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Resolving Quantum Paradoxes with Energy Exchange and Precise Definitions

(Preliminary Draft)

Michael Rowen

August 5, 2026

Introduction

 

Modern physics rests on two foundational theories, quantum mechanics and general relativity, which together describe our physical universe from the subatomic to the cosmological scale with extraordinary empirical precision, yet these theories remain mutually incompatible and jointly incomplete. Quantum mechanics in particular harbors a series of foundational ambiguities at its core as its formalism fails to provide:

 

  • A physical account of what quantum particles are between measurements.

  • Definitions for what constModern physics rests on two foundational theories, quantum mechanics and general relativity, which together describe our physical universe from the subatomic to the cosmological scale with extraordinary empirical precision, yet these theories remain mutually incompatible and jointly incomplete. Quantum mechanics in particular harbors a series of foundational ambiguities at its core as its formalism fails to provide:itutes a measurement, a measurement device, an observation, and an observer.

  • A physical mechanism to explain how measurement produces definite outcomes from the indefinite wave states the formalism describes.

  • Rules to define the proper scale and scope of a quantum system prior to performing quantum mechanical calculations.

  • Whether/where the boundary exists between the quantum and classical worlds.

 

These ambiguities in standard quantum theory combined with an ad hoc “collapse postulate” that lies outside its formalism leads to a myriad of paradoxes precisely because many of its terms and rules remain undefined.  The Wave Energy Exchange (WEX) Principle removes ambiguities by offering precise definitions for undefined terms, which combines with a wave packet realism view resolves numerous paradoxes.

WEX proposes an ontology in which elementary particles are physically real, spatially extended energy patterns that propagate through 4D spacetime and exist independent of whether they are being measured or observed, while particles are treated as the momentary signatures of quantized energy-exchange events between wave packets.  Given the possibility that spacetime is emergent as opposed to fundamental, it is important to note that WEX takes no position on whether wave packets are fully contained within spacetime or possess structure that extends beyond it, it only asserts that wave packets are physically real objects that exist in and propagate through spacetime, exchanging energy at definite locations in spacetime.  In other words, the WEX ontology embraces the intrinsic wave nature of matter as what is physically real and fundamental while the particle nature of matter is simply evidence that an energy exchange event has occurred.  Quantum theory is treated as a set of tools and rules for modeling the behavior of these physically real energy patterns.  With this context established, let's explore the quantum scale starting with quantum physics' central mathematical tool, quantum wave functions.

 

Quantum Wave Functions

 

At the core of quantum theory lie wave equations, mathematical formulas that model the behavior of quantum systems over time.  The Schrödinger equation is the primary one used in quantum mechanics but there are other variations that model quantum systems moving at or near the speed of light (e.g. Klein-Gordon, Dirac, and Weyl Equations).  Quantum wave functions are specific solutions to wave equations that describe the state and information content of elementary particles, which can be mathematically combined to describe more complex multi-particle quantum systems.

 

​​Wave functions are complex vectors defined in infinite dimension Hilbert space.  WEX views these infinite dimensions not as physically real dimensions, but rather as a mathematical abstraction used to model the infinite degrees of freedom of possible properties that particles may have.  Wave functions require “normalization” of probabilities to ensure they sum to 100%, and some require more involved “renormalization” procedures to remove infinities that may arise in certain Quantum Field Theory (QFT) calculations.  ​Given the abstract nature of wave functions as they are defined, combined with the complex manipulations required to do calculations in quantum mechanics, wave functions are best understood not as real objects that exist in nature, but as abstract mathematical representations of physically real energy patterns that exist in nature.

 

The Intrinsic Wave Nature of Matter

Standard quantum physics treats elementary particles as having definite properties when they are being measured and lacking definite properties when not being measured.  Wave functions model the behavior of elementary particles between measurements as existing in superposition of many possible states at many possible locations with many possible properties, a view that requires the infinite dimensions of Hilbert space to describe the range of possible states of a single elementary particle.  Wave functions do not describe elementary particles when they are being measured, nor do they describe the definite, localized properties elementary particles exhibit when being measured, rather they model particles as energy waves spread out over a region of space which lack properties such as dimension, position, momentum, and spin. That quantum scale matter sometimes appears as a particle and sometimes as a wave led to the term “Wave-Particle Duality.”

 

Since particles are modeled as spread-out energy waves that only have properties during measurement leads to the WEX principle ontology that the intrinsic nature of matter is wave-like as opposed to particle-like.  This brings us to the first two WEX definitions:

  • Wave Packet: The term 'wave packet' is often used to describe elementary particles in their wave-like state, typically modeled mathematically as a superposition of quantum states within Hilbert space representing a localized energy pattern.  WEX builds on this definition by adding an explicit commitment regarding what this mathematics describes: the localized energy pattern itself is physically real, spatially extended, propagates through spacetime (though may not be limited to spacetime) and exists whether or not it is being measured or observed.  The WEX principle is based on an ontology that assumes wave packets are the fundamental physical objects that exist at the core of reality.

  • Particle Signature: The term 'particle signature' refers to the brief, localized physical manifestation of an energy exchange event, produced when a wave packet transfers a discrete quantum of energy (characteristic of its elementary particle type) to scientific equipment during measurement or observation. This transfer is what scientific equipment detects as a particle, thus represents the particle’s signature which only persists for a few femtoseconds during energy exchange events.

WEX explicitly rejects wave-particle duality as only the wave aspect of elementary particles (wave packets) is considered physically real.  A particle signature is not considered a persisting object nor a second mode of existence, but simply fleeting evidence that an energy exchange event has occurred.

An analogy is to think of a particle signature as similar to a lightning bolt.  One could create a wave function that describes the voltage differential between a storm cloud and the earth, modelling the potential energy contained in the storm cloud as spread out over its 3D structure which varies relative to the contours of the earth below.  As the cloud drifts over the earth, both its shape and voltage differentials are influenced by molecular and energy dynamics both inside the cloud and in the environment outside of the cloud, and by changes in the contours of the earth below.  The cloud’s wave function is thus evolving over time, analogous to quantum wave functions evolving over time.  One could view the cloud as containing a superposition of many potential lightning bolts that could strike the earth in many locations at any given moment.  At some point a voltage differential threshold is exceeded somewhere in the cloud which causes a lightning bolt to appear for a brief instant, traveling a specific and measurable path through space while transferring a specific and measurable amount of energy between the earth and cloud.  The lightning bolt quickly disappears, and a new wave function must be created to model the updated voltage differentials between the cloud and earth below.

Lightning blue.png

Wave packets are spread out over a region of space (like storm clouds), producing particle signatures (or lightning bolts) with measurable classical properties for brief instants during energy transfer.  The WEX interpretation rejects the idea that elementary particles can physically exist in superposition of being in multiple places at the same time because the WEX ontology is that the intrinsic nature of matter is physically real wave packets spread out over a region of space when not being measured.  Under WEX, superposition becomes an antiquated and misleading term left over from the classical physics era where particles were viewed as tiny 3D objects that have definite properties and permanent existence.  Embracing the intrinsic wave nature of matter means accepting that quantum scale matter can transfer energy from any point within the region of space its wave packet is spread over, just like a lightning bolt can transfer energy from any point in the region of space the cloud is spread over.  Quantum wave functions thus are mathematical models to predict where wave packet energy exchange events might occur, with the Born rule describing the probability distribution for energy exchange events occurring at specific points in spacetime.

Wave Function Collapse

In standard quantum physics it is the act of measurement or observation of a quantum system that physicists view as “collapsing the wave function” of the system, causing one of the many statistical possibilities to manifest into a single definite classical result.  Since this collapse of wave functions is not embedded within the wave equations of quantum formalisms, it is included as a separate “Collapse Postulate” outside of quantum theory as a non-physical discontinuity to bridge the gap between the quantum and classical worlds.

 

WEX interprets the localized detection event associated with measurement as evidence that a physical energy-exchange event has occurred, replacing the textbook notion of collapse with a physical mechanism.  Wave function collapse can thus be viewed as removing the uncertainty in a quantum system due to an energy exchange event. The uncertain state of the quantum system is eliminated by measurement, whereby certain properties of the system are precisely discovered at a specific point in spacetime where a particle signature appears, signifying that an energy exchange event has occurred.  After measurement, wave functions “collapse in their usefulness” in describing the new current state of the quantum system because the energy extracted from the system renders the prior wave function moot.  While WEX gives wave function collapse a physical identity, the interpretation acknowledges that the mechanism for selecting the specific site and moment of each energy exchange event remains an open question in quantum foundations.

Quantum Entanglement

Einstein famously questioned both the validity and completeness of quantum theory his entire life.  Einstein, Podolsky, and Rosen published a landmark paper in 1935 that they believed would demonstrate quantum theory to be incomplete.  The paper made a complex argument to show that if quantum theory is correct, then it is possible for two elementary particles to violate the principle of local causality embedded within all classical scientific theories, originally called the EPR paradox which became known as quantum entanglement over time.  In 1964 physicist John Bell developed an inequality theorem that provided a way to experimentally test the paradox, and in 1982 Alain Aspect and colleagues reported results that violated Bell’s inequality, establishing quantum entanglement as a real phenomenon.  Einstein assumed this strange behavior of quantum scale matter must be explained by local hidden variables, an assumption that Bell’s theorem and the experiments that followed ruled out.  The 2022 Nobel Prize in Physics was awarded to Alain Aspect, John Clauser, and Anton Zeilinger for this body of work. 

Imagine a star exploding in a galaxy one billion light years from earth.  The explosion causes photons to be emitted in all directions, with many pairs of "entangled" photons emitted that travel in the exact opposite directions from the exploding star.  Consider one pair of these entangled photons, photon A and photon B, which form entangled wave packet AB which contains two photon quanta of energy.

Now imagine photon A hits the retina in one of your eyes after traveling across the universe for one billion years.  When photon A hits your retina, the entangled connection is severed and its entangled partner (now referred to as photon B' in the illustration below) instantly adopts complementary properties to photon A.  An alien quantum physicist on a distant planet that subsequently measures photon B’ will discover the complementary properties established when wave packet AB was split in half by the energy exchange with your retina.

Entanglement split.png

WEX views entanglement as an aspect of the intrinsic wave nature of matter.  The wave packets of photon A and photon B were produced as a single unified wave packet AB carrying two photon quanta of energy in a bi-modal configuration, with two modes moving away from one another.  When wave packet AB encounters a system that causes it to exchange energy, such as your retina, a quantized particle signature is produced at the point of energy exchange.  Wave packet AB loses one photon quantum to your retina, leaving the residual quantum in photon B′.  Since photon A no longer exists, the entangled connection is split, and photon B′ is left with properties complementary to photon A's particle signature through universal conservation laws.

Conservation laws constrain the allowed correlations between the two modes of the unified structure.  Entanglement is best understood by viewing entangled wave packets as unified physically real objects rather than as two separate wave packets that were never causally independent systems.  When the unified wave packet exchanges energy at one mode, the properties at the other mode are constrained not because information travels between them, but because the constraint is a structural property of the single object itself.  No usable information is transmitted between the modes, consistent with the no-signaling theorem, and no observer at either location can detect anything unusual until the results are later compared.

WEX does not claim to restore local causality in the sense ruled out by Bell's theorem; it rejects the premise that the two photons were ever separate locally causal systems to begin with.  WEX's claim is that an entangled correlation is a property of a single physical structure rather than a signal passed between two structures, independent of whether that structure is fully resident in spacetime or possesses connectivity not reducible to spacetime separation.  WEX takes no position on how this structural connectivity relates to relativistic simultaneity, a question that remains open for every realist account treating measurement outcomes as definite, and one WEX inherits rather than resolves.

The Measurement Problem

The central mystery in quantum physics revolves around the “Measurement Problem” (aka. “Observation Problem”), which involves explaining how quantum scale matter transitions from a distribution of possible properties pre-measurement to a precise set of classical properties post-measurement.  The measurement problem is a direct consequence of a lack of definitions for what constitutes a measurement, a measurement device, and where the boundary lies between the quantum and classical worlds, if such a boundary exists at all.  It is the absence of these definitions that leads directly to the paradoxes of quantum physics such as Schrodinger’s Cat, Wigner’s Friend, and the Frauchiger-Renner paradoxes.  The WEX principle incorporates precise definitions for these three terms plus three additional terms that remain undefined in standard quantum theory, which when combined with the wave packet and particle signature definitions provided earlier, resolves numerous paradoxes that result from definitional ambiguities.

  • Measurement or Observation: The absorption of a quantum system's characteristic quantum of energy which produces a particle signature at the point of energy exchange.

  • Measurement Device or Observer: Any system that absorbs a quantum of energy from a quantum system and produces a particle signature at the point of contact.

  • Entangling Interaction: Any physical interaction between two wave packets that correlates their subsequent behavior without either wave packet transferring a discrete, characteristic quantum of energy to the other. Consistent with the treatment of entangled photon pairs described previously, the two wave packets are now treated as a unified spatially extended wave packet. Because no discrete quantum of energy is exchanged in forming this correlation, the entangling interaction does not produce a particle signature. The unified wave packet persists until a measurement occurs anywhere within its spatial extent that extracts a quantum of energy, which produces a particle signature at that location while irreversibly producing complementary properties in the remainder of the structure through conservation laws.

  • Absorbing Structure: A macroscopic arrangement of densely packed quantum systems, each individually capable of absorbing a quantum of energy, whose combined density and coupling strength make the aggregate probability of an energy exchange event occurring somewhere within the structure near certain. A photon wave packet reaching a detection screen encounters an Absorbing Structure: its spatially extended amplitude forms Entangling Interactions with many constituent atoms simultaneously, and an energy exchange is essentially guaranteed to occur at one of them, with the Born rule governing the probability of each location. This explains why dense matter reliably produces particle signatures while a wave packet encountering sparse matter — a single atom in its path, or a dilute gas — may continue with no exchange occurring at all. Whether the resulting exchange constitutes a Measurement or an Observation is a separate question, determined by whether the structure's presence establishes when and where the exchange occurs. A detection screen placed in a beam's path is an Absorbing Structure functioning as a measurement device; a scintillator array awaiting cosmic rays is an Absorbing Structure functioning as an observer. An Absorbing Structure determines that an exchange occurs, not which constituent system undergoes it, at what moment, or under which of the two definitions it falls.

  • Quantum System: The wave function for a quantum system should be written from the perspective of a measurement device or observer. If the system has undergone an entangling interaction with another wave packet, the wave function must describe the full spatial extent of the resulting unified wave packet, not merely the original system in isolation, until a measurement occurs anywhere within that unified structure. Furthermore, a wave function cannot contain a measurement device or observer inside the quantum system it describes.

  • No Quantum Boundary: Since the intrinsic nature of matter is wave-like, there is no boundary between the quantum and classical world where quantum dynamics cease to apply.

 

Researchers have demonstrated quantum effects in experiments involving increasingly larger and more complex configurations of matter.  Organic molecules with thousands of atoms have demonstrated the intrinsic wave nature of matter applies at the scale of complex molecules.  Micro-mechanical resonators made from trillions of atoms have demonstrated collective vibrational states that illustrate the intrinsic wave nature of matter at scales that are now visible with microscopes.  Quantum biology has produced evidence of quantum effects operating at the molecular and cellular scale in living organisms, including coherent energy transfer during photosynthesis and in retinal proteins that migratory birds appear to use for magnetic navigation.  This evidence suggests that the assumption that quantum effects cannot occur in macroscopic structures, nor in the wet, warm, and electromagnetically noisy environments of biological organisms, is incorrect.  Environmental interactions more broadly can also strongly suppress observable macroscopic coherence.  Quantum effects are theoretically independent of scale under the WEX principle as a natural consequence of the intrinsic wave nature of matter.

 

As researchers look for quantum effects in ever larger matter structures, the challenge becomes isolating and detecting the energy exchange events occurring between the wave packets that form matter structures against the backdrop of environmental noise.  The WEX principle suggests that wave energy exchange events are constantly occurring in all matter structures and at all scales independent of whether they can be detected by scientific instruments.

Schrödinger’s Cat and Nested Observer Paradoxes

 

This paradox involves placing a cat in a box with a radioactive atom, Geiger counter, and a vial of poison.  The Geiger counter will detect if the atom decays and is set up to break the vial which releases the poison and kills the cat.  It is unclear in standard quantum theory whether the cat qualifies as an observer nor whether the cat exists on the quantum or classical side of the undefined boundary between the two.  Given the lack of definitions, the paradox emerges when the cat is treated as part of the quantum system with everything else inside the box, resulting in the cat being viewed as existing in a "superposition" of simultaneously alive and dead until the box is opened and the cat’s fate is observed (and hopefully still alive!).​

 

Applying the WEX definitions to this paradox leads to the radioactive atom being the only relevant quantum system that needs to be described by a wave function to model the state of the cat.  The Geiger counter acts as a measurement device which detects whether the atom has released energy.  Neither the Geiger counter, vial, or cat should be included within the wave function.  The Geiger counter is excluded because the WEX definition of a quantum system explicitly excludes measurement devices from the system it observes.  The vial and cat are excluded because they are not involved in energy exchange.  The relevant boundary to define the wave function of the system is the atom alone.  WEX treats the cat as always possessing a definite physical state, while the radioactive atom is the quantum system whose decay probability determines the statistics of that state.

 

More complex versions of the Schrödinger’s Cat paradox involving multiple nested measurement devices and observers (e.g. Wigner’s Friend and Frauchiger-Renner paradoxes) are similarly resolved by recognizing the WEX principle explicitly excludes observers inside quantum systems.  The Frauchiger-Renner paradox leads to the claim that one of the following three core assumptions in the foundations of quantum physics must be incorrect:

 

  1. Universality: Quantum theory can be applied to everything, including observers and measurement devices.

  2. Consistency: Two physicists performing the same calculations on a quantum system will agree on the resulting statistical predictions of the system.

  3. Single Outcomes: Two physicists observing the same measurement of a quantum system will agree on the result.

 

Adopting the WEX definition of a quantum system narrows the scope of the “Universality” definition above by “explicitly excluding” observers and measurement devices rather than “explicitly including” them.  This dissolves the Frauchiger-Renner paradox at its source rather than requiring revision to the other core assumptions.

 

Double Slit Experiment

The double slit experiment is the most well-known quantum experiment because it directly illustrates the wave nature of matter.  A photon wave packet emitted from a light source will spread out over the region of space between the source and a barrier with two slits.  The wave packet will pass through both slits then begin spreading out as a bi-modal wave packet emerging from the two slits on the other side of the barrier.   As this bi-modal wave packet approaches the screen it will begin to interfere with itself, and when it hits the screen, it transfers its energy to the screen, appearing as a particle signature somewhere on the screen.

 

Successive photon wave packets produce a series of particle signature impacts that are distributed on the screen according to the statistics of a single self-interfering wave packet, resulting in the classic double slit interference pattern on the screen which directly illustrates the wave nature of matter.  This description is consistent with the WEX principle as the wave packets travel through both slits in their intrinsic wave state and appear as particle signatures when they transfer a quantum of energy to the screen.  The detection screen is an Absorbing Structure as defined above, dense enough that a measurement is essentially certain to occur somewhere on its surface, with the Born rule governing where each photon's particle signature appears.

Double Slit.png

If photon detectors are placed at the slits to detect which slit each photon passes through, the detectors will always find a photon at one of the slits and no interference pattern appears on the screen.  This is traditionally seen as illustrating the particle nature of matter which the WEX principle views as evidence that an energy exchange event has occurred. When detectors are used to identify which slit a photon is passing through, the photon wave packet always passes through both slits as a single spatially extended wave, never through one slit alone.  The wave packet has some probability of undergoing an energy exchange event at either detector, determined by the amplitude of the wave at each slit.  When an energy exchange occurs at one detector, a photon quantum of energy is exchanged between the wave packet and detector, producing a particle signature with a photon quantum of energy.  Since the wave packet carried exactly one photon quantum of energy, nothing remains of the wave packet to exchange energy with the detector at the other slit or with the screen.

Delayed Choice Double Slit Experiment

The delayed choice double slit experiment is a more complex version of the standard double slit experiment.  The mystery in this experiment is that a decision made 'after' the photon has already passed through both slits but ‘before’ it reaches the screen, appears to determine which of the two double-slit outcomes results. If no attempt is made to detect which slit the photon passed through, the standard interference pattern appears, exactly as in the ordinary double-slit experiment. If the decision is instead to detect which slit the photon passed through, the interference pattern disappears entirely, exactly as when detectors are placed directly at the slits. The puzzle is how a decision made after the photon's wave has already passed the barrier can seemingly determine, after the fact, which of these two well-established behaviors will be observed. 

 

Consider a photon wave packet that has already traveled through both slits and is at the midpoint between the barrier and the screen.  Like the entangled photons discussed previously, the photon wave packet remains a unified physical object extended throughout the space it has traversed.  When a detector at one of the slits extracts a photon quantum of energy from a part of the wave packet that remains at the slit, the energy exchange causes a particle signature to appear at the detector.  This requires the photon's wave packet to have a coherence length comparable to or greater than the distance between the slits and the screen (which is part of the experimental design in real-world delayed-choice experiments) in order for part of the wave packet to still be physically present at the slits when a detection choice is made.

 

The single-photon double-slit case and the two-photon entangled case can be viewed as instances of the same underlying mechanism.  In both cases, a measurement occurring anywhere within a spatially extended, non-separable wave structure extracts a quantum of energy at that location while constraining the remainder of the structure through conservation laws.  What differs between the two cases is why the structure remains extended and connected prior to measurement.  In the delayed-choice case, the extension is a self-coherence phenomenon where the wave packet remains present along the path it has traveled, bounded by the photon's coherence length.  In the entangled case, the connection between photon pair AB is not a self-coherence phenomenon but a structural property of the unified state fixed at pair creation and enforced by conservation laws at the moment either mode is measured, consistent with the evidence of entangled correlations surviving over distances far exceeding any realistic photon coherence length.

In the double-slit case, as the single photon wave packet advances toward the screen interfering with itself, it is also extended back through both slits as a single coherent bimodal wave packet in space.  This allows a detector at either slit to extract a photon quantum of energy, leaving no residual wave energy that can be transferred to the screen or a detector at the other slit. This is structurally similar to entangled photon pair AB as another example of a single coherent bimodal wave packet extended in space.  In this scenario, a measurement device can extract a single photon quantum of energy from either mode, splitting the entangled connection, leaving a residual photon quantum of energy at the other mode with complementary properties to the extracted photon.

 

The difference in outcome (no residual energy in the double-slit case but a residual quantum of energy in the entangled case) reflects a difference in the total initial energy of the extended wave packets, not a difference in the underlying principle. The double-slit wave packet carries exactly one photon quantum, so extraction at either slit depletes all its energy. The entangled wave packet AB carries two photon quanta, concentrated in the modes of its bimodal structure.  An energy exchange event triggered in either mode will extract a single photon quantum of energy from that mode, the minimum amount that can be extracted from wave packet AB, splitting the entangled connection and leaving a residual single photon quantum of energy in the opposite mode.  In both cases the same rule governs the outcome: a single coherent, spatially extended wave packet undergoes local energy exchange that conserves its total quantum content.  Standard quantum mechanics treats wave packets passing through a double-slit apparatus and entangled photon pairs as distinct phenomena, whereas WEX unifies them as rooted in the same underlying principle: physically real, spatially extended wave packets traveling coherently through 4D spacetime, with the potential for energy exchange occurring anywhere along its spatial extension.

WEX Explains Why Particle Signatures Appear but Not Where They Appear

When a wave packet reaches an Absorbing Structure, WEX's definitions describe the situation precisely: the wave packet's spatially extended amplitude forms entangling Interactions with many constituent atoms simultaneously, quantization and energy conservation guarantee that at most one completed measurement can occur per quantum carried, and the Born rule describes the statistical distribution of where that measurement occurs. What no existing quantum formalism supplies is the physical process that converts exactly one of those entangling Interactions into a completed measurement while the others simply never complete. Asking why the particle signature appears at this atom rather than that one is asking for a deterministic answer that quantum physics does not contain, an indeterminism WEX regards as an objective feature of nature that remains unresolved in quantum theory.  The Born rule describes the statistics of site selection, and nothing in the standard formalism describes its mechanism.

This question has a precise historical pedigree. In 1929, Nevill Mott confronted its original form: a radioactive nucleus emits an alpha particle as a spherically symmetric spreading wave, yet cloud chambers invariably record straight, localized tracks. Mott showed, using only unitary wave mechanics and no collapse postulate, that the joint amplitudes for multiple ionization events strongly suppress any sequence of events inconsistent with a single straight, momentum-conserving trajectory; each ionization focuses the amplitude for subsequent ionizations onto narrower cones around the line already established. Conservation laws and wave mechanics thus explain the structure that any realized outcome must exhibit. But Mott's own calculation leaves the direction of the track undetermined where the probability distribution over straight tracks remains spherically symmetric. Mott concluded only that it is admissible to postpone thinking of particles until they are actually observed. His analysis, later adopted by Joos and Zeh as the first concrete model of quantum decoherence, establishes what unitary wave mechanics can and cannot explain about measurement: it can explain only their consistency, not their selection.

Standard quantum optics reflects the same boundary. Glauber's photodetection theory, the universally used formalism for computing photon detection probabilities, is constructed as a probability rule for detection events layered on top of the field's unitary dynamics, not derived from them. The discipline's own foundational detection formalism thus concedes, in its very structure, what WEX asserts as ontology: the mathematical formalism models the behavior of physically real wave packets but does not, on its own, generate the real, discrete detection events that experiments record.

Physical mechanisms for the selection step have been proposed and remain under active investigation. Spontaneous collapse models, beginning with Ghirardi, Rimini, and Weber, add a stochastic localization process to the wave dynamics whose built-in amplification makes collapse negligible for isolated particles but essentially instantaneous for macroscopic aggregates, with minute, potentially testable departures from standard predictions. Penrose's gravitationally induced reduction proposes a physical origin for that collapse rate in the instability of superposed mass distributions. The transactional picture, originated by Cramer and developed relativistically by Kastner, locates the selection in a confirmed emitter-absorber transaction, a physically real, non-unitary completion of one exchange among many incipient possibilities. WEX is compatible with each of these and deliberately remains agnostic among them: WEX's definitions, wave packet ontology, and paradox resolutions stand independent of which mechanism ultimately proves correct.

Conclusion

 

The Wave Energy Exchange (WEX) principle proposes a comprehensive and precise set of definitions for the ambiguous terms in standard quantum theory, and a physical mechanism (quantized energy exchange) which together provides a unified physical description of quantum phenomena that avoids paradoxes.  WEX leverages standard quantum formalisms and thus requires no new mathematics, relying instead on precise definitions and an ontological claim to support its arguments.  WEX resolves the paradoxes that arise from quantum theory's undefined terms while explicitly acknowledging, rather than obscuring, the one open question every non-Everettian interpretation shares: the physical mechanism that selects the site and moment of each individual energy exchange event.  WEX asserts that the intrinsic nature of matter is physically real localized patterns of energy that propagate through 4D spacetime, interacting by exchanging quanta of energy at every scale of the universe, and existing independent of whether they are being measured or observed. 

Relevance of WEX to FMI

FMI is based on the assumption that mind is embedded in matter at all scales.  Standard quantum theory models quantum scale matter as an ethereal phenomenon existing in a superposition of many states and many places at the same time.  Under this view, mind embedded within quantum scale matter would also have to exist in this disembodied superposition of states, a requirement that presented significant challenges to FMI.  In order to make a coherent argument for mind existing in quantum scale matter it was necessary to establish an ontology where quantum scale matter was physically real and embodied within a single coherent structure, which led to the WEX ontology and WEX principle. 

 

Going a level deeper, standard quantum physics treats elementary particles as excitations in universal quantum fields, suggesting that quantum fields are what exists at the core of reality.  Elementary particles are considered to result from the interactions of excitations in multiple quantum fields, which presents a second disembodiment challenge to FMI that will be addressed in a subsequent discussion on quantum field theory.

Susskind
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