Ontological Foundations of the Panvitalistic Theory - Why the External Time Parameter (Born of Treating the Angle as Dimensionless) Is the Root Category Mistake of Modern Physics

Manfred U.E. Pohl

Published Jun 16, 2026• 0 citations

Abstract

Modern physics rests on a single step that has never been justified: it treats length as a physical dimension but the angle as dimensionless. From this one asymmetry follow, in sequence, the external time parameter, the treatment of $\pi$ as a pure number, the modelling of a line as a continuum of points, and -- structurally -- the indeterminism of quantum theory and the singularities of general relativity. This paper argues that the asymmetry is a category mistake, that its deeper root is the substitution of a \emph{genus} for an \emph{individual} as the standard of measure, and that the remedy is not a new theory of the universe but an honest restriction of physics to what a measurement can be: a rational comparison of two real objects, $V_a = x\,V_b$, governed by the single relation $\pi \equiv kT/L$ between angle and length. The Panvitalistic Theory (PVT) does not claim to model nature; it models the act of measurement, and in doing so it returns to theology and metaphysics the questions of infinity and of the nature of the universe that standard physics has quietly annexed. One consequence cannot be evaded: a measurement must be initiated by a living observer, and a theory of measurement must therefore decide -- axiomatically, not experimentally -- between a dead and a living universe. We show why this question cannot be left open, and why only one of the two answers is coherent.

DOI: 10.5281/zenodo.20723531

Related papers

The Panvitalistic Re-Foundation of Quantum Theory: From the Time-Dependent Schr¨odinger Equation to the Timeless 12D Volume Constraint

Manfred U.E. Pohl

The Panvitalistic Theory (PVT) replaces the external time parameter of conventional quantum mechanics with internal angular curvature $\pi \equiv T/L$. The dynamics of any physical system are governed solely by the volume-invariance constraint $\delta V = 0$ in a discrete, rational 12-dimensional spacetime. We derive the complete set of 12 volume operators and their geometric commutator algebra, show that the time-dependent Schrödinger equation is an artefact of an ontologically inconsistent external-time postulate, and re-derive the Bohr model of the hydrogen atom—including radii $r_n$, energy levels $E_n \propto -1/n^2$, and the fine-structure constant $\alpha$—directly from the volume constraint. A macroscopic Earth-satellite analogue confirms the geometric origin of quantization. The framework eliminates the measurement problem, the problem of time, and the QT–GRT incompatibility at the axiomatic level while reproducing all spectroscopic successes of standard quantum theory.

Apr 28, 20260 citations

The Panvitalist Theory in the Context of Current Research in Quantum Gravity and the Foundations of Physics - An Assessment

Manfred U.E. Pohl

May 2, 20260 citations

A Scale-Invariant Theory of the Universe

Julian Barbour, Maria I. R. Lourenço

gr-qcCross-listedarXiv:2608.05929Aug 7, 2026

What a universe that becomes changes: Foundational radiance of Time-Actualization beyond hard physics

Patrick Jaubert

Jul 23, 20260 citations

Beyond the One: A Philosophy of Separated Spaces and the Reconstruction of Physical Realism

NAEEM ABUASSAF

Mar 10, 20260 citations

Natural Philosophical Critique of Quantum Mechanics

H. J. Spencer

Dec 1, 20160 citations

Ontological Foundations of the Panvitalistic Theory - Why the External Time Parameter (Born of Treating the Angle as Dimensionless) Is the Root Category Mistake of Modern Physics

Manfred U.E. Pohl

Published Jun 16, 2026• 0 citations

Publisher

Abstract

\pi

as a pure number, the modelling of a line as a continuum of points, and -- structurally -- the indeterminism of quantum theory and the singularities of general relativity. This paper argues that the asymmetry is a category mistake, that its deeper root is the substitution of a \emph{genus} for an \emph{individual} as the standard of measure, and that the remedy is not a new theory of the universe but an honest restriction of physics to what a measurement can be: a rational comparison of two real objects,

V_a = x\,V_b

, governed by the single relation

\pi \equiv kT/L

between angle and length. The Panvitalistic Theory (PVT) does not claim to model nature; it models the act of measurement, and in doing so it returns to theology and metaphysics the questions of infinity and of the nature of the universe that standard physics has quietly annexed. One consequence cannot be evaded: a measurement must be initiated by a living observer, and a theory of measurement must therefore decide -- axiomatically, not experimentally -- between a dead and a living universe. We show why this question cannot be left open, and why only one of the two answers is coherent.

DOI: 10.5281/zenodo.20723531

Related papers

The Panvitalistic Re-Foundation of Quantum Theory: From the Time-Dependent Schr¨odinger Equation to the Timeless 12D Volume Constraint

Manfred U.E. Pohl

The Panvitalistic Theory (PVT) replaces the external time parameter of conventional quantum mechanics with internal angular curvature $\pi \equiv T/L$ . The dynamics of any physical system are governed solely by the volume-invariance constraint $\delta V = 0$ in a discrete, rational 12-dimensional spacetime. We derive the complete set of 12 volume operators and their geometric commutator algebra, show that the time-dependent Schrödinger equation is an artefact of an ontologically inconsistent external-time postulate, and re-derive the Bohr model of the hydrogen atom—including radii $r_n$ , energy levels $E_n \propto -1/n^2$ , and the fine-structure constant $\alpha$ —directly from the volume constraint. A macroscopic Earth-satellite analogue confirms the geometric origin of quantization. The framework eliminates the measurement problem, the problem of time, and the QT–GRT incompatibility at the axiomatic level while reproducing all spectroscopic successes of standard quantum theory.The Panvitalistic Theory (PVT) replaces the external time parameter of conventional quantum mechanics with internal angular curvature $\pi \equiv T/L$. The dynamics of any physical system are governed solely by the volume-invariance constraint $\delta V = 0$ in a discrete, rational 12-dimensional spacetime. We derive the complete set of 12 volume operators and their geometric commutator algebra, show that the time-dependent Schrödinger equation is an artefact of an ontologically inconsistent external-time postulate, and re-derive the Bohr model of the hydrogen atom—including radii $r_n$, energy levels $E_n \propto -1/n^2$, and the fine-structure constant $\alpha$—directly from the volume constraint. A macroscopic Earth-satellite analogue confirms the geometric origin of quantization. The framework eliminates the measurement problem, the problem of time, and the QT–GRT incompatibility at the axiomatic level while reproducing all spectroscopic successes of standard quantum theory.

Apr 28, 20260 citations

The Panvitalist Theory in the Context of Current Research in Quantum Gravity and the Foundations of Physics - An Assessment

Manfred U.E. Pohl

The theoretical physics community in 2026 remains deeply fragmented. Despite impressive technical progress in several directions, there is still no consensus on the foundations of quantum gravity. Multiple competing research programs coexist, each with its own conceptual framework, mathematical tools, and community. At the same time, public discourse on social media is increasingly shaped by simplified or misleading claims about fundamental issues such as the nature of time or the viability of specific unification attempts. This paper provides a structured assessment of the current landscape (as of early 2026) and situates the Panvitalist Theory (PVT) within it. The PVT is distinguished by a unique combination of features: it models the act of measurement as primary, redefines $\pi$ as a dimensioned quantity ( $\pi \equiv T/L$ ), treats life as a fundamental mathematical axiom, provides an explicit model of free will, and offers a radical de-mathematization. These characteristics position the PVT as a fundamentally different approach that addresses several persistent problems of contemporary programs from a genuinely new foundational angle.The theoretical physics community in 2026 remains deeply fragmented. Despite impressive technical progress in several directions, there is still no consensus on the foundations of quantum gravity. Multiple competing research programs coexist, each with its own conceptual framework, mathematical tools, and community. At the same time, public discourse on social media is increasingly shaped by simplified or misleading claims about fundamental issues such as the nature of time or the viability of specific unification attempts. This paper provides a structured assessment of the current landscape (as of early 2026) and situates the Panvitalist Theory (PVT) within it. The PVT is distinguished by a unique combination of features: it models the act of measurement as primary, redefines $\pi$ as a dimensioned quantity ($\pi \equiv T/L$), treats life as a fundamental mathematical axiom, provides an explicit model of free will, and offers a radical de-mathematization. These characteristics position the PVT as a fundamentally different approach that addresses several persistent problems of contemporary programs from a genuinely new foundational angle.

May 2, 20260 citations

A Scale-Invariant Theory of the Universe

Julian Barbour, Maria I. R. Lourenço

Modern physics has achieved extraordinary empirical success while retaining much of the absolute, unobservable structure introduced by Newton, largely without questioning its necessity. We investigate how far this structure can be eliminated by adopting a relational ontology guided by Leibniz's principle of sufficient reason. Removing absolute position, orientation, time and, finally, scale leads naturally to a formulation of the gravitational $N$ -body problem where only dimensionless ratios are physically meaningful. Within this framework, the scale-invariant variety $V$ becomes a central quantity, providing a measure of structure, a natural ordering of shapes, and an emergent gravitational arrow of time. We argue that the resulting formulation unifies classes of Newtonian solutions previously regarded as distinct, uncovering a possible new symmetry, suggests a notion of explanation based on timeless spatial correlations rather than temporal evolution, and points towards a more economical ontology. Although developed in the context of Newtonian gravity, the principles proposed here may also offer a new perspective on general relativity and quantum mechanics.Modern physics has achieved extraordinary empirical success while retaining much of the absolute, unobservable structure introduced by Newton, largely without questioning its necessity. We investigate how far this structure can be eliminated by adopting a relational ontology guided by Leibniz's principle of sufficient reason. Removing absolute position, orientation, time and, finally, scale leads naturally to a formulation of the gravitational $N$-body problem where only dimensionless ratios are physically meaningful. Within this framework, the scale-invariant variety $V$ becomes a central quantity, providing a measure of structure, a natural ordering of shapes, and an emergent gravitational arrow of time. We argue that the resulting formulation unifies classes of Newtonian solutions previously regarded as distinct, uncovering a possible new symmetry, suggests a notion of explanation based on timeless spatial correlations rather than temporal evolution, and points towards a more economical ontology. Although developed in the context of Newtonian gravity, the principles proposed here may also offer a new perspective on general relativity and quantum mechanics.

gr-qcCross-listedarXiv:2608.05929Aug 7, 2026

What a universe that becomes changes: Foundational radiance of Time-Actualization beyond hard physics

Patrick Jaubert

Time-Actualization (TA) is a foundational interpretation empirically equivalent to quantum mechanics on a causal-set substrate: it makes no new prediction (a consequence, forced by assuming QM, we label P5). It therefore has, by construction, no value in hard physics -- no algorithm, no measurement, no experimental gap. This essay raises a distinct question: if one adopts TA as the correct reading of the world, what does this commit one to outside physics? We argue that TA delivers a coherent package of foundational stances -- a real objective present, an ontologically open future, an objective chance, a non-classical logic of the contingent, a primary becoming -- whose radiance is limited exactly to those domains that are themselves theories of the foundation: philosophy of time, of logic, of probability, of mind, and process metaphysics. We delimit this radiance without evasion: it is conditional (the premise "the universe is TA" is not establishable against its empirical twins), interpretative (ontological clarity, never a measurable fact), and bounded (nothing in the empirical sciences). This is the profile of a foundational contribution assumed as such.Time-Actualization (TA) is a foundational interpretation empirically equivalent to quantum mechanics on a causal-set substrate: it makes no new prediction (a consequence, forced by assuming QM, we label P5). It therefore has, by construction, no value in hard physics -- no algorithm, no measurement, no experimental gap. This essay raises a distinct question: if one adopts TA as the correct reading of the world, what does this commit one to outside physics? We argue that TA delivers a coherent package of foundational stances -- a real objective present, an ontologically open future, an objective chance, a non-classical logic of the contingent, a primary becoming -- whose radiance is limited exactly to those domains that are themselves theories of the foundation: philosophy of time, of logic, of probability, of mind, and process metaphysics. We delimit this radiance without evasion: it is conditional (the premise "the universe is TA" is not establishable against its empirical twins), interpretative (ontological clarity, never a measurable fact), and bounded (nothing in the empirical sciences). This is the profile of a foundational contribution assumed as such.

Jul 23, 20260 citations

Beyond the One: A Philosophy of Separated Spaces and the Reconstruction of Physical Realism

NAEEM ABUASSAF

Abstract: For over a century, quantum mechanics has operated within an ontological void. While its mathematical formalism achieves unprecedented predictive success, the question of what actually exists remains unresolved. This paper proposes a radical ontological reformation: reality is not a singular spacetime continuum inhabited by particles, but rather an overlapping multiplicity of independent spatial manifolds—each carried by what we call an "observer" or material center. This single postulate, the Separated Universes Theory (SUT), dissolves three major philosophical crises in modern physics: the mystery of measurement, the paradox of non-locality, and the abandonment of determinism. By redefining locality within shared spatial manifolds, we demonstrate that Einstein’s core intuitions—realism and causality—can be fully reconciled with quantum phenomena without the need for "spooky action at a distance." This work seeks to provide the missing metaphysical foundation that physics has lacked since the Copenhagen capitulation, restoring the intelligibility of nature through a new geometric-energetic framework.Abstract: For over a century, quantum mechanics has operated within an ontological void. While its mathematical formalism achieves unprecedented predictive success, the question of what actually exists remains unresolved. This paper proposes a radical ontological reformation: reality is not a singular spacetime continuum inhabited by particles, but rather an overlapping multiplicity of independent spatial manifolds—each carried by what we call an "observer" or material center. This single postulate, the Separated Universes Theory (SUT), dissolves three major philosophical crises in modern physics: the mystery of measurement, the paradox of non-locality, and the abandonment of determinism. By redefining locality within shared spatial manifolds, we demonstrate that Einstein’s core intuitions—realism and causality—can be fully reconciled with quantum phenomena without the need for "spooky action at a distance." This work seeks to provide the missing metaphysical foundation that physics has lacked since the Copenhagen capitulation, restoring the intelligibility of nature through a new geometric-energetic framework.

Mar 10, 20260 citations

Natural Philosophical Critique of Quantum Mechanics

H. J. Spencer

This paper re-opens the debate on the failure of quantum mechanics to provide an understandable view of micro-reality. A critique is offered of the commonly accepted ‘Copenhagen Interpretation’ of a theory that is only a mathematical approach to the level of reality characterized by atoms and electrons. This critique is based on the oldest approach to thinking about nature for over 2500 years, known as Natural Philosophy. Quantum mechanics (QM) was developed over the first quarter of the 20th Century, when scientists were enthralled by a new philosophy known as Positivism, whose foundations were based on the assumption that material objects exist only when measured by humans – This central assumption conflates epistemology (knowledge) with ontology (existence). The present critique rejects this human-centered view of reality by assuming material reality has existed long before (and will persist long after) human beings (“Realism”). The defensive view that the micro-world is too different to understand using regular thinking (and only a mathematical approach is possible) is rejected totally. At least 12 earlier QM interpretations are critically analyzed, indicating the broad interest in “what does QM mean?” The standard theory of quantum mechanics is thus constructed on only how the micro-world appears to macro measurements - as such, it cannot offer any view of how the foundations of the world are acting when humans are not observing it - this has generated almost 100 years of confusion and contradiction at the very heart of physics. Significantly, we live in a world that is not being measured by scientists but is interacting with itself and with us. QM has failed to provide explanations: only recipes (meaningless equations), not insights. Physics has returned to the pre-Newtonian world of Ptolemaic phenomenology: only verifiable numbers without real understanding. The focus needs to be on an explicit linkage between the micro-world, when left to itself, and our mental models of this sphere of material reality, via the mechanism of measurement. This limits the role of measurement to confirming our mental models of reality but never confusing these with a direct image of ‘the thing in itself’. This implies a deep divide between reality and appearances. This paper proposes that it is the attempt to preserve continuum mathematics (especially calculus), which drives much of the mystery and confusion behind all attempts to understand quantum mechanics. The introduction of discrete mathematics is proposed to help analyze the discrete interactions between the quintessential quantum objects: the electrons and their novel properties. Additionally, several hidden major assumptions have been present in Classical Mechanics (represented by continuum mathematics) since its inception by Newton that are blocking progress and understanding of quantum mechanics. A related paper demonstrates that it is possible to create a point-particle theory of electrons that explains all their peculiar (and ‘paradoxical’) behavior without introducing the continuum mathematical ideas of fields or waves. * Surrey, B.C. Canada (604) 542-2299 spsi99@telus.net Version 1.195 10-07-2016 Begun 23-06-2008 {pp. 80, 70.4 Kw; 800 KB}This paper re-opens the debate on the failure of quantum mechanics to provide an understandable view of micro-reality. A critique is offered of the commonly accepted ‘Copenhagen Interpretation’ of a theory that is only a mathematical approach to the level of reality characterized by atoms and electrons. This critique is based on the oldest approach to thinking about nature for over 2500 years, known as Natural Philosophy. Quantum mechanics (QM) was developed over the first quarter of the 20th Century, when scientists were enthralled by a new philosophy known as Positivism, whose foundations were based on the assumption that material objects exist only when measured by humans – This central assumption conflates epistemology (knowledge) with ontology (existence). The present critique rejects this human-centered view of reality by assuming material reality has existed long before (and will persist long after) human beings (“Realism”). The defensive view that the micro-world is too different to understand using regular thinking (and only a mathematical approach is possible) is rejected totally. At least 12 earlier QM interpretations are critically analyzed, indicating the broad interest in “what does QM mean?” The standard theory of quantum mechanics is thus constructed on only how the micro-world appears to macro measurements - as such, it cannot offer any view of how the foundations of the world are acting when humans are not observing it - this has generated almost 100 years of confusion and contradiction at the very heart of physics. Significantly, we live in a world that is not being measured by scientists but is interacting with itself and with us. QM has failed to provide explanations: only recipes (meaningless equations), not insights. Physics has returned to the pre-Newtonian world of Ptolemaic phenomenology: only verifiable numbers without real understanding. The focus needs to be on an explicit linkage between the micro-world, when left to itself, and our mental models of this sphere of material reality, via the mechanism of measurement. This limits the role of measurement to confirming our mental models of reality but never confusing these with a direct image of ‘the thing in itself’. This implies a deep divide between reality and appearances. This paper proposes that it is the attempt to preserve continuum mathematics (especially calculus), which drives much of the mystery and confusion behind all attempts to understand quantum mechanics. The introduction of discrete mathematics is proposed to help analyze the discrete interactions between the quintessential quantum objects: the electrons and their novel properties. Additionally, several hidden major assumptions have been present in Classical Mechanics (represented by continuum mathematics) since its inception by Newton that are blocking progress and understanding of quantum mechanics. A related paper demonstrates that it is possible to create a point-particle theory of electrons that explains all their peculiar (and ‘paradoxical’) behavior without introducing the continuum mathematical ideas of fields or waves. * Surrey, B.C. Canada (604) 542-2299 spsi99@telus.net Version 1.195 10-07-2016 Begun 23-06-2008 {pp. 80, 70.4 Kw; 800 KB}

Dec 1, 20160 citations

\pi

V_a = x\,V_b

, governed by the single relation

\pi \equiv kT/L

The Panvitalistic Theory (PVT) replaces the external time parameter of conventional quantum mechanics with internal angular curvature

\pi \equiv T/L

. The dynamics of any physical system are governed solely by the volume-invariance constraint

\delta V = 0

in a discrete, rational 12-dimensional spacetime. We derive the complete set of 12 volume operators and their geometric commutator algebra, show that the time-dependent Schrödinger equation is an artefact of an ontologically inconsistent external-time postulate, and re-derive the Bohr model of the hydrogen atom—including radii

r_n

, energy levels

E_n \propto -1/n^2

, and the fine-structure constant

\alpha

—directly from the volume constraint. A macroscopic Earth-satellite analogue confirms the geometric origin of quantization. The framework eliminates the measurement problem, the problem of time, and the QT–GRT incompatibility at the axiomatic level while reproducing all spectroscopic successes of standard quantum theory.

\pi

as a dimensioned quantity (

\pi \equiv T/L

), treats life as a fundamental mathematical axiom, provides an explicit model of free will, and offers a radical de-mathematization. These characteristics position the PVT as a fundamentally different approach that addresses several persistent problems of contemporary programs from a genuinely new foundational angle.

N

-body problem where only dimensionless ratios are physically meaningful. Within this framework, the scale-invariant variety

V

becomes a central quantity, providing a measure of structure, a natural ordering of shapes, and an emergent gravitational arrow of time. We argue that the resulting formulation unifies classes of Newtonian solutions previously regarded as distinct, uncovering a possible new symmetry, suggests a notion of explanation based on timeless spatial correlations rather than temporal evolution, and points towards a more economical ontology. Although developed in the context of Newtonian gravity, the principles proposed here may also offer a new perspective on general relativity and quantum mechanics.