In the Philosophical Investigations, Ludwig Wittgenstein wrote, " 'I' is not the name of a person, nor 'here' of a place, .... But they are connected with names. ... [And] it is characteristic of physics not to use these words." This statement expresses the dominant way of thinking in physics: Physics is about the impersonal laws of nature; the "I" never makes an appearance in it. Since the advent of quantum theory, however, there has always been a nagging pressure to insert a first-person perspective into the heart of physics. In incarnations of lesser or greater strength, one may consider the "Copenhagen" views of Bohr, Heisenberg, and Pauli, the observer-participator view of John Wheeler, the informational interpretation of Anton Zeilinger and Caslav Brukner, the relational interpretation of Carlo Rovelli, and, most radically, the QBism of N. David Mermin, Ruediger Schack, and the present author, as acceding to the pressure. These views have lately been termed "participatory realism" to emphasize that rather than relinquishing the idea of reality (as they are often accused of), they are saying that reality is more than any third-person perspective can capture. Thus, far from instances of instrumentalism or antirealism, these views of quantum theory should be regarded as attempts to make a deep statement about the nature of reality. This paper explicates the idea for the case of QBism. As well, it highlights the influence of John Wheeler's "law without law" on QBism's formulation.
Most interpretations of quantum theory fail to provide a fundamental, complete, self-consistent account of nature describing physical reality itself, as opposed to merely yielding predictions about results of experiments and observations. A paradigm providing a self-consistent foundation for quantum theory and a description of the reality it refers to, generalized to a worldview, is a Quantum Paradigm, where ‘paradigm' is defined as structure of experiential reality. We assert that the fundamental obstruction in the quest for a quantum paradigm is the assumption of objectivity. The subject-object distinction, drawn within experience, has within the natural sciences degenerated into a dichotomy-an absolute split into separate realms-with scientists adopting the classical paradigm where the object pole of experience ("objective reality") can be studied independently from the subject pole ("the experiencer"), with a presupposition that this procedure yields a fundamental description of nature. In fact, the subjective is often eliminated altogether as a fundamental category, and reduced to an epiphenomenon of objective processes. We claim this objectivity assumption precludes a full comprehension and a paradox-free formulation of quantum theory. By challenging this presupposition, i.e. leaving the question open, a coherent understanding of quantum nature falls naturally into place, providing appropriate foundation for quantum theory and an associated world-view. The resulting Quantum Paradigm is "realist" in the sense that it provides a description of what is actually happening: namely the arena of all happening is Mind or Consciousness-from which mind and matter, subject and object, individual and collective, and time and space co-dependently arise. The subject matter of quantum theory then becomes the fundamental mind-function of distinction ("measurement"), resulting in information and its statistical correlations. The message of quantum mechanics is surprising: the basic components of objects-the particles, electrons, quarks, etc.-cannot be thought of as ‘self-existent'. The reality that they, and hence all objects, are components of is ‘empirical reality', of experience."The universe begins to look more like a great thought than a great machine."-James Jeans Anomalous phenomena such as ESP and psychokinesis, collective consciousness, and synchronicity that are considered impossible in the context of the classical paradigm, fit naturally in, and can in turn provide evidence for the Quantum Paradigm. Spirituality and science are shown to be complementary approaches referring to the same reality, Mind, while each discipline retains its integrity. The Quantum Paradigm can be intellectually comprehended, as well as embodied: one can live in quantum reality. A good metaphor for this is "life as a dream": with no "real" objects as distinguished from experienced objects. Experience is "empty" of self-nature in the Buddhist sense, with everything interconnected and co-dependently arising. Experiencing the world by "embodying the Quantum Paradigm" is transformative, healing, and an antidote to alienation resulting from embodying the classical paradigm. Embodying the Quantum Paradigm and living in the Oneness of all creation can help humanity-increasingly lost in the materialism and individualism reinforced by our embodiment of the classical paradigm-and restore intimate connection and harmony with Spirit, Nature and fellow humans; we need such a transformation to survive and thrive in our technological society.
This paper explains paradox, probability, and quantum reality through two lenses held level: physics, the measured world, and philosophy, the asked world — with perception as the thread running through all three. Throughout, it separates measured fact, interpretation, and one reader's interpretation. Readers are welcome to reach the author on Discord — a great way to get a hold of him: https://discord.gg/5j8w4A2eY — an open research group for trying to understand the reality we live in.
The quantum, strangest feature of this strange universe, cracks the armor that conceals the secret of existence. In contrast to the view that the universe is a machine governed by some magic equation, we explore here the view that the world is a self-synthesizing system of existences, built on observer-participancy via a network of elementary quantum phenomena. The elementary quantum phenomenon in the sense of Bohr, the elementary act of observer-participancy, develops definiteness out of indeterminism, secures a communicable reply in response to a well-defined question. The rate of carrying out such yes-no determinations, and their accumulated number, are both minuscule today when compared to the rate and number to be anticipated in the billions of years yet to come. The coming explosion of life opens the door, however, to an all-encompassing role for observer-participancy: to build, in time to come, no minor part of what we call its past—our past, present, and future—but this whole vast world.
Foundations of physics · For the general reader The Relational Architecture of Time Emergent temporal order, delayed-choice photon experiments, and the thermodynamic arrow — a complete mathematical account, explained from the ground up János Gábor Melegh The Relational Architecture of TimeEmergent temporal order, delayed-choice photon experiments, and the thermodynamic arrow. Copyright © 2026 János Gábor Melegh. All rights reserved. No part of this book may be reproduced in any form without written permission from the author, except for brief quotations in reviews and scholarly works. This book unifies and expands two research manuscripts by the author: Time as an Emergent Relational Structure (2026) and Relational Time Structure in Delayed-Choice Photon Experiments (axiomatically extended version, 2026). Every definition, theorem, proof, and derivation of those works is reproduced here in full and without abridgement; the surrounding prose has been substantially expanded so that a motivated reader without formal training in physics or mathematics can follow the entire argument. First English edition, 2026. Preface How to Read This Book This is a book about a deceptively simple question: what is time, physically? Not what a clock reads, and not how time feels, but what structure in the physical world earns the name "time" at all. The answer defended here can be stated in one sentence: time is not a fundamental ingredient of the universe but an emergent, relational structure — an ordering that arises when physical descriptions defined through interaction fit together consistently, with its familiar one-way direction supplied separately by thermodynamics. That single sentence carries a lot of machinery, and this book unpacks all of it. The book makes an unusual promise, and it is worth stating explicitly: The promise of this book Nothing has been simplified away. Every equation, every definition, every theorem, and every proof from the underlying research papers appears here in full. What has been added — greatly — is explanation: before and after each formal step you will find plain-language accounts of what the symbols say, why the step matters, and what would go wrong without it. If you skip the equations entirely, the prose still tells a complete story. If you read the equations, the prose tells you exactly how to read them. Throughout the book you will meet a small family of recurring boxes, each with a fixed job: In plain language (copper boxes) — the intuition. What a formal statement means in everyday terms, often with an analogy. Definitions (blue boxes) — precise introductions of new mathematical objects. These are the vocabulary of the theory. Theorems (framed boxes) — the claims that are actually proved, followed by their proofs in full. A proof ends with the traditional square symbol □. Warnings and scope limits (red boxes) — the places where the theory deliberately stops claiming things. These boxes are part of the scientific content, not decoration: a theory earns trust partly by declaring its own boundaries. A five-minute notation primer Readers who have never used the notation of quantum mechanics need only a handful of symbols, all introduced properly when they first appear. As a preview:
∣ψ⟩ — a "ket," the standard label for a quantum state. Think of it as the complete catalogue of what quantum theory says about a system.
ρ — a density operator, the more general bookkeeping device for quantum states, including states known only statistically.
Tr — the trace, a summing-up operation.
TrB ("partial trace over
B") means: average away everything about subsystem
B and keep the rest.
P(x∣b) — the probability of outcome
x given setting
b. Ordinary conditional probability.
e1≺e2 — event
e1 causally precedes event
e2; it can influence it.
∑ — a sum;
sup and
inf — the least upper bound and greatest lower bound of a set of numbers, close cousins of "maximum" and "minimum." Everything else — beam splitters, POVMs, quantum channels, entropy, modular flow — is built up step by step in the chapters where it is needed, and Appendix A collects every symbol in one table. The shape of the argument Part I poses the problem of time and develops the conceptual core: relational description, the principle of relational consistency, the removal of subjective experience from the foundations, and the division of labor between relational ordering and thermodynamic direction. Part II takes the framework into the laboratory. It builds the full mathematical toolkit from scratch and then works through the two most notorious "time-bending" experiments of quantum optics — Wheeler's delayed choice and the delayed-choice quantum eraser — with complete derivations, showing that nothing in them requires the future to reach back into the past. Part III formalizes relational consistency exactly, explains what a physical record is, de-mystifies the "observer" (including a careful treatment of the Wigner's-friend and Frauchiger–Renner thought experiments), and shows the correct use of causal event graphs. Part IV separates order from direction, develops the thermodynamic arrow, connects the framework to thermal time and to neighboring research programs. Part V asks the hardest questions of any theory — what does it mean, and how could it be wrong? — and closes with a complete empirical research program and conclusions. What this book does not claim This book does not announce a new physical force, a new dynamical law, or an experimental result that contradicts standard quantum mechanics. Its framework is deliberately, provably empirically equivalent to standard quantum theory in every laboratory situation treated here. Its contribution is a rigorously constrained conceptual and mathematical reconstruction: an account of what time is, and of what delayed-choice experiments do and do not show, that is causally clean, fully formalized, and — crucially — falsifiable in the precise, limited sense worked out in Chapter 22. Readers deserve to know which statements are established mathematics, which are structural proposals, and which are open questions; this book labels all three throughout. Contents Table of Contents Preface: How to Read This Book Part I — The Problem of Time 1. Why Time Is a Problem 2. Relational Descriptions in Contemporary Physics 3. Relational Consistency as a Structural Principle 4. Time Without Experience 5. Relational Ordering and Thermodynamic Asymmetry 6. Ontological Implications and Open Questions Part II — The Laboratory of Time 7. Aim and Scientific Status 8. The Experimental Foundation 9. The Mathematical Toolkit 10. Postulates of the Relational-Time Delayed-Choice Model 11. Wheeler's Delayed Choice: The Complete Two-Path Derivation 12. The Delayed-Choice Quantum Eraser: A Density-Matrix Derivation 13. The General No-Signalling Theorem Part III — Consistency, Records, and the Event Graph 14. Relational Consistency: Exact and Experimental Formalization 15. Physical Records, Decoherence, and the Observer De-Mystified 16. Relational Time and the Correct Use of the Event Graph Part IV — The Arrow and the Landscape 17. Relational Order and the Thermodynamic Direction of Time 18. Distinctions from Related Approaches 19. A Formal Bridge: Consistent Quantum Histories 20. Separating Temporal Consistency from Quantum Coherence Part V — Meaning and Testability 21. What Does "Determined Later" Mean, Mathematically? 22. Empirical Content, Falsifiability, and a Research Program 23. Conclusions Back Matter Appendix A — Notation and Conceptual Correspondence Appendix B — The Logical Core in a Single Chain of Formulas Appendix C — Claim–Assumption Matrix References Part I The Problem of Time In which time is neither denied nor assumed, but asked to explain itself — and the concepts of relational description, relational consistency, and the thermodynamic arrow are assembled. Chapter 1 Why Time Is a Problem The conceptual status of time remains deeply problematic in contemporary physics. Relativity eliminates absolute simultaneity; quantum theory challenges the notion of observer-independent states; and neither framework explains how temporal structure itself arises. Ask a physicist of the nineteenth century what time is, and the answer would have been serene: time is a universal, externally given parameter. Every event in the universe happens at some moment of a single cosmic clock, and physics describes how things change as that clock ticks. Newton wrote it into the foundations: absolute time "flows equably without regard to anything external." This picture is intuitive, it matches everyday experience, and it is built into the very grammar of classical mechanics, where every equation of motion says how a quantity changes with respect to
t — a
t that is simply assumed to be there, the same for everyone, everywhere. Modern physics profoundly destabilized this picture — twice, from two independent directions. The first blow came from special relativity. Einstein's 1905 analysis showed that there is no such thing as absolute simultaneity: whether two distant events happen "at the same time" depends on the observer's state of motion. Time intervals themselves are frame-dependent. This is not a limitation of our measuring devices; it is a structural feature of spacetime. There is no privileged universal "now" slicing the universe into past and future — no preferred foliation, in the technical vocabulary — that all observers could agree on. What relativity leaves behind is a network of relations: which events can influence which, encoded in the invariant light-cone structure. The second blow came from quantum theory, which undermines something even more basic: the idea that a physical system simply has a defin
The main ambition of this work has been to explore the prospects for dissolving the foundational problems of quantum theory by adopting the epistemic conception of quantum states and reflecting on how it should be spelled out in detail. This differs (at least in emphasis, if not more profoundly) from the main ambition of those — ‘realistically minded’ — philosophers whose declared aim is to determine what reality is like if it is as quantum theory says. If the Rule Perspective is correct, quantum theory does not really say anything about reality at all: features of reality are described not by quantum states, but by NQMCs, and while quantum theory helps us ascribe probabilities to the NQMCs, it does not typically make any statements as to which NQMCs are true and which are false. However, even though quantum theory does not in that sense say anything about reality, we can learn a lot about reality by reflecting on what features it must have for quantum theory’s undisputed empirical success to be possible. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.