Risks of Pancomputationalism

In the paper's words

This paper addresses the profound challenges inherent in developing theories of emergent spacetime, which posit that spacetime is not fundamental but arises from a deeper, pre-geometric reality. The central generative thesis is that the pursuit of this pre-geometric bedrock is fraught with two primary perils: the risk of becoming lost in purely formal mathematical abstraction, leading to theories detached from physical intuition and empirical testability, and the risk of falling into the philosophical void of trivial pancomputationalism, where the concept of “computation” loses all explanatory power. This document meticulously dissects these risks, analyzing the inherent nature of mathematical abstraction and critically examining the philosophical arguments against trivial pancomputationalism.

The abstract, verbatim, and its opening sentence is the claim. Every line below is quoted from the text.

Numbers it reports

1. This represents an energy scale some 15 orders of magnitude beyond the reach of our most powerful particle accelerators.

   from 3.2 The Risks of Detachment

2. Representing this space might require on the order of 10,000 logical qubits (Quni-Gudzinas, 2025a, Appendix C, Section 11.2.3.2).

   from 9.2 A Roadmap for

3. 9.3.3 Compute the Cosmological Constant within 1% Error Another significant computational goal is to utilize the framework’s spectral dimension flow mechanism to compute the observed value of the cosmological constant, $\Lambda$, with a precision that matches or exceeds current cosmological measurements (Quni-Gudzinas, 2025a, Appendix C, Section 11.3.3; Quni-Gudzinas, 2025e, Part III, Chapter 8, Section 8.4.3).

   from 9.3

4. 9.4.1 Gravitational Wave Observatories The Einstein Telescope , an underground observatory with 10-kilometer arms and cryogenic detectors, is expected to achieve a sensitivity of 1–10 kHz.

   from 9.4 Experimental

5. It aims for precision Higgs couplings (less than 1%) and Higgs self-coupling measurements (around 5%), providing critical data for the geometric derivation of Standard Model parameters (Quni-Gudzinas, 2025a, Section 6.2.4.0).

   from 9.4 Experimental

6. The Astrophysical Journal , 704 (2), 1275. [10.1088/0004-637X/704/2/1275] Wolfram, S.

   from 12.0 References

How it is done

1. Such an approach presupposes the existence of the very spacetime continuum that is now considered emergent.

   from 1.2 The Paradigm Shift

2. A functionalist approach to spacetime posits that the identity of spacetime is not defined by its intrinsic substance or fundamental nature, but rather by the functional roles it performs.

   from 2.1 The Foundational

3. It posits that the fundamental structure of the universe is a causal set , which is formally defined as a discrete, locally finite, partially ordered set.

   from 2.2

4. 3.1.2 The Functorial Framework: Illustrating Abstraction in the Emergence Process The entire program of emergent spacetime can be formally framed as the search for a specific emergence functor , which can be designated as $F_{emergence}$.

   from 3.1 The

What would falsify it

1. The scientific value of the Axiomatic Universe Framework is profoundly anchored in its capacity to generate precise, testable, and falsifiable predictions.

   from 8.2 Falsifiable Predictions

2. Each prediction set targets a core tenet of the framework, transforming specific experimental and observational programs into active “proof-checkers” of its cosmic theorems.

   from 8.2 Falsifiable Predictions

3. These pillars are designed to be mutually reinforcing, providing a broad and robust basis for either the validation or refutation of the framework as a whole.

   from 8.2 Falsifiable Predictions

Where the claim stops

1. A successful theory of quantum gravity cannot, therefore, simply unify the equations of the General Theory of Relativity and Quantum Field Theory.

   from 1.1 The Foundational

2. It must provide a new, more fundamental semantics—a pre-geometric language—from which the distinct conceptual frameworks of both theories can be recovered as valid approximations in their respective domains of applicability.

   from 1.1 The Foundational

3. The smooth fabric of spacetime is seen as an illusion, a coarse-grained approximation of a fundamentally discrete and non-spatiotemporal substrate.

   from 1.2 The Paradigm Shift

Where to read

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12. 12.0 References853 words · 4 min