that, using this formal derivation process, it is possible …

In a previous paper, we have mathematically derived the Schrödinger equation using the
construct of a Characteristic Function. We have shown that this derivation has a great …

Could all or part of our taken-as-established scientific conclusions, theories, experimental
data, ontological commitments, and so forth have been significantly different? Science as It …

In this paper we explore the mathematical and epistemological connections between the
stochastic derivation of the Schrödinger equation and the one proposed by ourselves in …

The recent discovery of fractional Taylor's series for nondifferentiable functions, f (x+ h)= Eα
(hαDxα) f (x), where Eα (⋅) denotes the Mittag-Leffler function, and Dxα is the so-called …

Stochastic derivations of the Schrödinger equation are always developed on very general
and abstract grounds. Thus, one is never enlightened which specific stochastic process …

Since the proposal of the Tsallis generalized entropy, the general explanation of the role
played by the parameter q that defines which specific entropy to pick among a whole family …

A remarkable feature of standard quantum mechanics is its analogy with classical fluid
dynamics. This has motivated in the past efforts to formulate phase-space techniques based …