TFNR - Wavefunctions and the physical meaning of Schrodinger equation
Wavefunctions are complex-valued mathematical descriptions of the quantum states of quantum systems. The squared modulus of a wavefunction converts complex probability amplitudes into actual probabilities (probability density of observing a particle in a given position).
The Schrodinger equation is a partial differential equation that governs the evolution of the wavefunction of an isolated quantum system / object in time and space. This equation plays the role of Newton's laws and conservation of energy in classical mechanics in predicting the future behavior of a dynamic system, which is not individually determined, but can only be espressed as probabilities of a large number of events or outcomes. It gives the quantized energies of the system and the form of the wavefunction, with which the other properties can be calculated.
Following the proposals formulated here, we hypothesize that wavefunctions do not provide much, or only, for example, the probability of finding the particle in a point of spacetime.
In short, focusing on the most relevant aspects, according to the hypotheses proposed in this work, we do not consider wavefunctions and the Schrodinger equation as abstract mathematical formulations disconnected from objective physical reality, but as "physical" representations of what actually happens in the Elementary Field and to the Structures of Information that evolve within it.
What we hypothesize is that wavefunctions provide the distribution of the InfoStructures in spacetime, and the probability of finding their Action Centers (or specific centers related to the Modes / Components of the Elementary Action (Perturbation, Translation, Rotation:Chirality and Rotation:AxisOrientation) -> Geometric Center, Mass Center, Momentum Center or Motion, Center of Charge, Central Axis of Spin, etc.).
The probability of observing the particle in a precise position derives indirectly from the distribution of the particle in the area considered by the wave function and from the probability of the position of the Center of Action of the particle (and the cited specific centers, which become relevant in the case of interactions / observations / measurements which insist on a particular physical quality, e.g. geometric center in the case of position measurement, Charge Center in the case of electric charge measurement, or measurement that uses electrical interaction, Spin centralaxis in the case of Spin measurement).
We are referring here to a fundamental concept that allows us to connect the level of the "dynamics of the event points / portions of InfoStructures" (e.g. particle, electron) with the level of "interactions between InfoStructures" (e.g. interaction between the observed particle and the particle(s) used for the measurement, which is part of the measurement apparatus, with the level of "the result of the measurement itself" (e.g. position of the observed particle). We therefore speak of the "Action Centers" of the InfoStructure (or the specific centers).
Given the poor ability of our research equipment to resolve in detail (not destroying the setting in an explosion of energy as in high-energy collisions, but as for example a sub-atomic, sub-particle scale tomography) space-time dimensions / distances smaller than those of the quantum objects investigated (not the internal parts, for example the quarks that we are somehow able to observe, as in the case of composite particles such as protons and neutrons ), we cannot "see" points and portions of the Structures in the case of "elementary" particles, such as the electron or photon/an e.m. wave cycle). We are talking about infinitely small size scales (from 10^-15 to 10^-35 meters).
When two particles approach and interact, we only see, so to speak, a macro event (like two point particles, concentrated in their respective Centers of Action (again Geometric Center, Mass Center, Charge Center, etc.). We do not see everything that it happens in this immense range of dimensional levels, which, as mentioned, is fundamental to understanding the strangeness of quantum phenomena. We observe the particle in a precise position, or we measure its momentum (mass times velocity), its Charge, its Spin, and we don't realize that it's like measuring the temperature of the air in a box.
We obtain a statistical result of the collective behavior of an immensity of subcomponents, of subsystems, which we do not see and of which we are not aware. Here we are not talking about components, subsystems, parts in the common sense, but points, space-time portions, each with its own dynamics:
- indeterminate part: the random fluctuation of the Elementary Field, to use known expressions : quantum vacuum fluctuations, zero point energy,
- determined part:
- at the level of the Field: the potentials present, e.g. gravitational, electric, magnetic potential, etc.,
- at the level of the InfoStructures present in the Field: "Geometric" spatial form, Mass, Motion, Charge, Spin, etc.
A measurement, an observation that implies an interaction, an exchange of Action, of Information / Energy, provides us with an instantaneous statistical vision (a state) of a portion of a structured Elementary Field (which at the instant of measurement supports an InfoStructure) . A "statistical" vision, the result of the collective behavior of point/portion processes that are partially indeterministic (stochastic Field dynamics -> probability) and partially deterministic (Field potentials and physical quantities of InfoStructure -> deterministic evolution of quantum states -> Schrodinger equation ).
Therefore, in our ignorance of the fundamental nature of the Elementary Field, of the dynamics of Elementary Action and Information, of the nature, properties and dynamics of Information Structures, not being able to observe the dimensional levels that underlie those of particles and therefore, we try to explain the complex and strange quantum phenomena with the little information that these rudimentary, and often misleading, statistical quantities provide us. And everything gets messed up, an almost impossible task...
Links to the tables of contents of TFNR Paper
