Document Type : Letter
Authors
1 Irving K. Barber School of Arts and Sciences, University of British Columbia Okanagan, Kelowna, British Columbia V1V 1V7, Canada; Canadian Quantum Research Center, 204-3002 32 Ave, Vernon, BC V1T 2L7, Canada; Department of Mathematical Sciences, Durham University, Upper Mountjoy, Stockton Road, Durham DH1 3LE, UK; Faculty of Sciences, Hasselt University, Agoralaan Gebouw D, Diepenbeek, 3590, Belgium;
2 Origin Project Foundation, Phoenix, AZ 85018, USA
3 Canadian Quantum Research Center, 204-3002 32 Ave, Vernon, BC V1T 2L7, Canada
4 CNR-Istituto Nazionale di Ottica and INFN, Via Sansone 1, I-50019 Sesto Fiorentino (FI), Italy
Abstract
We clarify that we present a non-anthropocentric framework in which nature itself instantiates both algorithmic and non-algorithmic truths. While computable structures such as solutions of the Einstein equations are realized independently of human description, we argue that G\"odelian non-algorithmic truths are likewise objectively actualized in physical reality. Although the Lucas-Penrose argument is superficially similar, it concerns the nature of human consciousness, whereas our claim is fundamentally different in scope. We apply this reasoning to the structure of reality itself, independent of human consciousness. Consequently, objections based on the possible inconsistency of human reasoning are not applicable here, since assuming nature itself to be inconsistent is not tenable, as it would collapse the distinction between true and false physical claims.
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