Appendix C. Vulnerability Assessment
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The three principal vulnerabilities of CTGP concern foliation dependence, underdetermination with
respect to eternalism, and the use of a preferred cosmological frame. The responses to each are
developed in the main text (§§6.10, 11.4, 12, 9.3.1); this appendix records the residual assessment.
After these responses, the residual severity of each vulnerability is as follows. The foliation
criticism is answered: the present is geometrically unique wherever cosmological time is regular,
aligned with matter in cosmology, and globally defined through structure formation; the open cases
are past-eternal, cyclic, and emergent cosmologies and non-uniform bounces, with single uniform
bounces covered by §6.10.1. The underdetermination criticism is correct and is accepted in its
precise form: the ontology is observationally equivalent to eternalism for fixed physics, and its
empirical exposure is structural rather than observational (§12). The preferred-frame criticism is
answered in its usual form, since cosmology already employs the same frame and CTGP predicts no
local preferred-frame effects.
The deep philosophical challenge that remains is whether a generative ontology is more than an
interpretive preference. That question cannot be settled by formal argument or by measurement alone;
it belongs to the broader debate over scientific realism, underdetermination, and inference to the
best explanation. CTGP’s contribution is to make the debate concrete: to specify the present
precisely, to show which physical realizations of it are consistent, and to identify the structural
commitment through which the ontology remains exposed to evidence.
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Appendix D. CTGP and Conscious Experience
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The relationship between CTGP's temporal ontology and the philosophy of mind is among the
framework's most distinctive contributions. This appendix develops the connection systematically.
Structural note on scope. CTGP operates at two analytically distinct levels that should be kept
separate when evaluating the framework’s physics credentials. The core theory — comprising §§1–12,
the σ formalism, ADM evolution, cosmological foliation, and the empirical standing set out in §12 —
is a standalone spacetime ontology that can be evaluated entirely on physics and philosophy-of-
physics merits, independent of the consciousness discussion. Appendix D extends CTGP’s temporal
ontology into the domain of mind and experience. This extension is motivated by the core theory —
the present-edge structure of M(σ) provides a natural locus for qualia — but it is not a
prerequisite for accepting the core framework. Readers primarily interested in the physics case may
treat Appendix D as an optional philosophical appendix. Its conclusions do not feed back into the
formal theorems of §17 or the empirical analysis of §§11–12. The physically instantiated criterion
(§D.4) and the mapping problem (§§D.5–D.6) are philosophical elaborations, not physical postulates
of the core theory. The discussion of conscious temporal experience throughout this appendix is
intended as phenomenological motivation for the CTGP framework rather than as empirical evidence for
it. This scope restriction applies to the qualia material collected here and not to the explanatory
arguments of the main text. In particular, the explanatory challenge to the block universe in §2.2
and the convergence of the thermodynamic, causal, cosmological, and memory-formation arrows in §3.4
are main-body arguments from explanatory economy, not claims about phenomenal consciousness, and
they stand or fall independently of anything in this appendix.
D.1 Qualia Ontology: Locus on Σ_σ
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
CTGP locates qualia — the intrinsic, subjective character of experience — on the present
hypersurface Σ_σ. The claim is not that qualia are identical to physical processes on Σ_σ (that
would presuppose a solution to the hard problem that CTGP does not claim to provide), but that
qualia are intrinsic to ongoing, physically instantiated processes at the present edge. The key
ontological theses are:
• Qualia are features of the present moment Σ_σ. They exist only as properties of processes that are
actively unfolding at the present edge of M(σ).
• Past brain states belong to the formal history M(σ). They were fully real when present, and their
consequences persist as causal records in present neural structure, but they do not persist as
qualia. The qualia associated with a past experience are not still 'present' in any ontologically
loaded sense.
• Memory is re-instantiation, not continuation. When one remembers a past experience, the relevant
neural patterns are re-activated at the present Σ_σ, producing a current experience that
represents the past. This maps onto empirical findings about memory reconsolidation.
Which experience is occurring. One may ask, of a four-dimensional person, why one particular brain
state is the one being experienced rather than another or all of them at once. Posed as a request
for a selection mechanism, the question has a ready eternalist answer: nothing selects, each state
is experienced at its own location, and “now” is indexical. The question that remains is sharper.
Assigning experiences to temporal parts establishes that each part has its experience; it is less
clear that it accounts for the diachronic fact of being an experiencer whose experience is actually
going on, rather than redescribing that fact in four-dimensional terms. CTGP answers with an
additional ontological fact: only the generatively active state is presently real and presently
undergoing physical realization. Earlier states were experienced when they were present and are not
experienced now, because they no longer exist; later states are not yet experienced, because they
have not been generated.
CTGP also provides a principled explanation for the apparent privacy and inaccessibility of fine-
grained experience. Because many internal processes leave limited or non-redundant causal traces,
the detailed structure of subjective experience is often underdetermined by publicly accessible
data. This follows directly from the limited persistence and recoverability of causal encodings,
rather than from any non-physical property of consciousness.
D.2 Classicalization as the Bridge Mechanism
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
How do microscopic quantum processes at Σ_σ give rise to determinate experiential states? CTGP
proposes classicalization — the combination of decoherence, amplification, and causal continuity —
as the physical bridge from microphysics to determinate experience. The mechanism works in three
stages:
First, decoherence suppresses quantum interference between macroscopically distinct states, yielding
effective classicality at the scale of neural dynamics. Second, amplification through biological
signal cascades converts microscopic state distinctions into macroscopic, causally potent
differences. Third, causal continuity — the fact that each Σ_{σ+Δσ} is generated from Σ_σ by
deterministic or stochastic lawful evolution — ensures that experiential states are embedded in a
continuous causal history, not isolated events.
These three stages together produce the physical conditions under which determinate experiential
states are possible. CTGP does not claim that classicalization provides an account of why there is
experience at all (the 'hard problem' in Chalmers's sense) but that it identifies the physical
architecture necessary for the qualia-capable processes that CTGP posits.
D.3 Necessary Conditions for Qualia on Σ_σ
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
CTGP proposes the following as necessary (not sufficient) conditions for a physical process to be a
vehicle of qualia:
• Robust classical dynamics: the process must be sufficiently decohered that quantum interference is
negligible at the relevant scale.
• Organized integration: the process must integrate information across multiple degrees of freedom
in an organized, non-random way. (This condition is related to but not identical to IIT's phi; see
below.)
• Causal continuity: the process must be embedded in a continuous causal chain connecting it to past
states within M(σ). Isolated, causally disconnected events are not qualia-capable on this account.
• Physical instantiation: the vehicle of qualia must be an actual, physically instantiated process,
not the structure that a description or simulation represents. This condition excludes represented
structure as a locus of experience; it does not by itself exclude any physical system, including
the physical system carrying out a simulation. See §D.4.
D.4 Domain-Relative Instantiation Criterion
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
D.4.1 Operational Clarification of the Physically Instantiated Criterion
The physically instantiated criterion should not be interpreted as a presently established empirical
discriminator between conscious and non-conscious systems. Rather, it functions as a research
hypothesis concerning the relationship between phenomenal experience and physical realization.
Formally, CTGP distinguishes three claims:
(1) Structural Equivalence Claim: Two systems may exhibit identical input-output behavior and
implement isomorphic computational structures.
(2) Instantiation Claim: Structural equivalence alone does not guarantee identity of physically
realized causal dynamics.
(3) Phenomenal Dependence Claim: If phenomenal experience depends in part upon intrinsic
physical properties rather than solely upon abstract functional organization, then structurally
equivalent systems may differ phenomenally despite computational equivalence.
CTGP does not presently provide an experimentally validated criterion capable of determining whether
a given substrate possesses the intrinsic properties relevant to phenomenal experience. The
framework therefore treats the physically instantiated criterion as a philosophical hypothesis that
motivates empirical investigation rather than as a demonstrated result.
Accordingly, CTGP does not claim that digital simulations are known to lack qualia. It claims only
that functional equivalence by itself is insufficient to establish phenomenal equivalence. Whether
artificial substrates instantiate the relevant intrinsic properties remains an open question.
D.4.2 Representation and Instantiation
One of CTGP's most distinctive commitments is the domain-relative instantiation criterion. It claims
that representing a process is not the same as instantiating it, and that this distinction matters
for qualia.
A computational simulation of neural dynamics encodes structural patterns and may reproduce
input–output behaviour, but the simulation's states are symbolic representations of a process rather
than the process itself. CTGP suggests that qualia depend on the actual physical instantiation of
processes at Σ_σ—physical dynamics actively unfolding in the present—rather than on the manipulation
of representations. This view leaves open whether some digital or other substrates might instantiate
the relevant dynamics; it cautions only that functional equivalence alone does not guarantee that
the requisite physical processes are present.
This criterion grounds CTGP's cautious stance on strong functionalism. While functional organisation
may be necessary for qualia, it may not be sufficient: the nature of the underlying physical process
could matter. CTGP's domain-relative instantiation criterion is a philosophical elaboration of the
Representation–Instantiation Distinction and does not modify any equation of the core framework. It
emphasises that the framework's claims about mind are metaphysical extensions of its temporal
ontology, not empirically settled facts.