Finite Resolution

From the ground to the actuality we inhabit

The account follows Chapter 10, “Reality as Finite Resolution.” ^[1]

We can now ask what the earlier arguments let us say about the reality we inhabit. Absolute nothingness cannot supply a state or source. A formal infinity doesn’t become a completed physical history merely because we can describe it, and causal continuity doesn’t require a regress-object to produce the present. Under the finite-present account developed in Chapters 6 and 8, temporal order remains real without becoming a container holding every moment. A first state, wherever a physical model places it, already needs the actuality and causal capacities it is supposed to explain.

Those conclusions leave us with more than exclusions. They direct attention toward what actually obtains and the relations through which it can continue. I want to make that positive account clear enough that you can recognize both the world around you and your own participation in it.

I mean that as a claim about actuality under the connected premises we’ve developed, including PPD’s finite-present commitment. The formal Finite Present Completeness theorem in Appendix A states those premises explicitly. We still need to understand how a complete state can change, how an identity can survive that change, and why a real difference has consequences. Those questions lead into RSI’s proposed physical account and into what persistence means for a mind, a person, or a claim about God. They also bear on what you’re doing when you remember, learn, and act.

The positive picture after the alternatives fall

Chapter 10, §10.1. ^[1]

You can approach reality by attending first to the things that endure or to the changes they undergo. In the first picture, identity is primary and change happens to substances that already exist. In the second, process is primary and stable identities appear as temporary organizations within the flow. Either emphasis becomes incomplete when it loses what the other was trying to explain.

Both pictures preserve something real. A person, star, molecule, institution, and storm can possess an identifiable organization. They are not interchangeable with every other configuration. At the same time, none of them is a frozen lump detached from causal history. Each exists through relations, inherited structure, active constraints, and the capacity to affect what follows.

The tension between substance and process reaches back through the earliest arguments about persistence and change. I’m asking what kind of actuality can support both. It must be definite enough for one identity to differ from another while carrying the relations through which either can change.

These thinkers disagree about what ultimately exists and how change is possible. Their disagreements help identify the questions a positive account must answer. It must explain how identity and change can both be real, what makes a state definite, and what connects one state to another beyond our decision to place them in a sequence. Those are the burdens I bring to the idea of a finite resolved state.

A finite resolved state is the complete actuality that obtains, including every presently real identity, relation, constraint, gradient, record, and active condition. If you imagine an inert frame cut out of a movie, you’ve already omitted much of what a complete state must contain. Completeness includes the differences and relations through which consequences occur. Explaining their efficacy remains a further task, but the source account must contain whatever actually participates in it.

The comparison below keeps the useful contribution of each inherited picture while showing how finite resolution interprets it.

When I speak of resolution, I’m naming the relation between an actuality and what follows from its structure. I haven’t introduced another substance to do the work. An adequate account still has to explain which relations maintain a state and which make a different successor possible.

Finite does not mean small

Chapter 10, §10.2. ^[1]

The word finite can make reality sound small, especially beside an allegedly infinite whole. But finitude doesn’t give us a measured size, and it doesn’t mean simplicity. I’m retaining the finite-present premise of PPD, recorded as $P_0$ in the formal arguments. It says that each actuality has finitely instantiated content rather than a completed infinity of independent realized degrees of freedom. That is stronger than saying that a state is determinate. Distinguishability by itself doesn’t prove finitude.

The finite-interface premise $F_0$ supplies the related discipline for knowledge and physical description. An operative representation must be realized through an actual interface, with enough distinction for one relation, identity, or outcome to differ from another. The Finite Present Completeness theorem uses those premises together. I’m carrying their account forward, rather than trying to derive it again from the ordinary meaning of a single word.

A galaxy is finite without being simple. A brain is finite without being simple. A language is finite in every actual use even though further sentences can be formed. A civilization is finite while containing more relations than any one person can represent. A present physical world can be complete as actuality while remaining far beyond the measurement capacity of every observer inside it.

The following distinctions help us ask exactly what a claim of finitude is supposed to establish.

The phrase all actual reality is exhaustive in membership. It says that nothing real is excluded from total reality. It does not by itself tell us whether a particular spatial model is closed, open, compact, or unbounded. Spatial topology is a physical question. Existential completeness is a logical question.

We need to keep that distinction when we make a positive claim, just as we did when examining the infinity argument. A representation can remain open to further extension while the actuality it represents is complete. Another measurement may become possible, another relation may be discovered, or another state may follow. Those possibilities don’t turn the current state into an unfinished half-state. Conversely, a model that posits an actually infinite physical inventory makes a stronger claim than an extendable representation. It has to address the finite-present premise directly.

Within the finite account, an identity is realized through definite distinctions. What participates in it differs from what doesn’t, and the relations maintaining it differ from those that would transform it. Its organization also gives it an interface through which it meets its context. These distinctions explain what it takes to identify a particular whole. They don’t replace the additional premise that its actual instantiation is finite.

A completely distinctionless totality could not contain this star rather than that star, this memory rather than another memory, or this consequence rather than another consequence. Determination is not a flaw imposed on reality. It is what allows reality to contain anything definite at all.

The finite-closure work develops this order of explanation within a declared one-anchor, one-orbit testbed. The model’s gates select admitted recurring loops, each of which is finite. The selected carrier supplies a native readout before the smooth comparison is constructed, and the model describes an approach toward a continuum ceiling. This is a result within the testbed, with its own physical interpretation to test. It illustrates why RSI begins by declaring and evaluating a carrier before treating its idealized readout as an explanation. ^[9][10]

Complete does not mean terminal

Chapter 10, §10.3. ^[1]

A present state is complete when it contains whatever actually obtains in that actuality. Calling it terminal adds the claim that no successor can follow. You can understand the first without accepting the second, because an account of what obtains now needn’t include later states as already actual parts.

A sentence can be complete while the book continues. A heartbeat can complete one contraction while the organism remains alive. A scientific measurement can be complete as one result while creating the conditions for another experiment. A person can be completely real now without containing an already actual version of every later state of their life.

The phrase final present state is meant in this first sense. Final means resolved as the actuality that obtains, not last in the history of reality.

An objection to the present-centered account says that reality must be incomplete if something that will later be real is missing now. The objection counts the future state as a part that the present ought already to contain. Under PPD, that is precisely the disputed step. A possible or determined successor needn’t be a missing present object. Chapter 8 distinguished the reality of temporal relations from a co-actual archive under that same present-only premise.

The present is complete with respect to what actually obtains. Its consequences can still become actual through succession. Calling those consequences determined doesn’t place them beside their source as already existing states.

Likewise, a prior state does not remain a missing piece of the present merely because it once obtained. Its causally effective contributions survive through transformed inheritance. The original state need not remain co-actual for the present to be the complete result of what it became.

The two relations below express why a complete present need neither contain all of history nor end it.

$$\text{complete actuality} \neq \text{completed history},$$

$$\text{resolved present} \neq \text{terminal reality}.$$

This is the point where the words complete, final, and closed stop implying stasis. A complete present can still contain active gradients, unfinished interactions, unstable relations, biological regulation, deliberation, and every other condition from which change follows.

Resolved does not mean frozen

Chapter 10, §10.4. ^[1]

When I call a state resolved, I mean that it is definite as the actuality that obtains. You don’t have to imagine every component becoming motionless in order to understand that definiteness.

A storm is a resolved storm while air and water move. A living body is a resolved organism while exchanging matter and energy, repairing damage, remembering, and acting. A star can be a stable identity while sustaining dynamic balance among competing physical processes. An orbit can be a persistent relation without either participant becoming static.

The mistake comes from imagining a state as a photograph that contains positions but not rates, directions, gradients, tensions, constraints, or active relations.

A complete physical state includes whatever is physically relevant to what happens next.

The local successor relation expresses how the actual source and its constraint structure bear on what follows.

$$\mathcal{P}' = \mathcal{R}\!\left(\mathcal{P}\mid\Gamma\right).$$

Here $\mathcal{P}$ denotes the complete source actuality, while $\Gamma$ identifies the presently real relations and conditions through which continuation is resolved. Writing them separately helps us distinguish their explanatory roles. It doesn’t move the constraints outside reality. The operator $\mathcal{R}$ names the lawful source-to-successor relation. A physical theory still owes an account of that relation, rather than a symbol that appears to push reality through a separate time substance.

We also need to distinguish an unchanged complete state from an identity maintained through changing states. If the full state is exactly the same under the specified rule, the relation is a fixed point.

$$\mathcal{R}(\mathcal{P}\mid\Gamma)=\mathcal{P}$$

A different complete successor is expressed by the second relation.

$$\mathcal{R}(\mathcal{P}\mid\Gamma)\neq\mathcal{P}$$

The second relation can hold while a particular system retains its identity. A storm’s changing air and water needn’t produce a different storm, and a body’s internal turnover needn’t produce a different organism. We judge that persistence through a continuity criterion appropriate to the system. The identity theorem in Appendix A makes that criterion explicit. Exact equality of complete states and continuity of one identity therefore answer different questions. If we compare only a selected description, its remaining unchanged doesn’t establish equality of the complete states either.

This is also why RSI separates existence now from change next. Its existence gate asks whether a declared configuration is admitted. Its change gate asks whether the admitted configuration remains within its stability band or must reconfigure. Those gates apply to the declared configuration and identity boundary. A stability verdict at that level doesn’t assert that every underlying physical variable is unchanged. ^[11]

Chapter 13 and the formal appendix develop the equations and their roles. What matters here is why being and becoming can belong to the same account. A source must be definite as an actuality for its differences to have determinate consequences. That explanatory requirement doesn’t say that the source must first spend an interval frozen before change is allowed to begin.

Why the present is enough

Chapter 10, §10.5. ^[1]

A complete present doesn’t give you a complete account of it. Ontic completeness concerns what actually obtains, including whatever causally participates. Epistemic completeness would concern whether an observer had correctly measured and represented all of it. The actuality can include conditions that your account misses, and a fact doesn’t wait for you to discover it before becoming real.

The meaning of total actuality requires the first kind of completeness. It gives a finite observer no corresponding guarantee of complete knowledge. You can understand a declared system well enough to explain or predict a particular outcome while still lacking an exhaustive account of the world containing it. Keeping those scales distinct lets us value knowledge without treating a successful model as an inventory of everything real.

A scientific model can omit a variable that matters. An observer can misunderstand a relation. An instrument can fail to resolve a relevant scale. Within the present-state account, those epistemic limits indicate something missing or mistaken in the description. A cause outside a local model’s declared boundary can still belong to the complete actuality. We may need to enlarge the model or revise its couplings, rather than imagine a source outside everything that obtains.

The same distinction helps us understand how the present carries history through transformed inheritance. A past event can be causally significant through what it became without remaining beside the present as an additional occurrence.

Your body carries transformed consequences of meals without preserving each meal intact. A scar can remain after an injury and a memory can represent an event without either being the original occurrence. A fossil bears traces of an organism, just as a river channel bears the effects of prior flows. A galaxy’s present structure can also reflect earlier interactions without containing them as separately occurring events. In each case, the history matters through its consequences in the current configuration. That doesn’t guarantee that every earlier detail remains recoverable.

A complete present therefore does not need a perfect internal copy of the past. It needs the causal structure from which the successor is resolved.

The future needn’t exist already either. The present contains the active resources and energy differences, physical and logical constraints, identities and interfaces, stored records and learned structure, agents, instruments, institutions, and every other currently real condition that can affect what follows. When a transition occurs, its real source conditions belong to that actuality. This removes the need for an outside archive to supply them. It doesn’t yet derive the transition rule or prove that every possible complete state must change. That is the Dynamic Ground burden we’ll return to at the end of this discussion.

Continuance without totalization

Chapter 10, §10.6. ^[1]

Continuance names the finite transition from one complete actuality to another without turning all of history into one completed object.

The local relation keeps our attention on an actual source and its successor.

$$\mathcal{P}\longrightarrow\mathcal{P}'.$$

A later observer can reconstruct several states and label their order in a longer representation.

$$\mathcal{P}_{a}\longrightarrow\mathcal{P}_{b}\longrightarrow\mathcal{P}_{c}.$$

The labels organize the representation. They do not imply that a complete global set containing every past and future state exists as one physical thing.

Each actual transition has a finite source and a finite successor, and each successor becomes the new complete actuality. Continuance therefore requires neither a metaphysical counter totaling every state that has ever occurred nor a completed line that reality must traverse. It does not require a terminal state to exist in advance, and it does not ask a first state to create relation and causal capacity merely by being first.

The phrase originless finite continuance brings those commitments together. Originlessness excludes a null boundary at which nonbeing became being. Finitude retains the bounded instantiation asserted by the finite-present premise. Continuance names the local resolution through which another actuality can obtain. As the account of originless finite continuance explains, the conditional result doesn’t settle every question about chronological order or cosmic age, and it doesn’t turn history into an infinitely old completed object.

The current EL and PPD sources already frame history as present causal inheritance and the future as constrained continuation rather than as co-actual storage. ^[16][17]

Each finite actuality can give rise to another without requiring the whole of history to exist as one completed object. The first expression states the local relation.

$$\boxed{\text{finite actuality}\longrightarrow\text{finite actuality}}$$

The second names the extra object that the local relation doesn’t require.

$$\boxed{\text{completed history-object}}.$$

We can therefore investigate continuation through the structures that actually participate in each transition, without asking a completed whole of history to produce its own members.

How finite identities form

Chapter 10, §10.7. ^[1]

The account also lets us ask how finite identities form within the total present. Listing nearby components can describe a pile, but it doesn’t yet explain what makes them a system. For that, we need the relations through which participants maintain one distinguishable whole. A real pile may itself possess an organization worth studying. The point is that proximity and an inventory alone don’t establish the identity or the level at which it persists.

The following expression records the components, relations, and boundary needed to describe that organization. It is a schematic account of their roles, rather than a physical equation for assembly.

$$\{p_1,p_2,\ldots,p_n\}+\mathcal{R}_{\mathrm{int}}+\mathcal{B}\longrightarrow\mathcal{I},$$

where $p_i$ are participating components or degrees of freedom, $\mathcal{R}_{\mathrm{int}}$ is the organization of relations among them, $\mathcal{B}$ is the functional boundary or interface distinguishing the identity from its context, and $\mathcal{I}$ is the resulting finite identity.

A boundary needn’t be a hard shell. A cell has a membrane through which regulated exchange takes place, while an organism’s continuing identity involves bodily organization, metabolism, sensation, memory, and environmental coupling. A storm maintains a pattern within the larger atmosphere even as material crosses the region we identify with it. In each case, the boundary must help describe the real organization and exchanges involved.

A social institution makes the need for context especially clear. Its rules, records, roles, membership, and continuing practices help determine what counts as the institution and whether it persists. For an AI system, we have to examine implemented architecture, active state, memory, interfaces, computational resources, and the conditions under which its process continues as the same system. Possessing a collection of files doesn’t by itself answer that question. An astronomical system calls for a different account of the gravitational, dynamical, radiative, and environmental relations through which its identity is maintained.

The mechanisms differ, and so do the criteria appropriate to their identities. Drawing a boundary doesn’t manufacture the organization it describes. It states what we’re counting and which real relations would justify counting those participants together. That declaration remains revisable when the evidence shows that we’ve included too much or left something out.

The participating pieces remain real when a whole forms. The higher-order identity is the physically instantiated organization they realize together, with consequences that their isolated inventory would leave unexplained. Recognizing that organization doesn’t require adding a separate ghost substance.

Assembly therefore needn’t push reality toward one homogeneous final lump. When atoms form a molecule, some lower-level freedoms are constrained while a new molecular identity becomes available for further relations. Cells can participate in a regulatory whole whose sensing, action, memory, and reproduction depend on their organization together. The claim concerns those capacities at the organism’s level, without denying that individual cells have capacities of their own.

When people form a society, individual action is constrained in some directions while language, institutions, infrastructures, and collective capacities emerge. Those new capacities depend on how people are organized and how participation is maintained. Across these different cases, finite closure gives the resulting identity a way to act and be affected as one participant in further reality.

Closure, interface, and reconfiguration

Chapter 10, §10.8. ^[1]

Every finite identity has a distinction between its maintained organization and the context in which it participates. Its interface tells us where further relations can support that organization, leave it approximately unchanged, transform it, or combine it with another system. Under other conditions, those relations can drive it beyond what previously made it one thing. Declaring an interface identifies where coupling would matter. It doesn’t by itself prove that every possible boundary must carry an active transfer.

The term closure turnover gathers these possibilities into a general sequence. It includes maintenance and persistence as well as the loss or formation of an identity.

$$\begin{aligned} \text{formation}&\longrightarrow\text{maintenance}\longrightarrow\text{interface relation}\\ &\longrightarrow\text{persistence or reconfiguration}\longrightarrow\text{successor closure}. \end{aligned}$$

A finite whole persists while its organization continues to satisfy the relevant continuity criterion under the actual conditions placed on it. When that criterion fails, the identity de-resolves. The prior whole no longer exists as that organization, even though a successor actuality still obtains. Chapter 5 excluded absolute nonbeing as a destination, so the loss of one identity doesn’t mean its components, energy, records, or consequences have moved into a null sink.

The successor need not be smaller. A structure may fragment, merge into a larger whole, change phase, redistribute energy or information, or lose one identity while helping form another at the same or a different scale.

The general claim doesn’t require everything to follow one cosmic cycle of growth and decay. Finite identity is maintained organization. Changes can occur within it while its continuity criterion remains satisfied, and changes that breach that criterion bring the identity to an end.

Three kinds of closure help us distinguish identity loss from failures of accounting and from a claim about reality as a whole.

The final row explains why there can’t be a second existential ledger outside total reality. A source contributing real energy or causation belongs to reality by virtue of that contribution. A destination able to receive anything is likewise real. Calling either external to a particular system can be useful, but calling it external to all reality changes the meaning of the total we’ve declared.

We can define circuits, chambers, organisms, and other subsystems as open or closed relative to their boundaries. Their exchanges still occur within the total actuality. The following inclusion rule expresses that distinction without supplying a particular quantitative conservation law.

$$X\text{ is real and causally effective}\quad\Longrightarrow\quad X\in\mathcal{R}_{\mathrm{total}}.$$

Chapter 12 examines the physics of conservation and the accounting each model owes. An apparent imbalance can reveal an omitted source, sink, reservoir, or boundary transfer. It can also show that the model or its accounting assumptions need revision. Existential inclusion doesn’t certify a chosen ledger equation. It requires an explanation to account for real sources and recipients within reality, while the Nothingness Closure excludes absolute nonbeing from performing either role.

The ground and the state are not the same

Chapter 10, §10.9. ^[1]

You might now wonder whether Existential Ground is simply another name for the current physical state. The distinction matters because one particular configuration can change without changing what any configuration must satisfy in order to obtain. The table separates the ground, the state, the transition, and our representation of them.

A state can change while the ground remains the condition within which any such state obtains. There isn’t another state waiting underneath it. Nor have we assigned the ground a hidden temperature, location, mass, clock reading, or personal viewpoint. A physical or theological account proposing those predicates must explain their role and support them.

I use the grounding account to explain the requirements a positive theory inherits, rather than stop at the phrase brute fact. Total reality can’t borrow its actuality from another real domain beyond itself, because that domain would belong to the total. The preceding arguments examine the alternatives under their stated premises and identify the structural constraints carried into a physical account. Explaining how those constraints are realized remains the work of the proposed implementation.

RSI proposes one such physical implementation. It asks how a present configuration is admitted, how a positive energy ledger is declared, how geometry belongs to the carrier, how stability is distinguished from forced reconfiguration, and how observables emerge as readouts. ^[11] The distinction from Chapter 2 remains important here. If an RSI equation fails empirically, that equation must be repaired or rejected. An equation’s failure doesn’t by itself restore absolute nothingness as a state, establish a completed physical infinity, turn regress into ground, or make temporal firstness self-explanatory. Those conclusions have their own premises. If evidence also challenges a shared premise, that challenge must be followed back into every argument that depends on it.

Existential Ground constrains what a coherent physical implementation can be. It does not guarantee that every proposed implementation is correct.

The point where ontology becomes dynamics

Chapter 10, §10.10. ^[1]

The positive ontology is now clear enough to expose the next unanswered question. A finite present can be complete without being terminal, a resolved identity can remain dynamic, and the present can carry transformed history without storing the past. Finite components can form higher-order identities, while every finite closure creates an interface through which further relations become possible. A local identity can persist or de-resolve without total reality becoming nothing.

We can now ask why the determinate differences inside actuality have consequences at all. Answering that causes produce effects leaves the explanatory work inside the word cause. I want to know what makes the source consequential and what constrains its successor.

The following sequence identifies the candidate relation we need to investigate.

$$\text{difference}\longrightarrow\text{relation}\longrightarrow\text{constraint}\longrightarrow\text{closure or reconfiguration}.$$

Finite identity gives us distinctions and a boundary through which coupling can be described. Where relations are active, they can provide support, mismatch, transfer, and change. But naming that sequence doesn’t yet show why the coupling is active or derive the law through which a difference produces its particular consequence.

The synthesis below carries the positive account forward together with that remaining question. Its conclusions retain the finite-present and interface premises, and the identity claims retain their declared continuity criteria.

We have a way to understand completeness without demanding a finished history, and persistence without demanding an unchanging object. You can be wholly real while learning, remembering, and becoming different. The question now is how that change occurs through the structure of actuality. I want to follow it into the conditions that make a difference matter.

The conditions carried into the formal account

The finite-present account has a definite commitment: actuality is complete and finitely instantiated, not a completed history containing its own past and future. Its support is a connected set of arguments with distinguishable premises. The occurrence anchor is not being asked to prove the whole architecture by itself. ^[2][3]

F₀: finite interface and frame closure

An operative epistemic act is actually realized through an interface. A representation cannot function in an argument while remaining outside every possible frame. That does not deny external reality or objective truth, and it does not by itself prove that all actuality is finite.

P₀: the persistent-present account

The finite-present and single-successor architecture retains PPD’s stated conditions. Finite content is stronger than merely naming a determinate state. The full-law, source-sufficiency, causal-closure, and actual-continuation conditions govern the deterministic part. Their complete treatment remains in Persistent Present Determinism.

Occurrence and the preceding closures

ERP secures the occurrence floor. The Nothingness, Infinity, Regress and First-State, and Temporal arguments remove their specified alternatives. Originless Finite Continuance brings their consequences into local continuation. Each result keeps its own premises.

Actual source completeness and a declared closure interface

Whatever actually participates in a transition must belong to its source account or a declared coupling across the local system boundary. The declaration is answerable to the real organization. It does not create that organization or excuse leaving relevant exchanges uncounted.

A declared identity-continuity criterion

A criterion identifies what must persist for the particular system to count as the same participant. It is not exact equality of every constituent or a guarantee of first-person survival. The personal-continuity proposition below states the additional burden explicitly.

The finite-closure example remains a scoped model where invoked. It does not select one universal lattice or settle every physical implementation. No new physical equation is established merely by calling a state resolved.

Formal argument: Finite Resolution Synthesis

These definitions, results, and proofs retain their Appendix A source numbers. The state’s completeness, a local identity’s persistence, physical accounting, and personal continuation are not interchangeable conclusions. The full scope note follows the suite. ^[2]

Questions about finite resolution

Sources and further reading

The explanation retains Chapter 10’s source order and its historical distinctions. EL, FMFG, and EG supply the philosophical arguments and their different conditions. RSI and the finite-closure and cartographic models enter where the source uses them as physical proposals or scoped demonstrations. Their citation is not independent certification of their physical conclusions. The separate source locations make it possible to examine the premises each application actually inherits.

1. Matthew Tripp Zejda, Existential Ground. Chapter 10, “Reality as Finite Resolution,” pp.155–173, including its four comparison tables and Figures 10.1–10.2. The historical discussions and their cited works are retained below. Chapter 10 contents entry; book and reading access.
2. Existential Ground, Appendix A. §A.9.1, “Finite Resolution Synthesis,” Definitions A.47, A.49, A.51; Theorems A.48, A.52; Propositions A.50, A.53; all four proofs and the full scope note, pp.426–428. Imported premise families: §A.3. Appendix A contents entry.
3. Matthew Tripp Zejda, Existential Logicism: A Logic-Based Engine for Navigating Reality. Chapter 5 and Formal Argument 5.12. Definition 5.5 and the finite-present premise distinguish finite realized specification from mere reference. The completeness remark, contrastive-source-sufficiency passage, and continuing-domain conditions distinguish a complete source from a proved deterministic law. PPD and its formal argument; finite actuality and the finite-present definition; Engine and reading access.
4. Existential Ground, Chapters 11–15. The further dynamic, energy, physical-implementation, pattern-identity, and God/totality developments remain separate arguments. Chapter 14 supplies the developed distinction among identity, memory, experience, copying, and first-person continuity; Chapter 15 and Finite Mind, Finite God retain the further conditions for personhood and claims of ultimacy. Chapter 11 contents entry; Chapter 14 contents entry; FMFG.
5. Heraclitus. 1987. Heraclitus: fragments: A text and translation with a commentary. Edited by T. M. Robinson. Translated by T. M. Robinson. University of Toronto Press. Toronto.
6. Leucippus; Democritus. 1999. The atomists: Leucippus and democritus: Fragments: A text and translation with a commentary. Edited by C. C. W. Taylor. Translated by C. C. W. Taylor. University of Toronto Press. Toronto. DOI record. Phoenix Supplementary Volume 36.
7. Aristotle. 1999. Physics. Translated by Robin Waterfield. Oxford University Press. Oxford.
8. Gottfried Wilhelm Leibniz. 1989. Philosophical essays. Edited by Roger Ariew; Daniel Garber. Translated by Roger Ariew; Daniel Garber. Hackett Publishing Company. Indianapolis. Includes “Principles of Nature and Grace, Based on Reason” (1714), pp. 206–213, and the “Monadology” (1714), pp. 213–225.
9. Matthew Tripp Zejda. 2026. The finite closure band theorem and the continuum pi ceiling. Unpublished theorem manuscript; included in the finite-closure treatment of the Resolution State Interface.
10. Matthew Tripp Zejda. 2026. Closure cartography and the annular branch: A unified-terrain replacement candidate for dark matter support in disk galaxies that can potentially survive the bullet cluster. Zenodo. DOI record. Version 3.
11. Matthew Tripp Zejda. 2026. Resolution state interface (RSI): Introduction to universal relativity by matthew tripp zejda. Zenodo. DOI record. Version 5.
12. Alfred North Whitehead. 1978. Process and reality: An essay in cosmology. Edited by David Ray Griffin; Donald W. Sherburne. Free Press. New York. Originally published 1929.
13. Martin Gardner. 1970. Mathematical games: The fantastic combinations of john conway’s new solitaire game “life”. Scientific American. 223. 4. 120-123. DOI record.
14. Konrad Zuse. 1969. Rechnender raum. Friedrich Vieweg & Sohn. Braunschweig. DOI record. English translation published as <i>Calculating Space</i>, MIT Technical Translation AZT-70-164-GEMIT, 1970.
15. Edward Fredkin. 1990. Digital mechanics: An informational process based on reversible universal cellular automata. Physica D: Nonlinear Phenomena. 45. 1–3. 254-270. DOI record.
16. Matthew Tripp Zejda. 2025. Existential logicism: A logic-based engine for navigating reality. Existential Logicism website. Source record. PDF manuscript.
17. Matthew Tripp Zejda. 2025. Persistent present determinism (PPD). Source record.