Mohammed A Z Habeeb

We derive Hardy's maximal nonlocal success probability directly within a Presentist Fragmentalist (PF) ontology, without invoking Hilbert space, amplitudes, or the Born rule. The core idea is to treat pre-interaction misalignment of "present windows" as a measurable structure on an alignment space Λ = T × T endowed with a uniform product measure µ. A Fragmentalist Probability Theory (FPT) is developed on this space, replacing the standard Kolmogorov framework. Hardy's four logical constraints (H1–H4) are encoded as measurable relations on Λ. A minimal "correlated subset" ansatz combined with exclusion of synchronized alignments yields a PF success probability P(p) = [p·(1 − p)]^2/(1 − p^2) for 0 < p < 1, with a unique interior maximizer at p = φ^−1 (the golden ratio conjugate) and Pmax = φ^−5 ≈ 0.09017, which equals the quantum Hardy bound. We show kernel-independence, no-signaling of marginals, robustness to perturbations, and a concrete setting-indexed construction on the admissible space Λ^H that realizes the full Hardy table. The result is an ontologically transparent derivation of Hardy's probability from PF's synchronization under misalignment. We close with remarks on robustness and prospects for generalization.

We derive Hardy's maximal nonlocal success probability directly within a Presentist Fragmentalist (PF) ontology, without invoking Hilbert space, amplitudes, or the Born rule. The core idea is to treat preinteraction misalignment of "present windows" as a measurable structure on an alignment space ? = ?? × ?? endowed with a uniform product measure µ. A Fragmentalist Probability Theory (FPT) is developed on this space, replacing the standard Kolmogorov framework. Hardy's four logical constraints (H1–H4) are encoded as measurable relations on ?. A minimal "correlated subset" ansatz combined with exclusion of synchronized alignments yields a PF success probability P(p) = [p·(1 - p)]²/(1 - p²) for 0 < p < 1, with a unique interior maximizer at p = f?¹ (the golden ratio conjugate) and P??? = f?5 ˜ 0.09017, which equals the quantum Hardy bound. We show kernel-independence, no-signaling of marginals, robustness to perturbations, and a concrete setting-indexed construction on the admissible space ?? that realizes the full Hardy table. The result is an ontologically transparent derivation of Hardy's probability from PF's synchronization under misalignment. We close with remarks on robustness and prospects for generalization.

This paper presents a theoretical framework demonstrating how awareness necessarily continues after biological death, based on the foundational principle that information cannot be lost in quantum mechanics. By examining the quantum fields that persist after death and their intrinsic preservation of information, we show how the substrate of awareness must continue to exist and evolve. We explore how the ubiquitous and non-local nature of quantum fields naturally leads to the interaction and potential merging of different awarenesses, providing a physical basis for reported near-death experiences of connection with loved ones and universal consciousness. Unlike previous quantum consciousness theories such as the Penrose-Hameroff orchestrated objective reduction model, which focuses on quantum processes within microtubules during life, our framework examines how quantum field interactions necessarily preserve and transform awareness after biological death.

This paper presents a theoretical framework demonstrating how awareness necessarily continues after biological death, based on the foundational principle that information cannot be lost in quantum mechanics. By examining the quantum fields that persist after death and their intrinsic preservation of information, we show how the substrate of awareness must continue to exist and evolve. We explore how the ubiquitous and non-local nature of quantum fields naturally leads to the interaction and potential merging of different awarenesses, providing a physical basis for reported near-death experiences of connection with loved ones and universal consciousness. Unlike previous quantum consciousness theories such as the Penrose-Hameroff orchestrated objective reduction model, which focuses on quantum processes within microtubules during life, our framework examines how quantum field interactions necessarily preserve and transform awareness after biological death.

Application 1: In the Calculus of Qualia (CQ) if Paul’s favorite color is red and Laura’s favorite color is red, we cannot infer they have the qualitatively same favorite color because of the possibility of spectrum inversion or inverted qualia etc. But if Paul’s favorite color is █ and Laura’s favorite color is █ we can infer they have the qualitatively same favorite color. There is not inter-subjective verification but intra-subjective verification. The cases of bats and color blind people are considered. Application 2: we explain what the Zen proposition “a teaching is not a teaching” means using CQ. Application 3: we revisit the question of why there is something rather than nothing and give a CQ answer, concluding it the best secular answer but is not conclusive.

This paper introduces the Calculus of Qualia (CQ), a novel formal system that transcends the referential paradigm of traditional language by incorporating non-referential terms. These terms directly present phenomenal experiences, such as blackness, rather than referring to them, addressing longstanding limitations in expressing subjective consciousness. Building on insights from phenomenology and philosophy of mind, CQ defines qualations—expressions involving non-referential terms--qualia--with distinct logical behaviors like instance preservation and resistance to collapse. The framework offers new tools to formalize the hard problem of consciousness and challenges classical thought experiments like the zombie argument, suggesting that qualia’s irreducibility demands a presentational rather than referential approach. This calculus bridges rigorous analysis and experiential meaning, opening pathways for rethinking language, consciousness, and their formal representation.

This paper examines how Presentist Fragmentalism (PF) provides a unified framework for resolving key paradoxes in quantum mechanics and relativity. PF posits that reality consists of fragments with independent A-series temporal flows (dynamic, future/present/past) connected by B-series relations (static, earlier/simultaneous/later). We demonstrate PF's explanatory power through analysis of eight fundamental thought experiments, including Einstein's train, Schrödinger's cat, EPR, and the delayed choice quantum eraser. The framework naturally resolves apparent contradictions between quantum non-locality and relativistic causality by distinguishing between B-series relations, which respect relativistic constraints, and A-series synchronization, which enables quantum correlations. This reconciliation requires no additional mathematical machinery beyond standard quantum mechanics, while providing clear ontological understanding of quantum phenomena. We compare PF with other major interpretations, including Aharonov's two-time, Rovelli's relational interpretation, and quantum reference frames, showing how PF offers unique insights into temporal structure. The framework's success in systematically resolving diverse paradoxes while preserving both relativistic and quantum principles suggests it captures fundamental features of physical reality.

This note effectively presents several arguments for the soundness of A-theories, and that their two series are required for a complete description of time in physics. The paper makes several key contributions: First, it establishes an empirical basis for distinguishing A-series and B-series time through direct experience and observation. Second, it presents an important check on this result in giving five mini-arguments that A-theories should indeed be right. Third, it gives a novel kind of argument leading to falsifiable predictions. Fourth it gives a detailed account of clocks in this theory: sundials, analogue, digital, and atomic. Fifth it connects the clocks of a computer to the clocks of its software.

This paper presents a falsifiable prediction based on A-theories of time, which require both an A-series (future/present/past) and B-series (earlier/simultaneous/later) of time. We make an unusual argument based on the temporal search parameters of YouTube videos, which requires *two* parameters. We make the falsifiable prediction that no interface with just *one* parameter can be made that has the same functionality (as would be asserted in B-theories). This circumstance applies to many areas of human endeavor. We extend this analysis to clocks, showing how sundials, analog clocks, digital clocks, and atomic clocks all fundamentally operate using both temporal series. The progression from hardware to software clocks in computers reveals how both series persist through increasing levels of abstraction. These findings suggest that physics, being fundamentally based on clock measurements, must incorporate both temporal series rather than attempting to reduce one to the other. This approach offers new insights into the relationship between quantum mechanics and relativity, suggesting that quantum mechanics primarily operates in A-series time while relativity operates in B-series time, potentially illuminating why their unification has proven challenging.

This paper proposes a novel theoretical framework for reconciling quantum mechanics with relativity that leads to a theory of quantum gravity by examining the fundamental nature of time. In the first section we argue that it is possible to perform an experiment for oneself in which, with enough ‘internal technology’ it is possible to distinguish between one’s experience of time on the one hand, and one’s thoughts about one’s experience of time on the other hand. The former gives McTaggart's A-series (future/present/past) and the latter gives McTaggart’s B-series (earlier/simultaneous/later). Several arguments are then given for why this should work, and several Gedankenexperiments, including Einstein’s Train, are explored and it is shown how they can be solved using this notion of time. These series lead directly to the Presentist Fragmentalist interpretation of quantum mechanics [Merriam 2022a]. To a first approximation, quantum mechanics primarily operates in the A-series and relativity operates in the B-series. The interpretation is used to propose a theory of quantum gravity, where the A-series and the B-series become mixed. It is then shown how this theory leads to the Schrodinger equation in one limit and General Relativity in another limit.

Applying the resolution–scale relativity principle to develop a mechanics of non-differentiable dynamical paths, we find that, in one dimension, stationary motion corresponds to an Itô process driven by the solutions of a Riccati equation. We verify that the corresponding Fokker–Planck equation is solved for a probability density corresponding to the squared modulus of the solution of the Schrödinger equation for the same problem. Inspired by the treatment of the one-dimensional case, we identify a generalization to time dependent problems in any number of dimensions. The Itô process is then driven by a function which is identified as establishing the link between non-differentiable dynamics and standard quantum mechanics. This is the basis for the scale relativistic interpretation of standard quantum mechanics and, in the case of applications to chaotic systems, it leads us to identify quantum-like states as characterizing the entire system rather than the motion of its individual constituents.

In this short informal note we consider four Gedankenexperiments that show A-theories of time are compelling and can be leveraged to give a Presentist Fragmentalist realist interpretation of quantum mechanics. Each of these four involve roles for manifest time, relativistic time, and quantum mechanical time. The point is to give simple everyday situations where a new point of view leads to the consistency of all three. This is the MO of the early Einstein. Einstein's Train is one of the Gedankenexperiments considered.

This note (it is not a full-fledged academic paper) introduces a novel approach to classic thought experiments in consciousness studies through the incorporation of non-referential terms—symbols that present experiences directly rather than referring to them. By analyzing the Hard Problem, Knowledge Argument, Philosophical Zombies, and Spectrum Inversion thought experiments using both referential terms (like "blackness") and non-referential terms (like █), the paper reveals that many apparent philosophical puzzles arise from conflating referential descriptions with direct presentational experiences. The analysis shows that attempting to formulate these thought experiments using non-referential terms often requires instantiating the very experiences in question, creating self-referential paradoxes that solve or dissolve the original problems.

General Introduction to the PF interpretation of QM and quantum gravity The first purpose of this series of articles is to introduce case studies on how current AI models can be used in the development of a possible theory of quantum gravity, their limitations, and the role the researcher has in steering the development in the right direction, even highlighting the errors, weaknesses and strengths of the whole process. The second is to introduce the new Presentist Fragmentalist ontology as a framework and use it for developing theories of quantum gravity and speculate on achieving a TOE. We emphasize it is necessary for the researcher to check everything in these articles for themselves. While there are many good ideas in this series of papers, the AI is known to make even arithmetic and algebraic mistakes. To select just five apparently good ideas, there is a causal interaction tensor Cαβγδ(F1, F2) that encodes the causal relationship and the strength of the (possibly non-local) interaction between two fragments of reality (formed by each quantum system). There is a quantitative prediction for a testable table-top experiment. There is an explanation of how spacetime emerges from the fragments and their interactions. There is an explicit account of the double-slit experiment. And there is an explanation how this theory accommodates dark matter and dark energy simultaneously. We explore ideas, equations they lead to, concrete calculations, and give corrections along the way. While these are generally morally right within this framework they must be checked by the researcher. Given this caveat, we believe we have made significant progress with the PF interpretation in developing a theory of quantum gravity and pointing out a possible path to a TOE.

The first purpose of this series of articles is to introduce case studies on how current AI models can be used in the development of a possible theory of quantum gravity, their limitations, and the role the researcher has in steering the development in the right direction, even highlighting the errors, weaknesses and strengths of the whole process. The second is to introduce the new Presentist Fragmentalist ontology as a framework and use it for developing theories of quantum gravity and speculate on achieving a TOE. We emphasize it is necessary for the researcher to check everything in these articles for themselves. While there are many good ideas in this series of papers, the AI is known to make even arithmetic and algebraic mistakes. To select just five apparently good ideas, there is a causal interaction tensor Cαβγδ(F1, F2) that encodes the causal relationship and the strength of the (possibly non-local) interaction between two fragments of reality (formed by each quantum system). There is a quantitative prediction for a testable table-top experiment. There is an explanation of how spacetime emerges from the fragments and their interactions. There is an explicit account of the double-slit experiment. And there is an explanation how this theory accommodates dark matter and dark energy simultaneously. We explore ideas, equations they lead to, concrete calculations, and give corrections along the way. While these are generally morally right within this framework they must be checked by the researcher. Given this caveat, we believe we have made significant progress with the PF interpretation in developing a theory of quantum gravity and pointing out a possible path to a TOE.

This paper continues and extensive exploration of the QG and TOE resulting from the PF interpretation of QM. Some highlights are an exploration of symmetries of the Standard Model, outlines of testable predictions of implications for QG, that this theory can simultaneously give an account of dark matter and dark energy, probabilities and statevector collapse vs. gravity, applications of the causal interaction tensor Cαβγδ(Fi, Fj). Note the first section mentions qualia but this is not a psychological theory this is an ontic theory.