Updated Comment: “Physical Time as Human Time”

In a previous post, I presented a Comment for an online forum on a paper by Gruber,  Block and Montemayor, 2022 that discusses the alleged conflict between “physical time” and the human experience of time. Since that time, an additional target paper was added for the discussion, and I’ve made my comment shorter and more concise. What follows is that updated comment.

Physical Time as Human Time

Ruth E. Kastner1

1University of Maryland, Department of Philosophy, College Park, MD, USA

* Correspondence:
Ruth E. Kastner

Keywords: Time, Flow of Time, Spacetime, Change, Cosmology, Quantum Substratum

Abstract:  I dissent from the standard assertion of a “Two Times Problem,” in which physical time is taken as being at odds with the human sense of a “flow of time.” I provide a brief overview of the case to be made for the contrary view: namely, that physical theory is indeed consistent with a genuine temporal dynamism that takes into account the quantum level in connection with spacetime emergence, the latter being supervenient on specific quantum processes.


My response to “Physical Time Within Human Time” (Gruber,  Block and Montemayor, 2022), will be to dissent from what I will call the Received View (RV) of the topic, which sees a “Two Times Problem” (TTP) in which “physical time” is incompatible with “human time.” Two key assumptions underlying the RV are presented in Rovelli and Buonamano (2022):

(i) All elementary mechanical laws of nature that we know are invariant under reversal of the direction of time.

(ii) Relativity is incompatible with an objective notion of a global present.

I take issue with both of these. Firstly, (i) is not necessarily true. Perhaps more precisely, the phrase “that we know” really means “that we are willing to consider,” where that means excluding the possibility of real non-unitarity at the quantum level. On the other hand: if there is real non-unitarity, then physics gains a temporal direction and irreversibility, which falsifies (i). I have already provided specific reasons to think that we don’t need to accept (i) in Kastner (2017) and in Kastner (2022, Chapters 5 and 8).[1]

 Regarding (ii), relativity can indeed be compatible with a kind of global present once the quantum level is taken into account as a substratum for an emergent spacetime, such that relativity is no longer assumed to be “the whole story.” Instead, relativity can be understood as describing the emergent 3+1 construct only, a proper subset of the entire physical domain–the latter including the quantum substratum (QS). The QS constitutes the global present. In other words, the mistake in (ii) is expecting the present to be located within the spacetime manifold itself. This expectation is a byproduct of the naive view that spacetime is a kind of “container” or background for all that exists. Let us call this the “spacetime background” assumption, or STB. In short, my claim is that the STB is just as obvious–and yet wrong–as the idea that the Sun goes around the Earth; and the paradigm shift we need is of that order.

Thus, neither of the key assumptions leading to an apparent TTP is obligatory, although they are generally presented as such. Indeed, and with all due respect to those who believe ortherwise: rather than “established science,” these assumptions are “established dogmas.” Once these inappropriate ground rules are rejected based on more comprehensive physics, there need be no discrepancy between “physical time” and “human time.”

While I do not have the space to go into detail here, I have argued (since Kastner, 2010, 2012) that STB is precisely what quantum theory demands of us to question—that in fact, 3+1 spacetime does not exhaust the cosmological reality of our world. Thus I maintain that the STB presupposition is what is illusory, while the standard problematic takes it as a veridical component of the world. My research has made the case that physics could indeed be describing the same world that we experience as involving change and dynamism from the standpoint of a factually persistent (at least for some length of proper time) entity. The key ingredient in this new picture (cf. Kastner 2010-2022) is integration of the quantum level in an unorthodox (but, I argue, fruitful) formulation. This formulation contradicts the usual view that a physical system (exemplified by a human being) is “a conglomerate of impermanent events.”[2] However, rather than stemming from “a desire not to be ephemeral,”  this view arises simply from taking quantum physics into account in the ontology, such that it is appropriately integrated with the spacetime level.

As noted above, a key aspect of this treatment is acknowledging that quantum systems are not components of the 3+1 spacetime construct, but rather are precursors to it, as sources of potentiality (see, e.g. Kastner, Kauffman and Epperson, 2018). A quantum system such as hydrogen atom is indeed a persistent entity at the QS level, even as it participates in the creation of spacetime events.[3] The system itself is not reducible to those spacetime events, which are activities of the system, distinct from the system itself.  Nevertheless, fermionic quantum systems have basic temporal attributes arising from their half-integral spin. This periodicity serves to define proper time and reflects persistence of the quantum system, whose ontological nature is not defined or delimited by any particular spacetime event(s).

Quantum systems can, under suitable and well-quantified conditions (Kastner and Cramer, 2018), give rise to actualized events, which are the elements of an emergent spacetime construct; thus 3+1 spacetime is supervenient, not fundamental.[4] The events in question are essentially the outcomes of “quantum measurements,” and their occurrence (via non-unitarity) breaks the elementary time symmetry referenced in (i). However, the term “measurement” has no anthropomorphic content but simply denotes a physically real non-unitary interaction resulting in the transfer of a real photon. This establishes a pair of linked, actualized events: emission and absorption of a photon, while the photon itself is their invariant connection (a null interval). Thus, what we call “spacetime” is nothing more than a set of events connected by null intervals: in strict ontological terms, there is neither “time” nor “space” (in any invariant sense) in that manifold. Instead, the metrical notions of “time” and “space” are references by which we describe the occurrence of those events relative to an underlying QS periodicity.[5]

An animation introducing the basic idea is available below:

1 Animation: “Quantumland and Transactions,” also available at https://youtu.be/IrMggF2Ikhw

In sum, the impression that we “exist in spacetime” is ironically a non-veridical VR-type experience, a feature of a kind of “user interface” that serves the purposes of biological organisms. “Spacetime” is a phenomenal, emergent level that should not be mistaken as the fundamental physical level at which we exist, which is the quantum substratum. The similarities of this picture to ancient knowledge traditions–e.g. the Eastern concept of “Maya” or the shadows on the wall of Plato’s Cave as the phenomenal spacetime level–may also be noted.

Acknowledgments. I thank Gruber et al for their invitation to offer this Comment.


Einstein, A. (1916). “The Foundation of the General Theory of Relativity,” as translated in H. A. Lorentz et al. The Principle of Relativity. New York: Dover.

Gruber, R. P., Block, R. A., and Montemayor, C. (2022).  “Physical Time Within Human Time,” Frontiers in Psychology, HYPOTHESIS AND THEORY. doi: 10.3389/fpsyg.2022.718505

Gruber, R. P., Montemayor, C., and Block, R. A. (2020b). From physical time to a dualistic model of human time. Found. Sci. 25, 927–954. doi: 10.1007/s10699-020-09670-4

Kastner, R. E. (2010). “The Quantum Liar Experiment in Cramer’s Transactional Interpretation,” Stud. Hist. Philos. Mod. Phys. 41, 86-92.

Kastner, R. E. (2012).   The Transactional Interpretation of Quantum Mechanics: The Reality of Possibility. Cambridge University Press (2012).

Kastner, R. E. (2015).   Understanding Our Unseen Reality: Solving Quantum Riddles. Imperial

Kastner, R. E. (2016). “The Emergence of Spacetime: Transactions and Causal Sets,” in Licata, I. (Ed.), Beyond Peaceful Coexistence. Singapore: World Scientific.  arXiv:1411.2072

Kastner, R.E. (2017) “On Quantum Non-Unitarity as a Basis for the Second Law of Thermodynamics,”  Entropy 19(3) (2017). arXiv:1612.08734

Kastner, R. E. (2018).  “On the Status of the Measurement Problem: Recalling the Relativistic Transactional Interpretation,” Int’l Jour. Quan. Foundations, Volume 4, Issue 1, pages 128-141.

Kastner, R. E. (2019).  Adventures in Quantumland: Exploring Our Unseen Reality. World Scientific.

Kastner, R. E. (2020).  “Decoherence in the Transactional Interpretation,” International Journal of Quantum Foundations 6, 2:24-39 (2020).

Kastner, R. E. (2022).   The Transactional Interpretation of Quantum Mechanics: A Relativistic Treatment. Cambridge University Press (2022). (2nd Edition of Kastner, 2012)

Kastner, R. E., S. Kauffman, M. Epperson (2018). “Taking Heisenberg’s Potentia Seriously,” International Journal of Quantum Foundations 4:2, 158-172.

Kastner, R. E. and Cramer, J. (2018).  “Quantifying Absorption in the Transactional Interpretation,”  Int’l Jour. Quan. Foundations, Vol. 4, Issue 3, 210-222.

Kastner, R. E. and Kauffman, S. (2018). “Are Dark Matter and Dark Energy Aspects of the Same Physical Process?”  Front. Phys., 13. https://doi.org/10.3389/fphy.2018.00071

Rovelli, C. (2018). The Order of Time. New York, NY: Riverhead Books.

Rovelli, C. and Buonamano, D. (2022). “Bridging the Neuroscience and Physics of Time,” to appear in Time and Science (ed. Lestienne & Harris).

[1] Physical non-unitarity also provides a solid grounding for the decoherence program, which founders on improper mixtures if there are “really” only unitary processes. This is discussed in Kastner (2020).

[2] The authors discuss an experiment (Gruber et al., 2020b) in which a subject is wearing a virtual reality apparatus that essentially immerses her in a spacetime map taken as a background against which she can move “back and forth” relative to a time index on the map. However, the user simply experiences the implications of the model as programmed into the VR apparatus. The ability to illustrate the model’s implications does not demonstrate that the model describes the world. Note also that the experiment does not test (or refute) the experienced continuity of the experimental subject herself. Thus, it remains open to question whether real systems (like people) are in fact reducible to conglomerates of events in a STB.

[3] The Whiteheadian character of this ontology is noted in Kastner (2019), Chapter 5. It is discussed in further detail in Kastner (2022), Chapter 8. It arises straightforwardly from acknowledging that Hilbert space is not commensurable with 3+1 spacetime and that object described by Hilbert space quantities therefore cannot exist in spacetime. In other words, if the Hilbert space states of quantum theory refer to physically real objects, then physical ontology cannot properly be delimited by 3+1 spacetime.

[4] For details, see Kastner (2022, Chapters 5 and 8; relevant excerpted material is available in preprint form: https://arxiv.org/abs/2101.00712, https://arxiv.org/abs/2103.11245) and also Kastner and Cramer, (2018), Kastner (2018).

[5] Thus “inertial frames” are not ontological features of the spacetime manifold but are referential descriptions relative to a quantum system in the QS. The implication is that a “spacetime diagram” drawn with respect to a given inertial frame is a view of actualized events from beyond spacetime (but there exist no events in any observer’s “future light cone,” since events are created in the present and fall away from us, or away from any rest-mass system). If there are no actualized events, then there is no view of spacetime–because in that case there is no spacetime, just the QS. Einstein likewise noted that “spacetime” should not be identified with any coordinate background but just the invariant set of events themselves, although he described these as “point-coincidences” (Einstein 1916, p. 117).

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