— a review of two cosmology papers presented at the International Conference on Creationism in 2018 (to be published in Journal of Creation)
In 2001 Jason Lisle (under the pen name Robert Newton) introduced the idea of Anisotropic Synchrony Convention (ASC) into the discussion amongst biblical creationists to solve the starlight travel-time problem.1 The ASC is a convention on clock synchronisation, or put another way, the conventionality of the simultaneity of distant events in spacetime.
This topic is relevant to the discussion of the creation of the stars in the universe on Day 4 of Creation week 6 thousand years ago. The ASC posits that an event occurs when an Earth observer sees, or could have seen, the event happen. And Lisle proposed that the ASC is the language used in the Bible. As such it leads to the initial simultaneous2 creation of all stars in the universe on Day 4, where, in principle, the event is timestamped3 as occurring when the starlight from all stars arrived on Earth for the first time. This means there is no light travel-time problem because the events were seen to occur (on Earth) simultaneously (or at least, within the period of one Earth day, that is, on Day 4). Therefore, there is no light travel-time problem.
In 2010 Lisle strengthened his original arguments with a discussion of the past light cone and Special Relativity.4 In that paper he introduced the ASC model, a model that uses the ASC. And his ASC model makes testable predictions.5
Lisle also carried further the notion of the one-way speed of light. Since the one-way speed of light cannot be measured it really has no physical meaning in the universe.6 Thus there is a free choice. And by Lisle’s choice of the ASC it follows that the incoming speed of light is infinite, and thus the outgoing speed must be ½ c (where c ≡ 299 792 458 m/s is the canonical isotropic—i.e. two-way—speed of light that we are very familiar with).7
Many people, biblical creationists included, have expressed disbelief, concern, and other emotions over the concept of the one-way speed of light being any different from the usually assumed isotropic speed c. Nevertheless it is important to note that concepts around the one-way speed of light are based on real physics.
The choice of a timing convention in no way affects any underlying physics. The physics is always the same no matter what convention one may choose.8 Einstein chose a value of the clock synchronisation parameter, known as the Reichenbach synchronization parameter (ε), in his equations for Special Relativity that defines the one-way speed of light as being equal to the two-way speed.9 Any value for the parameter ε between 0 and 1 may be chosen. Nature itself does not choose, nor impose any requirement on its value within this domain. The parameter represents our free choice of a timing convention. Hence we are free to choose any value of the Reichenbach synchronisation parameter ε, provided it is between 0 and 1. Einstein chose ε = ½ (ESC) and Lisle chose ε = 1 (ASC). Choosing a value for this parameter is in no way dissimilar to a choice of a different coordinate system. And regardless of which coordinate system one may choose the underlying physics is unaffected. What is different is only how we represent the physics in the different coordinate system. The equations of motion may be more complex in one coordinate system than in another but in all cases the physics is unaffected.10
Thus no amount of appealing to Maxwell’s equations (derived pre-Einstein)11 or any other well-known physics can refute the notion of free choice for the one-way speed of light, or more precisely, the conventionality thesis of distant simultaneity.
In most cases where this has been attempted it has been largely based on petitio principia (or begging the question, that is, assuming in the premise that you are trying to prove). Often the assumption is very subtle. But in all such cases, in the premise the speed of light is implicitly assumed to be isotropic and subsequently used to ‘prove’ that the one-way speed of light is equal to the isotropic (or two-way) speed of light.
Maxwell’s equations only predict an isotropic speed of light when the chosen value of the Reichenbach synchronization parameter ε = ½. The generalised Maxwell’s equations allow for non-isotropic propagation of light where ε ≠ ½. Therefore under the ASC with ε = 1 the non-isotropic propagation of light is permitted by Maxwell’s equations.12
And some argue that the one-way speed of light being different in opposite propagation directions is absurd. Nature just cannot be that way. They base that view on symmetry arguments, saying light must travel the same speed in all directions because that is the way the universe must be. This misses the whole point of the conventionality thesis. Because it is empirically impossible to measure the one-way speed of light, due to the fact that distant clocks cannot be synchronised except by sending a light signal, then one cannot say anything meaningful about the one-way speed.
In 1925 Reichenbach wrote:13
Thus we are faced with a circular argument. To determine the simultaneity of distant events we need to know a velocity and to measure a velocity we require knowledge of the simultaneity of distant events. The occurrence of this circularity proves that simultaneity is not a matter of knowledge, but of a coordinate definition, since the logical circle shows that a knowledge of simultaneity is impossible in principle (emphasis added).
Two new cosmologies
At the 2018 International Conference on Creationism (ICC) two papers were presented that largely boil down to the same model that Lisle originally presented. Those papers are
- T.G. Tenev, J. Baumgardner, and M.F. Horstemeyer, A solution for the distant starlight problem using Creation Time Coordinates.14
- P.W. Dennis, Consistent young earth relativistic cosmology.15
This fact is quite significant because, since 2001, I have largely supported the ideas that Lisle has presented. Others within the creationist community have not been so accepting of them or have not really understood them. Personally I now take the position that a biblical creationist model based on the ASC, or at least the concept of defining an initial creation scenario that involves the ASC, or a variant of it, such as suggested in the two above listed papers, is the best solution to the creationist starlight travel-time problem. In such a case, there is no light travel-time problem.
In explaining to lay Christian audiences I have found that the biggest stumbling block to them understanding the concepts behind such a simple solution is that they have already formed in their minds the notion that the speed of light is isotropic, as if this has been proven by experiment. Certainly this is true for those with some scientific knowledge. Thus, implicitly, they assume the Einstein Synchrony Convention (ESC) to be some sort of absolute universal rule, and that assumes isotropy for the speed of light. After that they cannot conceive of how light from the distant galaxies could reach Earth instantaneously.
Distant clocks are unsynchronised with Earth clocks. In the cosmogony Lisle considered the divine creation of all stars and galaxies is assumed simultaneous by convention. It is not (even in principle) empirically measureable. So you could even say that it is irrelevant. What is relevant to the ASC model is that the event of their creation was timestamped by when the light first arrived at the Earth. That was measureable. And that was true for all stars on Day 4.
Creation Time Coordinates
The abstract of the paper “A solution for the distant starlight problem using Creation Time Coordinates” by Tenev et al. states:14
We present a solution for the distant starlight problem that is consistent with Scripture, Special Relativity, and observations of a young cosmos that is based on a special divine choice of initial conditions and a new synchrony convention. The initial conditions constrain the spacetime coordinates of all stellar creation events (Genesis 1:17) to be just outside the past light cone of Earth’s Day Four but within the past light cone of Earth’s Day Five while also being causally independent from one another. The synchrony convention interprets God’s numbering of the creation days in Genesis 1 as prescribing a time coordinate for each location in the cosmos, a coordinate we call the Creation Time Coordinate (CTC) (emphasis added).
The main features are the special choice of initial conditions and a ‘new’ synchrony convention. I put the word ‘new’ in quotes because I don’t agree that it is actually a new convention.
In fact, the model they present is Lisle’s ASC model, only that they have explicitly (and correctly) defined their initial conditions. They make use of the standard relativistic light-cone (drawn under the assumption of the ESC with the speed of light as the isotropic two-way speed c). They show their coordinates (on standard axes labelled x and ct) with a hypersurface representing the Genesis 1 time coordinate (CTC) defining the Day 4 initial creation of the stars in the heavens. However if one were to extend the axes to the Hubble length (of order c/H0), their hypersurface would be shown to be asymptotically close to the past light cone surface for Day 4. Hence on such a diagram one would be hard pressed to see any substantive difference with that prescribed in Lisle’s ASC model.
Tenev et al. make the claim that their CTC’s are an improvement on Lisle’s model because they are defined as ontologically objective coordinates. However in my opinion they are identical with Lisle’s ASC coordinates when one considers the earth as the only point of reference. That is only Earth observers matter in the Genesis description. This point is conceded in the paper. They make the argument that their approach is superior. Lisle’s approach is observer dependent, whereas they invoke the singular independent Observer, the Creator Himself. Hence ontologically they define a singular special initial condition for the creation of the stars on Day 4.
In regards to Lisle’s ASC model, we can say that there were ‘observers’ on Earth, and only on Earth, on Day 4. These could have been, for example, crystals, or plants. Crystals respond to light of various wavelengths and so do plants. Hence when light from the stars initially arrived on Earth on Day 4, these observers define that initial condition. I would make the argument that this fact makes it objective, since this is the only frame of reference that biblically matters. I have always used this argument when presenting the ASC model. So in terms of ontology any real difference between Lisle’s and the CTC model is marginal at best.
Having said that, I applaud the clarity with which Tenev et al. define their model. In my view, it is a small refinement on the ASC model.
The authors do not seem to fully appreciate that no measurement can ever empirically determine their initial hypersurface. That is the hypersurface that defines the present moment called ‘now’ for any observer, which might have observed the creation of the celestial lights (Sun, moon and stars) on Day 4 of Creation Week, about 6 thousand years ago. This is stated explicitly by Dennis in his paper.15
Our solution to the light travel time problem will be based on presentism and the fact that GR specifically and the relativity principle in general prohibits any empirical method of determining a putative hypersurface in space-time that is the present. Thus, any spatial 3-surface that represents an actual ‘now’ (which must exist according to presentism, though in principle operationally undetectable) and explains the distant light arrival is acceptable (emphasis added).
Tenev et al.’s CTC coordinates define the ‘now’ for the creation of the stars on Day 4. But no method can empirically determine such a hypersurface. No experiment can be carried out—given unlimited resources and time—that could get a definite empirical result.
The problem is that the CTC’s assume unsynchronised clocks. The authors impose a sort of God-synchronised condition on them, but from an experimentalist point of view they are unsynchronised because without sending light signals between the putative clocks they are, by definition, unsynchronised. Any Earth observer cannot know the state of distant clocks without comparing them with his local clock. And such an experiment requires the assumption of a synchrony convention.
Thus the discussion in their section E is flawed, yet it does not undermine the paper except in any claim of empirically determining any hypersurface for an initial condition of creation of the stars. Any claim that that is possible ignores the circularity in the argument. This is the same issue with measuring the one-way speed of light. It is just not possible. Note Reichenbach’s statement above. For a detailed discussion on this matter refer Lisle’s rebuttal of a paper he reviewed claiming that the one-way speed of light can be measured and has physical meaning.16
All that to say that their CTC’s are no more physically realisable than any other coordinates. The authors’ comment that their CTC’s are as valid as standard co-moving coordinates used in big bang cosmology. In standard Friedmann-Lemaitre (FLRW) cosmology it is assumed that co-moving coordinates represent inertial clocks, freely falling with their sources. They are assumed to be in such a state, in an expanding universe, from which any past epoch of the universe is determined. CTC’s are also limited in the same way. As stated above such coordinates can only be assumed, not empirically determined. After all, any cosmology is always underdetermined.17
This may not be very satisfactory, but I believe the reality is what God’s Words say. However we can never devise an experiment that can uniquely distinguish a biblical model (cosmology and/or cosmogony) from all others and determine some objective reality for the cosmos, even though we know that all non-biblical models are spurious.
Reality of time
Dennis’s paper “Consistent Young Earth relativistic cosmology” argues for the same initial conditions as that in the ASC model. Dennis states in his abstract:
We present a young earth creationist (YEC) model of creation that is consistent with distant light from distant objects in the cosmos. We discuss the reality of time from theological/philosophical foundations. This results in the rejection of the idealist viewpoint of relativity and the recognition of the reality of the flow of time and the existence of a single cosmological ‘now’.15
Dennis discusses the philosophical issues of eternalism and presentism. On these the author
… concludes with the biblically uncontroversial view that time is real and that only the present ‘now’ is real. This view is termed ‘presentism’.15
And he writes
… that there is an actual real moment called ‘now,’ a present moment that continually passes. The past is forever gone, the future will be.15
Eternalism is the philosophical belief that time is an illusion. That is
… that past, present and future events are eternally existing in a universe in which time has been ‘spatialized.’ It is a universe in which there is no ‘now’ – no unique ‘present’. It is sometimes called a ‘block-house’ universe in which nothing really happens.15
Einstein was an advocate of eternalism.18 And Dennis quotes Einstein.
For us believing physicists, the distinction between past, present and future is only a stubbornly persistent illusion.19
The four-dimensional continuum is now no longer resolvable objectively into sections, which contain all simultaneous events; ‘now’ loses for the spatially extended world its objective meaning. It is because of this that space and time must be regarded as a four-dimensional continuum that is objectively unresolvable.20
Yet, as Dennis correctly points out, this does not mean that the present is not real, i.e. that such a concept does not exist in spacetime. What it means is that it cannot be operationally empirically determined.
In short, an unknown and operationally indeterminable ‘now’ does not imply the nonexistence of ‘now’ (emphasis in original).15
In philosophical terms the ASC defines a universal ‘now’ for all events regardless of their location in space. From Dennis’s perspective he would argue that this convention requires a presentist worldview. This is not necessarily the case. General Relativity does not require that one accept a particular philosophical worldview. The application of General Relativity may be valid regardless of which philosophy one may take; yet interpreting the meaning of that application may vary according to one’s philosophical position. Even the model presented by Dennis does not depend on a presentist philosophy.
I would think that eternalism is the philosophical view currently held by most practitioners of Einstein’s General Relativity theory, in which the universe is seen as a block-house four-dimensional construction, with the past, the present and the future all existing together. See Fig. 1. As such time does not exist; it is only an illusion. Instead it is ‘spatialised’ with the three usual space coordinates into a 4D metrical representation of spacetime. However, even eternalists have to deal with the passage of time. They might have more of a problem putting it into words, but mathematically it is well described by the choice of the spacetime metric.
One’s choice of philosophy regarding time, e.g. presentism or eternalism, does not necessarily determine one’s cosmology or cosmogony.21 Some insight can be gained from a discussion of the philosophy of time, but a particular choice is not essential. Besides there is no empirical way to distinguish between presentism and eternalism. They are philosophies and as such are only assumed.
I contend that what is essential is one’s choice of clock synchrony convention. That choice leads to how one interprets one’s cosmogony. Nevertheless there is no natural choice of a synchrony convention. You cannot say one is ‘correct’ and that all other conventions are ‘wrong’.
One cannot determine from nature whether the concept of a universal ‘now’ is real or imagined. One must look elsewhere, that is, to the Source of all knowledge. Dennis argues that
…, the strongest argument for the reality of time is from the presupposition of Christian theism.
From a theological perspective, the unreality of time is incompatible with biblical revelation. First, and most important, the reality of time is presented in the Bible in the opening verses of Genesis that describe the miraculous creation week and the occurrence of the first day.15
Time is real and the biblical account steps off the sequence very definitively in Genesis Chapter 1. Events are timestamped by when any Earth ‘observer’ sees them happen. Tenev et al. argue that it is the Creator who defines that sequence via special objective time coordinates, especially for Day 4, so that all stars are created so that their light arrives during Day 4.
An inhomogeneous cosmology
Dennis works from the basis that presentism is the correct philosophical view consistent with the Bible, though I would argue that his model does not depend upon it. He outlines how one might construct a cosmology, based on general inhomogeneous models. These considerations all point to a solution that is based on the recognition that Einstein’s Field Equations (EFE) depend upon the specification of an initial condition specified on a given initial spatial hypersurface. The general inhomogeneous solution shows that the time of the initial spatial hypersurface is arbitrary within the mathematical framework of General Relativity. This is a very important point to note: the initial spatial hypersurface is arbitrary within the mathematical framework of General Relativity. We are free to choose.
Dennis develops an inhomogeneous model based on a solution of EFE with a coordinate origin near Earth (i.e. spherical coordinates are used centred on the observer on Earth). The only real difference with his cosmology and that of standard big bang cosmology is the choice of the initial creation surface. He describes it as a
‘non-simultaneous’ Big Bang relative to the usual FLRW ‘cosmological time’ but viewed as simultaneous within the hyperbolic surface.15
Viewed as simultaneous within the hypersurface means that it is chosen that way by choice of the initial creation condition. Then if after the initial creation moment time advances (time being real) the asymptotically null spacelike surfaces maintain their hyperbolic property. This means that light travels uniformly from that moment and the surface expands by the distance ct in time t. Dennis states that,
However, there is nothing to preclude God from advancing the remote regions more rapidly thereby yielding a non-null hyper-surface. That concept is consistent with the biblical account. [His] Figure 9 illustrates this concept.15
This then leads to the notion of a difference in the speeds of the incoming and outgoing light rays. And by appropriate choice of a free parameter in his model the incoming light rays from distant stars can reach the earth instantaneously.
Thus by the end of his paper, Dennis gets to a similar beginning creation scenario as Tenev et al. See his Figure 9. This is a sketch of what he expects to develop with further research. Dennis describes a sequence of hypersurfaces indexed by cosmic time t, which records the days of creation from Day 1. Each hypersurface represents the universal ‘now’ for that day. Each hypersurface is spacelike, meaning events are not causally connected, and the light from all events on each day (creation of stars on Day 4) arrives at the earth for the first time during that day. This is the same result as in Tenev et al.’s and Lisle’s models.
A comparison of Tenev et al.’s Figure 1 and Dennis’s Figure 8 (see Fig. 2 here) showing their initial creation hypersurfaces represented on a light-cone indicates that there are strong similarities with certain features in
their models and Lisle’s. Both employ initial hyperbolic creation hypersurfaces. Both are centred on the earth. Both asymptotically approach the past light cone. In that limit they are the same as Lisle’s in this regard. Dennis starts with Day 1 creation, whereas Tenev et al. focus on the Day 4 creation of the stars. Nevertheless for Day 4 both would draw the same initial spacelike hypersurface for the creation of the heavenly host.
This is the first time where 3 different authors have arrived at similar biblical creation cosmological scenarios. Each involves the concept of the universal ‘now’ describing the whole universe at the same moment of time as recorded by local Earth clocks. Each involves special initial conditions for the creation of all stars in the universe so that their light arrives at the Earth for the first time on Day 4. The days of creation are 24-hour Earth days and the rest of the universe is as young as the earth except for 3 days.
In conclusion Dennis makes a key observation:
We conclude by briefly discussing possible objections of some of our key assumptions and showing that a relativist cannot consistently object to our assumptions based on the merely operationalist point of view that an absolute spacelike ‘now’ cannot be empirically determined.15
Since the concept of a universal ‘now’ representing a state of the universe at any moment in time cannot be rejected by any operational empirical consideration, we are free to choose. Based on the biblical account, where time advances, day after day, and events occur when they are observed, it would seem to be the most appropriate conclusion to state that a universal ‘now’ is the correct philosophical view to interpret the Bible, especially the Genesis creation narrative. We see the cosmos as it is now; we are not looking back into the past.
The past is gone forever. But just because we observe a ‘mature’ galaxy or star does not imply that it evolved from some simpler primordial form. The Genesis account does not indicate such a thing. What it does indicate is that all stars, and by extension galaxies, were created on Day 4. Thus they were created “mature.” None are more than 6 thousand years old. This can be understood from any one of these cosmologies discussed here (Lisle, Tenev et al. and Dennis). There is no light travel time from distant stars and so we observe the ‘present’ state of the universe at the moment we see it.
The language of the Bible is not that of the Einstein Synchrony Convention. That would mean, when viewing the cosmos, we are looking back into the past. But the language used employs the Anisotropic Synchrony Convention. That means we are looking at the present state of the galaxies in the cosmos.
Plain language bullet point summary
- The critical issue in all this is not which philosophy of time we accept (though that might influence our choices) but which is the clock synchrony convention used in the biblical narrative in Genesis.
- Historically most people held to the idea that what we observe in the universe (including all stars and galaxies) is the present state of the universe. When we look at galaxies we are not looking into the past. We see them in their present state. This is what we call a universal ‘now’. (Universal means it includes the whole universe.) It implies that the light travel-time from the distant stars is instantaneous. This is consistent with Lisle’s Anisotropic Synchrony Convention (ASC).
- In the past 200 years this viewpoint started to change; firstly among the scientific community and then the educated public. By the time the speed of light was measured and Einstein introduced his Relativity theory, the universal ‘now’ was rejected. Einstein assumed a particular clock synchrony convention (ESC) which held that the speed of light was the same in all directions.
- The most popular philosophical viewpoint now holds that when we look at galaxies we are looking into the past. But the universe does not tell us which philosophical viewpoint is the correct one. It is also important to realise that whatever view one takes it is only an assumption.
- Before the last few hundred years and Einstein there was no biblical creationist starlight travel-time problem. In the 1600’s Sir Isaac Newton considered that the speed of light and gravity were instantaneous, i.e. that there was no delay between the source and the observer. Scientists believed in the universal ‘now’.
- Only after the 17th century, when the speed of light was measured and Einstein’s Special Relativity was promoted, was the universal ‘now’ replaced under a new philosophical assumption. This involved Einstein’s choice of clock synchrony convention.
- Einstein’s assumption created the starlight travel-time problem in a large universe for biblical creationists.
- By rejecting the ESC for interpreting the biblical text, and by assuming the ASC is what the Author used, we can easily explain starlight travel time. There is no problem because we are seeing the present state, not the past state, of all the universe.
- Above I presented the uniquely convergent outcomes of three separate creationist cosmologies. They are not the same but essentially arrive at the same conclusion. This fact then argues for the universal ‘now’ as a simple approach in explaining that there is no light travel-time problem.
- No laws of physics are changed by assuming the ASC is the convention of the Bible. All laws of nature remain the same. There is no denial of modern physics, including relativity theory. In fact, this is all in keeping with modern physics.
- Different philosophical viewpoints in how we look at the universe have been discussed and debate on them continues. But the real question here is: What is the viewpoint that the Author of the Bible took in the written text?
- The plain language of the Bible argues that not only is the earth young (i.e. six thousand years old) but the same can be said of the whole universe also.
- On Day 4 about six thousand years ago, God created the whole universe, meaning all the stars and galaxies. He did it in such a way that the light from them all arrived at the earth on that Day 4. So what we see today in the universe is not millions or billions of years old but only about six thousand years old.
I would like to thank Alex Williams and an anonymous reviewer for some valuable insights and suggestions.
- Newton, R., Distant starlight and Genesis: conventions of time measurement, Journal of Creation 15(1):80–85, 2001.
- Simultaneous by convention but not by any empirical method of measurement. It is assumed to be the case, or even defined that way.
- Timestamped means the moment of the event is clocked or recorded by a clock. In the case of the ASC (a convention) all events occur when the light of the event is first seen. This is the normal everyday experience. When we see something happen we say it happened the moment we saw it.
- Lisle, J.P., Anisotropic Synchrony Convention—A Solution to the Distant Starlight Problem, Answers Research Journal 3:191–207, 2010.
- Hartnett, J.G., The Anisotropic Synchrony Convention model as a solution to the creationist starlight-travel-time problem, Journal of Creation 25(3):56-62, 2011.
- Only the two-way speed of light is measureable but that does not mean that one cannot choose the one-way speed as a consequence of one’s choice of a clock synchrony convention. See the following endnote 7.
- Thus in any measurement of the speed of light, where a single clock is used and the beam is reflected from a mirror, the average speed for the round trip—out to the mirror and back to the source—is the measured speed c. This is called the two-way speed of light or the isotropic speed of light. If the incoming one-way speed of light is infinite then the outgoing speed must be ½c so that the average speed is c for any two-way measurement. The one-way speed cannot be measured.
- See secular discussion in Wikipedia: One-way speed of light, en.wikipedia.org/wiki/One-way_speed_of_light, accessed 24/9/2018.
- Lisle, J.P., The Physics of Einstein, Biblical Science Institute, subsection “The Epsilon Equations” pp. 221–231, 2018.
- Usually the choice of coordinate system is dictated by which is the most convenient to understand the physics. For the same reason a timing convention is chosen that best simplifies the equations describing the physics. Most physics in the text books is written in terms of the assumption that the speed of light is isotropic and observer independent (inertial reference frame). This is the Einstein Synchrony Convention or ESC.
- Maxwell’s equations contain the propagation constant (usually represented by the parameter c) for electromagnetic radiation. Later this was identified as the speed of light. However Maxwell’s equations are derived in a closed system, where the speed of propagation is isotropic. Hence one would not expect c to represent anything but the two-way speed of light.
- Lisle, J.P., The Physics of Einstein, Biblical Science Institute, pp. 240, 256, 2018.
- Excerpted from Lisle quoted in Hartnett, J.G., Update on the ASC model and the one-way speed of light, biblescienceforum.com/2018/09/16/update-on-the-asc-model-and-the-one-way-speed-of-light/
- Tenev, T.G., J. Baumgardner, and M.F. Horstemeyer. A solution for the distant starlight problem using creation time coordinates. In Proceedings of the Eighth International Conference on Creationism, ed. J.H. Whitmore, pp. 82–94. Pittsburgh, Pennsylvania: Creation Science Fellowship, 2018.
- Dennis, P.W. Consistent young earth relativistic cosmology. In Proceedings of the Eighth International Conference on Creationism, ed. J.H. Whitmore, pp. 14–35. Pittsburgh, Pennsylvania: Creation Science Fellowship, 2018.
- Hartnett, J.G., Update on the ASC model and the one-way speed of light, biblescienceforum.com/2018/09/16/update-on-the-asc-model-and-the-one-way-speed-of-light/.
- Hartnett, J.G., Cosmology’s fatal weakness—underdetermination, Journal of Creation 32(2):15–17, 2018.
- Eternalism is a philosophical approach to the ontological nature of time, which takes the view that all existence in time is equally real, as opposed to presentism. For a brief discussion see reviewonphilosophy.wordpress.com/2011/12/12/eternalism-vs-presentism/.
- Calaprice, A., ed.,The Expanded Quotable Einstein, Princeton: Princeton University Press, p.75, 2000.
- Einstein, A., Ideas and Opinions [Modern Library edition]. New York: Random House, p. 411, 1994.
- As stated, most modern relativists would accept the eternalist philosophy, along with Einstein, where time is viewed as an illusion. But atheist physicist and cosmologist Lee Smolin believes that time is real and that the laws of physics do change. He and his co-author Unger suggest that the laws of physics evolve and hence for that to occur time must be real. See Hartnett, J.G., The universe and the reality of its creator, Journal of Creation 30(2):24–25, 2016.
- UPDATE ON THE ASC MODEL AND THE ONE-WAY SPEED OF LIGHT
- QUESTIONS ON THE ASC MODEL
- A STUDENT’S UNDERSTANDING OF THE ASC MODEL
- JASON LISLE DEFENDS HIS ASC MODEL
- THE ANISOTROPIC SYNCHRONY CONVENTION MODEL AS A SOLUTION TO THE CREATIONIST STARLIGHT-TRAVEL-TIME PROBLEM — PART I
- THE ANISOTROPIC SYNCHRONY CONVENTION MODEL AS A SOLUTION TO THE CREATIONIST STARLIGHT-TRAVEL-TIME PROBLEM — PART II
- A QUESTION ON THE ANISOTROPIC SYNCHRONY CONVENTION