The Universe as A Relational System: A Novel Quantum–Cosmological Framework From “One Plus One Equals Four” Explaining the Dark Energy Mechanism
DOI:
https://doi.org/10.65150/EP-jnsrr/V2E10/2026-01Keywords:
quantum cosmology, general relativity, black-hole information, spacetime topology, N+1=4, vacuum energy, dark energy, extra dimensions, relational universe, theoretical model, Folding EnergyAbstract
This paper revises and develops a novel quantum-cosmological conceptual model in which the observable universe is treated as one sector of a broader relational structure. The expression “one plus one equals four” is reformulated not as an arithmetic claim but as a description of how two potentially related spacetime sectors may jointly generate a four-dimensional relational framework. This framework comprises asymmetric spatial contributions from each sector together with a shared temporal dimension and an interface that encodes relational data. Three central concepts are introduced: (i) the corresponding cosmic sector, (ii) black-hole horizons interpreted as possible information boundaries between sectors, and (iii) “folding energy” as a hypothetical effective contribution associated with geometry, topology, compactification, or inter-sector coupling. A preliminary mathematical structure is outlined involving two manifolds, an interface region, a coupling term that respects the asymmetry of the spatial sectors, and an effective action. The framework deliberately distinguishes established physical principles, mathematically admissible constructions, and purely conjectural interpretations. While the model remains speculative, it offers a conceptual bridge that may help orient future investigations into the relationship between quantum theory and gravitation.
References
1) Einstein, A. (1916). Die Grundlage der allgemeinen Relativitätstheorie. Annalen der Physik, 49(7), 769–822.
2) Dirac, P. A. M. (1930). The Principles of Quantum Mechanics. Oxford University Press.
3) Hawking, S. W. (1975). Particle creation by black holes. Communications in Mathematical Physics, 43(3), 199–220.
4) Bekenstein, J. D. (1973). Black holes and entropy. Physical Review D, 7(8), 2333–2346.
5) ’t Hooft, G. (1993). Dimensional reduction in quantum gravity. arXiv:gr-qc/9310026.
6) Susskind, L. (1995). The world as a hologram. Journal of Mathematical Physics, 36(11), 6377–6396.
7) Maldacena, J. (1999). The large-N limit of superconformal field theories and supergravity. International Journal of Theoretical Physics, 38(4), 1113–1133.
8) Randall, L., & Sundrum, R. (1999). An alternative to compactification. Physical Review Letters, 83(23), 4690–4693.
9) Arkani-Hamed, N., Dimopoulos, S., & Dvali, G. (1998). The hierarchy problem and new dimensions at a millimeter. Physics Letters B, 429(3–4), 263–272.
10) Polchinski, J. (1998). String Theory (Vols. 1–2). Cambridge University Press.
11) Rovelli, C. (2004). Quantum Gravity. Cambridge University Press.
12) Ashtekar, A., & Lewandowski, J. (2004). Background independent quantum gravity: A status report. Classical and Quantum Gravity, 21(15), R53–R152.
13) Weinberg, S. (1989). The cosmological constant problem. Reviews of Modern Physics, 61(1), 1–23.
14) Padmanabhan, T. (2003). Cosmological constant—the weight of the vacuum. Physics Reports, 380(5–6), 235–320.
15) Almheiri, A., Marolf, D., Polchinski, J., & Sully, J. (2013). Black holes: Complementarity or firewalls? Journal of High Energy Physics, 2013(2), 62.
16) Harlow, D. (2016). Jerusalem lectures on black holes and quantum information. Reviews of Modern Physics, 88(1), 015002.
17) Verlinde, E. (2011). On the origin of gravity and the laws of Newton. Journal of High Energy Physics, 2011(4), 29.
18) Jacobson, T. (1995). Thermodynamics of spacetime: The Einstein equation of state. Physical Review Letters, 75(7), 1260–1263.
19) Penrose, R. (2004). The Road to Reality: A Complete Guide to the Laws of the Universe. Jonathan Cape.
20) Smolin, L. (2001). Three Roads to Quantum Gravity. Basic Books.
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