Extraordinary mathematicality of physics is also shown by dimensionlessness of Planck spacetime and mass. At the same time the Planck granularity of spacetime also shows that physics can be simulated by a binary computer. So physics is informational. But mathematics is not everything in physics, consciousness cannot be solely explained by mathematics. The reason that quantum gravity (QG) does not yet exist is the lack of knowledge about spacetime as background. Quantum mechanics is not complete, because foundational principle is not yet known, and because consciousness and QG are not yet explained. The free will and quantum randomness are similar unexplained phenomena. Even philosophy is important in physics, because what mathematics cannot describe in physics is ontology. And, intuition affects what is mainstream physics. Simplicity and clearness of physics and mathematics of physics are important not only for beginners, but also for the development of the fundamental physics. Uncertainty principle is so simple that maybe it could be derived without the use of wave functions. On the simplicity and clearness of fundamental physics it can be done a lot.
Extraordinary mathematicality of physics is also shown by dimensionlessness of Planck spacetime and mass. At the same time the Planck granularity of spacetime also shows that physics can be simulated by a binary computer. So physics is informational. But mathematics is not everything in physics, consciousness cannot be solely explained by mathematics. The reason that quantum gravity (QG) does not yet exist is the lack of knowledge about spacetime as background. Quantum mechanics is not complete, because foundational principle is not yet known, and because consciousness and QG are not yet explained. The free will and quantum randomness are similar unexplained phenomena. Even philosophy is important in physics, because what mathematics cannot describe in physics is ontology. And, intuition affects what is mainstream physics. Simplicity and clearness of physics and mathematics of physics are important not only for beginners, but also for the development of the fundamental physics. Uncertainty principle is so simple that maybe it could be derived without the use of wave functions. On the simplicity and clearness of fundamental physics it can be done a lot.
In general, a physical theory is based on some fundamental principles concerning space, time, matter, and the laws prescribing how matter is distributed in space and how it evolves in time, and even how spacetime itself changes in response to the changes of matter. The spectrum of the known theories is very diverse, since they are based on different assumptions. Some theories assume that space and time are totally independent, some that they are warped in a continuum named "spacetime", and some even that there are more dimensions than the usual 3+1. Most theories consider that space and time are continuous, but many recent theories consider them to be discrete. Most dynamical laws of fundamental Physics are deterministic, but apparently Quantum Mechanics shows that they may have an indeterministic component. Despite these distinctions between various theories, our intuition and experience tells us that they have a lot in common. In this paper I will try to capture the common features in a single mathematical structure. This is not a Theory of Everything, but only a mathematical structure which is common to most physical theories known so far. We will see that these theories can be obtained as particular cases of this structure, which I will call "world". In particular, the worlds described by the Classical Mechanics, the Theory of Relativity and the Quantum Mechanics are examples of worlds according to this definition, but also some theories attempting to unify gravity and QM, like String Theory. The purpose of this distillation is to provide a mathematical common background to both physical and metaphysical discussions about the various theories of the World.
This accepted manuscript is structurally governed by THE META-INDEX (Zenodo DOI: 10.5281/zenodo.18169167) Modern quantum mechanics represents an unprecedented computational success in the history of physics, predicting the outcomes of subatomic processes with extraordinary accuracy. Despite this mathematical precision, however, the ontological status of quantum phenomena remains unresolved. This work argues that quantum mechanics correctly describes how systems behave, but fails to explain what quantum phenomena actually are. Concepts such as uncertainty, probability, and superposition are shown to be epistemic constructs—tools that describe incomplete transitions rather than fundamental properties of reality. Through a series of thought experiments and an A–B transition framework, this paper proposes that quantum phenomena should be understood as a constrained and harmonious transition regime between potentiality (A) and realized outcome (B). In this view, quantum is not a domain of indeterminacy, but the physics of becoming: a regulated ontological interval in which outcomes have not yet formed, rather than existing in an indeterminate state. This reinterpretation offers a coherent ontological foundation for quantum mechanics without invoking intrinsic randomness or observer-dependent reality.
The present paper interprets quantum mechanics within the ontological framework of the Theory of Consciousness. The Theory posits consciousness as the sole ontological reality, formally described as a topological space, and derives all physical phenomena as manifestations of the local knowledge of the observer. Within this framework the five principal phenomena of quantum mechanics —superposition, wave-function collapse, the uncertainty principle, quantization, and entanglement — are shown to arise necessarily from the axiomatic ontological chain of consciousness without introducing new postulates. Quantum indeterminacy is reinterpreted not as a fundamental property of matter but as a structural limitation of the observer’s local knowledge. The Planck constant is identified with the minimum resolvable change of the knowledge structure of the quantum observer. The conceptual paradoxes of quantum mechanics—the measurement problem, non-locality, and the probabilistic nature of results — dissolve once consciousness is restored as the ontological foundation.
Quantum theory is the most successful physical theory. About one third of the gross national product in the developed countries results from its applications. But very often quantum theory is still declared as "crazy" or "not understandable". However, quantum theory has a clear mathematical structure that expresses well-known experiences from every day life: A whole is often more than the sum of its parts, and not only the facts also the possibilities can act. If such structures become important then the consequences differ from the models of classical physics which rests on the fundamental differences between matter and motion, material and force, localization and extension, fullness and emptiness. From quantum theory one can learn that all these differences are useful in many cases but are not fundamental. There are equivalences between them, and these can be extended even to the equivalence between matter, energy and abstract quantum information. It is cosmological funded and is denominated as "Protyposis" to avoid the connotation of information and meaning. Protyposis enables a fundamentally new understanding of matter which can be seen as "formed", "condensed" or "designed" abstract quantum information. One result of the Protyposis is a derivation of Einstein's equations from the abstract quantum information. Another consequence is the ontological reality of the mind and its connection to a brain which can be explained without any dualistic model.
Probing Planck-scale spacetime by cavity opto-atomic 87Rb interferometry
The project of quantum spacetime phenomenology focuses on searching pragmatically for the Planck-scale quantum features of spacetime. Among these features is the existence of a characteristic length scale commonly addressed by effective approaches to quantum gravity (QG). This characteristic length scale could be simply realized, for instance, by generalizing the standard Heisenberg uncertainty principle to a generalized uncertainty principle (GUP). While it is usually expected that phenomena belonging to the realm of QG are essentially probable solely at the so-called Planck energy, here we show how a GUP proposal containing the most general modification of coordinate representation of the momentum operator could be probed by a cold atomic ensemble recoil experiment (CARE) as a low-energy quantum system. This proposed atomic interferometer setup has advantages over the conventional architectures owing to the enclosure in a high-finesse optical cavity that is supported by a new class of low-power-consumption integrated devices known as micro-electro-opto-mechanical systems. In the framework of a top-down-inspired bottom-up QG phenomenological viewpoint and by taking into account the measurement accuracy realized for the fine structure constant from the rubidium (|87|Rb) CARE, we set some constraints as upper bounds on the characteristic parameters of the underlying GUP. In the case of superposition of the possible GUP modification terms, we managed to set a tight constraint of |0.999978<λ0<1.00002| for the dimensionless characteristic parameter. Our study shows that the best playground to test QG approaches is not merely high-energy physics, but a table-top nanosystem assembly as well. PACS numbers: 04.60.-m, 04.60.Bc
A draft of a possible comparison between the use made of mathematics in classical field theories and in quantum mechanics is presented. Hilbert’s space formalism, although not only elegant and powerful but intuitive as well, does not give us a spatio-temporal representation of physical events. The picture of the electromagnetic field as an entity which is real in itself – i.e., as a wave without support – fostered by the emergence of special relativity can be seen as the first step, favored by many physicists and philosophers, of a gradual “escape” from intuition into a purely mathematical representation of the external world. After the introduction, in recent theoretical physics, of fiber bundle formalism the classical notion of field acquires a new spatio-temporal intuitiveness. This intuitiveness is clearly foreshadowed in the Kantian and Meinongian analysis of the notion of magnitude. At the end of the paper we show that, contrary to what happens in quantum mechanics, mathematics plays a truly explicative role in general relativity, without any loss of spatio-temporal intuitiveness.