Abstract The space and time uncertainties are evaluated by using the quantum mechanical spacetime description. It is proved that it is not the total uncertainty contribution which has to be interpreted as a whole, but rather the distinct uncertainty contributions which possess a welldefined physical meaning. In this sense the space and time uncertainty contributions are analysed in the context of the binary space‐time description.
Abstract The space and time uncertainties are evaluated by using the quantum mechanical spacetime description. It is proved that it is not the total uncertainty contribution which has to be interpreted as a whole, but rather the distinct uncertainty contributions which possess a welldefined physical meaning. In this sense the space and time uncertainty contributions are analysed in the context of the binary space‐time description.
Introduction ‘The term “3-geometry” makes sense as well in quantum geometrodynamics as in classical theory. So does superspace. But space-time does not. Give a 3-geometry, and give its time rate of change. That is enough, under typical circumstances to fix the whole time-evolution of the geometry; enough in other words, to determine the entire four-dimensional space-time geometry, provided one is considering the problem in the context of classical physics. In the real world of quantum physics, however, one cannot give both a dynamic variable and its time-rate of change. The principle of complementarity forbids. Given the precise 3-geometry at one instant, one cannot also know at that instant the time-rate of change of the 3-geometry. … The uncertainty principle thus deprives one of any way whatsoever to predict, or even to give meaning to, “the deterministic classical history of space evolving in time”. No prediction of spacetime, therefore no meaning for spacetime , is the verdict of the quantum principle’. (Misner, Thorne, and Wheeler 1973) One of the few propositions about quantum gravity that most physicists in the field would agree upon, that our notion of spacetime must, at best, be altered considerably in any theory conjoining the basic principles of quantum mechanics with those of general relativity, will be questioned in this chapter. We will argue, in fact, that most, if not all, of the conceptual problems in quantum gravity arise from the sort of thinking on display in the preceding quotation.
Within the axiomatic framework of Time Field Theory (TFT), this paper provides a classical field interpretation for the core features of quantum mechanics. We demonstrate the intrinsic equivalence between rest mass and the capability of defining local spacetime benchmarks, and introduce the dimensionless quantity α = 1−γ to characterize observer strength. The covariant dynamical equation of observer strength is established from the TFT field equation. Based on time-field fluctuation analysis, we derive a benchmark-induced uncertainty contribution, which is treated as a gravitational correction to the conventional quantum uncertainty relation. A classical ergodic statistical picture is proposed to interpret quantum probability, and the process of measurement and decoherence is described as dynamical stabilization of the time field under macroscopic mass disturbance. This work does not introduce any quantum mechanical postulates, wavefunctions or Hilbert space structures. It offers a self-consistent deterministic perspective to understand quantum phenomena without contradicting existing quantum formalism.
There are many controversies on energy—time uncertainty relation. Because of the confused role time plays in quantum mechanics, the references and meanings of energy—time uncertainty relation are different in different explanatory contexts. But what do time and energy really mean? What is the philosophical foundation of this relationship? The article bases on the three different meanings of time in quantum mechanics, discusses the references and meanings of energy—time uncertainty relation in various contexts, and aims to clarify the confusion on the references and the meanings of the uncertainty relation between energy and time.
This work presents a conceptual and representational framework aimed at clarifying the structural relationships among established physical theories across relativistic, quantum, and cosmological regimes. Rather than proposing new dynamical laws, particles, or experimentally testable predictions, the manuscript focuses on how existing physical descriptions may be consistently interpreted within a unified representational structure. The proposed Dual-Spacetime Projection Framework distinguishes between an underlying descriptive domain and an observed effective spacetime, connected through a scale-dependent projection. This distinction is intended as a formal and interpretative tool, not as an ontological claim about the existence of multiple physical spacetimes. Within this perspective, several foundational features of modern physics—such as Lorentz invariance, finite signal propagation, quantum uncertainty, and large-scale cosmological behavior—are discussed as consequences of representational structure rather than as independent postulates. The manuscript is positioned as a contribution to the foundations of theoretical physics, offering a coherent conceptual lens for organizing and interpreting existing theories. It is intended for readers interested in foundational questions, conceptual unification, and the representational aspects of physical law, and does not rely on experimental data or numerical simulation.
Quantum mechanical uncertainty After reviewing the main characteristics of the classical description of light, let us discuss those aspects of the quantization of the electromagnetic field which are of relevance for the analysis of the phenomena we are interested in. It seems a reasonable place to start to make clear the fundamental difference between the classical and the quantum mechanical description of nature; we will come across this difference many times when discussing experiments, and it will often give us a headache. We have to deal with the physical meaning of what is called uncertainty. The starting point of the classical description is the conviction that natural processes have a “factual” character. This means that physical variables such as the position or momentum of a particle have, in each single case, a well defined (in general, time dependent) value. However, it will not always be possible to measure all the appropriate variables (for instance, the instantaneous electric field strength of a radiation field); furthermore under normal circumstances we are able to measure only with a finite precision. Hence the basic credo of classical physics should be given in the following form: we are justified in imagining a world with variables possessing well defined values which are not known precisely (or not known at all). In doing this we are not forming any conclusions that contradict our everyday experiences. This is the fundamental concept of classical statistics: we are satisfied with the use of probability distributions for the variables we are interested in, not from fundamental but purely practical reasons.