Minkowski Space and Quantum Mechanics

2022

There is no formal difference between particles and black holes. This formal similarity lies in the intersection of gravity and quantum theory; quantum gravity. Motivated by this similarity, 'wave-black hole duality' is proposed, which requires having a proper energy-momentum tensor of spacetime itself. Such a tensor is then found as a consequence of 'principle of minimum gravitational potential'; a principle that corrects the Schwarzschild metric and predicts extra periods in orbits of the planets. In search of the equation that governs changes of observables of spacetime, a novel Hamiltonian dynamics of a Pseudo-Riemannian manifold based on a vector Hamiltonian is adumbrated. The new Hamiltonian dynamics is then seen to be characterized by a new 'tensor bracket' which enables one to finally find the analogue of Heisenberg equation for a 'tensor observable' of spacetime.

2021

Plank confine energy in quanta and later Heisenberg gave space-time limitations. Schrodinger wave function Ψ express quantum oscillation and Born clarified this wave function |Ψ|2 as the probability of presence. Hypothesis of space, interprets the wave function Ψ as oscillatory space produced by the presence of quantized energy. Matter is confined in these quanta environment and its energetic space (quanta volume times its frequency) is related to surrounding space by Einstein equivalence principle. This theory develops a new way to interpret and integrate quantum mechanics with general relativity. Verifying the consistency of this quantumrelativistic interpretation, an explanation is given to the fundamental’s ideas, observations and experiments of Modern Physics.

It has been shown that the Lorentz transformations in special relativity can be derived in terms of the principle of relativity and certain properties of space and time such as homogeneity. In this paper, we argue that the free Schrodinger equation in quantum mechanics may also be regarded as a consequence of the homogeneity of space and time and the principle of relativity when assuming linearity of time evolution.

2011

D’Alembert’s and similar wave equations are not fundamental relations, but result from a continuity equation and internal dynamics. The continuity equation is considered to be an elementary persistent element in a ’permanently changing world’ (Heraclitus). Generalizing a reasoning by Euler, the principle of sufficient reason implies inertial motion in a homogeneous and isotropic space-time to be straight and uniform. For an empty as well as an homogeneously and isotropically filled universe, the principle of sufficient reason implies the universe to be spatially and temporarily homogeneous and isotropic (in agreement with Cusanus’ metaphysical arguing). With Euclidian metric, the coordinate transformation which leads ds invariant is not the Galileo, but the ’Cusanus transformation’, a rotation in R. The wave equation, however, corresponds to Minkowski’s metric. For physical (there is no Galileo space-time) and logical reasons (asymmetry of space and time coordinates), the Galileo tr...

The possibility that quantum mechanics is foundationally the same as classical theories in explaining phenomena in space and time is postulated. Such a view is motivated by interpreting the experimental violation of Bell inequalities as resulting from questions of geometry and algebraic representation of variables, and thereby the structure of space, rather than realism or locality. While time remains Euclidean in the proposed new structure, space is described by Projective geometry. A dual geometry facilitates description of a physically real quantum particle trajectory. Implications for the physical basis of Bohmian mechanics is briefly examined, and found that the hidden variables pilot-wave model is local. Conceptually, the consequence of this proposal is that quantum mechanics has common ground with relativity as ultimately geometrical. This permits the derivation of physically meaningful quantum Lorentz transformations. Departure from classical notions of measurability is discussed.

2021

In this paper, we investigate the ontological hypothesis, which implies that the spacetime is not the ultimate structure in our universe, and its existence emerges from a deeper physical entity. By using a very simple approach based on a classical problem, regarding the propagation of electromagnetic waves in empty vacuum. We were able to deduce that this deeper entity is just an omnipresent multi-rest states physical structure; aether. After that, we try to see how this ether fits in the universe that we exist in. The outcome is that its existence causes the emergence of some basic phenomena that our universe is built on. At the microscopic scale it turned out to be a source of the essential quantum phenomenon, which is currently known as the waveparticle duality. On the other hand, at the macroscopic scale it causes the emergence of spacetime curvature, around huge, massive objects like Earth. Finally, we consider a simple experiment that enables us to detect this ether, which is based on the concept of the conservation of linear momentum in nature, and the ontology of the inertial mass for the elementary particles.

1999

We survey some philosophical aspects of the search for a quantum theory of gravity, emphasising how quantum gravity throws into doubt the treatment of spacetime common to the two `ingredient theories' (quantum theory and general relativity), as a 4-dimensional manifold equipped with a Lorentzian metric. After an introduction, we briefly review the conceptual problems of the ingredient theories and introduce the enterprise of quantum gravity We then describe how three main research programmes in quantum gravity treat four topics of particular importance: the scope of standard quantum theory; the nature of spacetime; spacetime diffeomorphisms, and the so-called problem of time. By and large, these programmes accept most of the ingredient theories' treatment of spacetime, albeit with a metric with some type of quantum nature; but they also suggest that the treatment has fundamental limitations. This prompts the idea of going further: either by quantizing structures other than t...

2013

Metaphysics in Contemporary Physics, 2016

The aim of this paper is twofold. In the first part, it clarifies the nature of the wave function within the framework of the primitive ontology approach to quantum mechanics using the tools of ontic structural realism. In the second part, it critically discusses the primitive ontological move of postulating from the start matter localized in spacetime as the ultimate referent for quantum theory, in particular in the case where this latter is applied to the general relativistic gravitational field.

2005

We show how quantum mechanics can be understood as a space-time theory provided that its spatial continuum is modelled by a variable real number (qrumber) continuum. Such a continuum can be constructed using only standard Hilbert space entities. The geometry of atoms and subatomic objects differs from that of classical objects. The systems that are non-local when measured in the