{"id":"380b7654-db75-4bc3-97ee-5a4bb65cfa31","arxiv_id":"2412.17858","paper_version":1,"verdict":"CONDITIONAL","confidence":"MODERATE","novelty_score":4.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":0,"one_line_summary":"Energy is the actuality of formal properties in quantum fields, distinct from matter and mass, and is a primary, irreducible component of physical reality.","lead":"This paper argues that energy is not a substance, a field, or a kind of matter, but rather the activity that makes the capacities of quantum fields become real. It uses concepts from quantum field theory and Aristotelian philosophy to claim that energy is a fundamental and irreducible component of reality.","discovery_kind":"extension","skeptic_critique":{"model":"deepseek-v4-flash","headline":"The distinction between energy and quantum fields rests on the convention-dependent claim that vacuum fluctuations have zero energy; if normal-ordering is not a physical fact, the central act/potency definition lacks support.","rationale":"Reader's weakest assumption is the importation of [7]'s ontology; I agree that is load-bearing, but the more precise and testable weakness is the zero-energy vacuum argument, which is the specific physical premise that separates energy from the field's matter. The paper's own strongest evidence is that fields 'cannot be switched off' and vacuum fluctuations are 'at nul energy' (Sec. II.C; footnote 9). If that energy is only zero by normal-ordering convention, the central distinction loses its empirical anchor. I do not accuse the authors of error; the argument is internally coherent if one grants the ontology and the normal-ordering convention. But the paper treats a formal choice as a discovered fact. The proposed check would settle whether this concern lands: if all QFT observables are invariant under constant Hamiltonian shifts, the premise is not physical; if some observable picks out the zero (e.g., gravitational coupling), the premise has support. Because the verdict is already CONDITIONAL, I leave it unchanged; the paper should make explicit that the zero-energy claim is convention-dependent or supply a physical argument for the absolute energy scale.","tokens_in":16322,"tokens_out":5588,"duration_ms":52923,"concrete_test":"Compute the vacuum expectation value of the normal-ordered and non-normal-ordered QED Hamiltonian, and test whether any observable used in Sec. II (e.g., ⟨0|Aμ|0⟩, photon/electron propagators, the interaction vertex (6), or a Casimir-force calculation as in [22]) changes under H → H + c. If all such quantities are invariant while ⟨H⟩ changes from 0 to E0, the statement 'vacuum fluctuations at zero energy' is shown to be a convention; repeating the Sec. II.C argument with E0 ≠ 0 removes the ground for claiming fields are not made of energy.","verdict_should_be":"UNCHANGED","load_bearing_attack":"In Sec. II.B.1 (footnote 9) and Sec. II.C, the paper's central distinction depends on the assertion that in the vacuum state of QED-like systems 'the various fields fluctuate into each others, each at zero energy: They exist at energy zero.' On this basis the authors conclude that quantum fields are not made of energy, because a field can persist with no energy (Casimir's remark), and hence energy is not primary matter but the act of a formal property (Sec. IV.B). The load-bearing premise is that 'zero energy' is a physical property of the vacuum. In flat-space QFT, however, the absolute energy of the vacuum is not observable: the Hamiltonian is normally ordered to make H|0⟩=0, and any constant shift H' = H + c leaves all transition amplitudes, propagators, and S-matrix elements unchanged. The cited 'positive character of energy' and additivity hold by construction for the normal-ordered Hamiltonian, not as an empirical fact about the field's ground state. If the vacuum is assigned a nonzero energy (as in un-normalized or gravitational treatments), the field's ground state contains energy, and the inference 'fields can exist deprived of any energy' fails. The argument's force therefore depends on a convention, not on QFT's empirical content. Even granting the ontology of [7], this is the specific step that carries the load.","agreement_with_reader":"partial"},"referee_report":{"model":"deepseek-v4-flash","summary":"The paper proposes a metaphysical account of energy, arguing that energy is neither a substance, a field, nor primary matter, but rather the 'act of a formal property.' The argument proceeds in three steps. First, at the elementary scale, the authors recall that the elementary quantum fields (17 fields of the Standard Model) are the first material determinations, and that their associated particles are modes of actualisation of these fields. They use the mass-energy equivalence E=mc2, the Higgs mechanism, and the structure of interaction vertices to argue that energy is omnipresent but not a thing. Second, they argue that energy cannot be primary matter because quantum fields cannot be switched off by removing energy: even in the vacuum state the fields fluctuate, and in their reading these vacuum fluctuations occur at zero energy. Third, they translate this into the Aristotelian scheme of act and potency, defining energy as the actuality of formal properties, and conclude that the Universe contains a finite and conserved energy, with quantum fields as compounds of primary matter and formal properties, and elementary particles as their actualisations.","tokens_in":16551,"tokens_out":3010,"duration_ms":29606,"significance":"If the argument were successful, it would provide a coherent metaphysical interpretation of energy that connects contemporary quantum field theory with the Aristotelian notions of act and potency, and it would offer a principled way to distinguish energy from matter, mass, and fields. The paper is valuable in drawing attention to genuinely puzzling features of QFT, such as vacuum fluctuations, the non-switchability of quantum fields, and the distinction between mass and energy. The authors are explicit about their reliance on earlier work, and they engage seriously with philosophical sources. However, the central inference rests on a convention-dependent reading of vacuum energy, and the ontological premises are imported from previous papers without being defended here. The paper is therefore more suggestive than demonstrative in its current form.","major_comments":[{"comment":"The assertion that in the vacuum state the fields 'fluctuate into each others, each at zero energy' is presented as a physical fact, but in flat-space QFT the absolute zero of energy is a convention. The normal-ordered Hamiltonian is defined so that H|0>=0, and adding a constant c to H leaves all transition amplitudes, propagators, and S-matrix elements unchanged. Therefore the statement that a field can exist 'deprived of any amount of energy' (Section II.B.1) is not an empirical property of the vacuum but a chosen normalization. This step is load-bearing for the act/potency definition in Section IV.B, because without it the inference that fields are not made of energy has no ground.","section":"Section II.C, footnote 9"},{"comment":"The identification of elementary quantum fields as 'first determinations' composed of primary matter plus formal properties is imported from the authors' earlier paper [7] and related work [8], but the derivation is not summarized or defended in the present manuscript. The central distinction between energy and the field then rests on an external ontology. If that ontology is not granted, the conclusion that energy is the act of a formal property is not supported by the QFT material presented here. The paper should state which empirical facts constrain the notions of primary matter and formal properties, or provide an independent argument for these premises.","section":"Sections II.A and II.C"},{"comment":"The claim that the mathematical formalism 'is able to testify' that fields exist at zero energy is supported by the in-preparation reference [20]. As [20] is not available, this is not checkable support for a load-bearing assertion. The paper should either present the argument in the present text or cite a published source for the claim that zero-energy vacuum fluctuations testify to the persistence of quantum fields without energy.","section":"Footnote 9 and Section IV.B"},{"comment":"The conclusion that 'the universe is filled with a finite and conserved energy' does not follow from the preceding discussion. The premise 'energy is always received in something and is thereby finite' is a metaphysical claim, not a physical derivation; the text itself concedes that whether the energy of the Universe is finite cannot be decided. As stated, the conclusion is ambiguous between a claim about individual energy receptions and a global physical assertion that would require empirical or theoretical support.","section":"Section IV.B.2 and Conclusion"},{"comment":"The statement that 'no protocol ever would transform a cat into energy' is used to argue that mass acquires autonomy from energy at larger scales, but it is not derived from any physical law and is not precise as written, since a cat's rest mass energy is already a form of energy. The argument would need a precise criterion for when E=mc2 conversions are operational rather than conceptual, otherwise the claimed autonomy of mass is asserted rather than established.","section":"Section III.A.1"}],"minor_comments":[{"comment":"The reference [20] has a typo in its title: 'Classical and quantum pysics' should be 'Classical and quantum physics'.","section":"References, [20]"},{"comment":"The phrase 'antis cosmological concepts' appears to be a typo; it should likely read 'ancient cosmological concepts'.","section":"Section II.A"},{"comment":"Equation (11) is described as 'covariant'; more precisely it is Lorentz-invariant, and the wording could be adjusted to avoid conflating covariance with invariance.","section":"Equation (11)"},{"comment":"The term 'impulsion' is used for three-momentum; since this is an unusual term in English, it should be defined or replaced with 'momentum' to avoid confusion.","section":"Section III.A.1"}],"recommendation":"major_revision","confidential_remarks":"The paper relies very heavily on the authors' prior publications [7] and [8], and the present argument does not stand alone. The normal-ordering point raised in the report is the most serious technical issue; if the authors can reframe the zero-energy claim as a convention-independent statement, the central thesis may become defensible. The philosophical framing is appropriate for the journal's scope, but the current manuscript is not self-contained enough to be accepted as is."},"author_rebuttal":null,"desk_editor":{"model":"deepseek-v4-flash","letter":"What you should know: this is a philosophy-of-physics paper, not a physics result, and its central argument is load-bearing fragile at exactly one technical point. The authors argue that energy is neither a field nor matter but the act of a formal property, and they support this by claiming that quantum fields can exist at zero energy, as shown by vacuum fluctuations. That claim is convention-dependent in flat-space QFT: normal-ordering sets H|0>=0, but adding a constant to the Hamiltonian changes no observable. The stress-test note is right about this. If the vacuum is assigned nonzero energy, the inference 'fields can persist without energy' collapses, and with it the act/potency distinction as derived here.\n\nWhat the paper does well: it is honest, well-structured, and actually new in applying the authors' earlier act/potency ontology specifically to energy. The two indirect definitions—energy opposed to primary matter, energy as act of a formal property—are clearly stated and philosophically coherent. The physics it cites (E=mc2, Higgs mass, renormalization) is standard and mostly used correctly. The authors are transparent that the field ontology is taken from their own prior work [7,8], and the argument is internally consistent within that framework.\n\nSoft spots beyond the vacuum issue: the ontology itself is imported whole from [7] and not defended here; one supporting reference is an in-preparation paper [20]; and the conclusion that the Universe contains finite, conserved energy is flagged in the text as a venture but then asserted in the conclusion without the caveat. These are proportional to the paper's nature as an interpretive essay, but they are real.\n\nThis paper does not change physics. It offers a metaphysical reading underdetermined by QFT at the crucial step. Still, it is a serious, readable contribution to the neo-Aristotelian philosophy of quantum fields, and it deserves a careful referee in a philosophy-of-physics venue. For a physics journal, I would not desk-reject, but the referee should be directed to the vacuum-energy normal-ordering problem specifically.","headline":"A clear Thomistic reading of QFT energy, but the central inference rests on a convention-dependent zero-energy vacuum claim and on the authors' own prior ontology.","tokens_in":17118,"tokens_out":2679,"would_cite":false,"duration_ms":26998,"reading_group":"maybe","serious_thinker":"yes","would_accept_peer_review":true},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":[],"pacs":["03.65.-w","01.70.+w"],"model":"deepseek-v4-flash","headline":"This paper argues that energy is neither a field nor a substance nor primary matter, but the act of a formal property: the activity through which quantum fields actualise into measurable particles and stable bodies.","keywords":["energy","quantum fields","act and potency","primary matter","mass-energy equivalence","vacuum fluctuations","conservation of energy","philosophy of physics"],"falsifier":"Measure whether empty spacetime itself carries a nonzero energy density that cannot be renormalised away by a constant counterterm. The paper's account predicts that quantum vacuum fluctuations are purely potential and carry zero energy, so a physically effective vacuum-energy density intrinsic to spacetime, for example a cosmological constant term that cannot be traced to energy received in any particular field, would show that energy can exist outside the actualisation of a formal property and would falsify the central claim.","tokens_in":16045,"feed_emoji":"⚡","tokens_out":12342,"duration_ms":103817,"temperature":0.7,"pith_summary":"Energy is usually treated as a measurable quantity or a substance that can be stored and transferred, but this paper argues that such descriptions miss what energy is. The authors claim that energy is neither a field, nor a thing, nor primary matter, but an act: specifically, the act of a formal property, the activity through which a quantum field's built-in capacities to propagate and interact are brought into measurable actuality. This matters because it turns 'what is energy?' from an open puzzle into a precise philosophical and physical claim with consequences across scales: energy is conserved because it is communicable, it is always the energy of something, and it is a primary datum of nature on the same footing as matter and the elementary fields. If the argument works, the elementary building blocks of the universe are not fields alone but fields together with their interactions, actualised by energy.","feed_headline":"Energy is neither matter nor field, but an act","feed_subtitle":"The paper argues that energy is the activity that turns quantum fields into particles, never a substance on its own.","key_machinery":"The load-bearing machinery is the potency-act distinction applied to quantised fields. The authors take the zero-energy vacuum fluctuations of quantum fields as evidence that a field can exist as pure potential reality, deprived of actuality, and they take energy to be that which actualises a field's formal property into a measurable excitation. The covariant dispersion relation $E^2 = m^2 c^4 + p^2 c^2$ then carries the macroscopic half of the argument: because mass is a relativistic invariant, it functions as a first act fixed in a substance's definition, while the momentum-dependent term is a variable second act, so energy is genuinely dual in a stable body.","core_discovery":"The central claim is that energy is the act of a formal property: it stands to a quantum field's capacity to propagate, receive, and interact as act stands to potency. On this account the seventeen elementary quantum fields are the first material realities, each a compound of primary matter and formal properties; energy is what actualises those formal properties into measured particles, and through chains of acts into stable substances with mass. The paper therefore denies that there is any pure energy or any reservoir of energy outside fields, and it distinguishes energy from mass: mass is an invariant, substance-determining first act, while transferable energy is a second act subject to variation. In the conclusion this is condensed into the statement that energy is not a thing but a necessary component of things, not a property but an actuality of a property, and what pulls matter out of potentiality.","pith_inferences":["A natural extension is to read the paper's claim as a specific prediction about vacuum energy: if energy always inheres in a formal property, then any observed cosmic acceleration due to vacuum energy would have to be attributed to energy received in some field, not to energy of empty spacetime itself.","The act-potency scheme could be tested by asking whether every measurable energy transfer in the standard model can be traced to a corresponding interaction vertex; the account would be embarrassed by a process in which energy changes form without any field-to-field vertex.","The distinction between first and second act suggests a reinterpretation of binding energy in nuclei and hadrons: the roughly 99% of hadronic mass that comes from gluon energy would be first-act mass of the composite, not stored second-act energy, which is a testable way to phrase the mass budget of ordinary matter.","If the scalar field responsible for elementary masses turned out to be composite rather than elementary, the paper's reliance on a fixed list of seventeen elementary fields would need revision, because the list of formal properties to be actualised would no longer be primitive."],"forward_implications":["There is no such thing as pure energy: every instance of energy is energy received in, or possessed by, some quantum field or substance.","Mass and energy are not identical despite $E=mc^2$; mass keeps an invariant, substance-defining role, and a tiny but essential part of elementary mass has a different origin in the standard model's scalar sector.","An elementary quantum field cannot be switched off by removing its energy; its zero-energy vacuum fluctuations remain real but purely potential, so fields are not made of energy.","Energy is conserved because it is communicable between fields, never created or destroyed; the universe contains a finite, conserved energy rather than an infinite reservoir.","The elementary building blocks of the material universe are quantum fields together with their interaction diagrams, and energy is the component that projects their potential interactions into spacetime actuality."],"supporting_citations":[{"why":"Establishes the prior claim that the seventeen elementary quantum fields are the first material realities, compounds of primary matter and formal properties; the paper's energy-as-act thesis rests on this ontology.","marker":"[7]"},{"why":"Supplies the empirical basis for mass-energy equivalence by showing that about 99% of hadronic mass arises dynamically from gluon-field energy, while a small part comes from intrinsic masses.","marker":"[13]"},{"why":"Provides the observation that a quantum field cannot be extinguished by removing its energy, which grounds the distinction between a field and the energy that actualises it.","marker":"[32]"},{"why":"Refutes the idea of an infinite energy reservoir associated with the vacuum, supporting the paper's claim that there is no pure energy outside fields.","marker":"[22]"},{"why":"States the alternative position, that energy is the substance out of which all particles are made, which the paper argues against in identifying energy as act rather than primary matter.","marker":"[18]"},{"why":"Supports the realism about quantum fields needed for the argument by treating quantised fields as descriptions of genuine physical quantum realities.","marker":"[8]"},{"why":"Gives a concrete interaction process, lepton-pair production through a virtual photon, in which energy is transferred from one field to another, illustrating energy's communicability.","marker":"[17]"}],"fun_headline_variants":["Energy is the act, not a substance","Energy: actuality of properties, not a field","Energy pulls matter from potentiality to act","Energy: the doing that turns fields into particles","Neither field nor matter, energy is pure act"],"cache_read_input_tokens":3200,"weakest_assumption_plain":"The argument stands on the earlier conclusion that the seventeen elementary quantum fields are the first material realities, each made of an undetermined primary matter plus definite formal properties; if instead fields are themselves patterns of energy, or if the notion of primary matter does not apply to quantum field theory, the distinction between a field and the energy that actualises it loses its ground.","fun_headline_variants_meta":{"raw":{"variants":["Energy is the act, not a substance","Energy: actuality of properties, not a field","Energy pulls matter from potentiality to act","Energy: the doing that turns fields into particles","Neither field nor matter, energy is pure act"]},"model":"deepseek-v4-flash","effort":"low","cost_usd":0.000156,"raw_usage":{"total_tokens":1134,"prompt_tokens":777,"completion_tokens":357,"prompt_tokens_details":{"cached_tokens":384},"prompt_cache_hit_tokens":384,"prompt_cache_miss_tokens":393,"completion_tokens_details":{"reasoning_tokens":287}},"tokens_in":393,"tokens_out":357,"duration_ms":2578,"temperature":1.0,"reasoning_tokens":287,"cache_read_input_tokens":384,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-08-11T11:07:09.869433+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":"Measure whether empty spacetime itself carries a nonzero energy density that cannot be renormalised away by a constant counterterm. The paper's account predicts that quantum vacuum fluctuations are purely potential and carry zero energy, so a physically effective vacuum-energy density intrinsic to spacetime, for example a cosmological constant term that cannot be traced to energy received in any particular field, would show that energy can exist outside the actualisation of a formal property and would falsify the central claim.","supporting_citations":[{"cited_title":null,"cited_arxiv_id":null,"evidence_quote":"Establishes the prior claim that the seventeen elementary quantum fields are the first material realities, compounds of primary matter and formal properties; the paper's energy-as-act thesis rests on this ontology."},{"cited_title":"Accordingly, it is not a pure energy in itself, an energy totally deprived of form","cited_arxiv_id":null,"evidence_quote":"Supplies the empirical basis for mass-energy equivalence by showing that about 99% of hadronic mass arises dynamically from gluon-field energy, while a small part comes from intrinsic masses."},{"cited_title":"This is the case of elementary particles and of their subsequent compounds)","cited_arxiv_id":null,"evidence_quote":"Provides the observation that a quantum field cannot be extinguished by removing its energy, which grounds the distinction between a field and the energy that actualises it."},{"cited_title":null,"cited_arxiv_id":null,"evidence_quote":"Refutes the idea of an infinite energy reservoir associated with the vacuum, supporting the paper's claim that there is no pure energy outside fields."},{"cited_title":"Photons can be measured","cited_arxiv_id":null,"evidence_quote":"States the alternative position, that energy is the substance out of which all particles are made, which the paper argues against in identifying energy as act rather than primary matter."},{"cited_title":"The discovery of the Higgs boson at CERN in 2012 is perhaps the most dramatic example of the utility of the Drell-Yan mechanism [17]","cited_arxiv_id":null,"evidence_quote":"Supports the realism about quantum fields needed for the argument by treating quantised fields as descriptions of genuine physical quantum realities."},{"cited_title":"a ball) and its movement (e.g","cited_arxiv_id":null,"evidence_quote":"Gives a concrete interaction process, lepton-pair production through a virtual photon, in which energy is transferred from one field to another, illustrating energy's communicability."}],"review_version":1}