Banks-Fischler Holographic Space-Time
A de Sitter holography proposal: spacetime has a finite-dimensional Hilbert space tied to the area of the cosmological horizon. Banks and Fischler are developing the framework as an alternative to AdS/CFT for our positive-cosmological-constant universe.
Placeholder for a 3D visualisation of Emergent Spacetime & Gravity. The interactive scene will land in Phase 3. These three programs agree on a single editorial commitment: continuum spacetime is not a fundamental ingredient of reality but emerges from something else. They disagree on what that 'something else' is. Holographic approaches encode spacetime in entanglement on a lower-dimensional boundary. Jacobson derived Einstein's equation as a thermodynamic equation of state on local horizons. Verlinde extended the thermodynamic-holographic picture and claimed dark matter is emergent too.
§1 · The claim, in one sentence
Tom Banks and Willy Fischler are developing a de Sitter holography framework in which spacetime has a finite-dimensional Hilbert space tied to the area of the cosmological horizon. The program began with the 2001 'M-theory observables for cosmological space-times' paper and continues actively through 2020 (Banks-Fischler 'Holographic space-time, Newton's law, and the dynamics of horizons'). Holographic Space-Time (HST) is an alternative to AdS/CFT for our positive-cosmological constant universe: instead of an infinite-dimensional CFT on a conformal boundary, the framework posits a finite-dimensional Hilbert space whose size grows with the area of the cosmological event horizon.
§2 · Why it might be true
The AdS/CFT correspondence (sibling variant) is precise only in anti-de Sitter spacetime, where the boundary is at infinity and the conformal field theory there has infinitely many degrees of freedom. Our universe has positive cosmological constant (de Sitter-like), with a finite cosmological horizon at distance roughly 1/H where H is the Hubble parameter. The de Sitter holographic principle (Bousso, Banks-Fischler in early 2000s) requires a finite-dimensional Hilbert space, in contrast to the infinite-dimensional structure of AdS/CFT.
Banks and Fischler proposed that the appropriate dual description involves a discrete causal-diamond structure with a finite-dimensional Hilbert space whose size grows with the area of the cosmological horizon (in Planck units). The 2001 paper 'M-theory observables for cosmological space-times' (arXiv:hep-th/0102077, 263 INSPIRE citations) established the framework's foundations. The 2001 follow-up 'An holographic cosmology' (arXiv:hep-th/0111142, 156 citations) extended the construction to cosmological evolution.
Both Banks and Fischler are alive and active in this program. The 2020 paper 'Holographic space-time, Newton's law, and the dynamics of horizons' (arXiv:2003.03637, 36 citations) demonstrates the framework's continued development. The 2010 'Holographic space-time and its phenomenological implications' (arXiv:1004.2736) and the 2011 'Holographic Space-Time: The Takeaway' (arXiv:1109.2435) are reader-friendly entry points into the program. The 2010 Banks TASI Lectures (arXiv:1007.4001) provide a structured introduction. The framework is a minority position in the broader holography landscape but is technically alive and contributes to the de Sitter-holography literature.
The family stance
Spacetime is not fundamental. It emerges from a deeper structure: entanglement patterns or thermodynamic relations on horizons. None of these has been confirmed; each makes some testable predictions but most operate at conceptual or structural levels.
§2.5 · Evidence
- The framework provides one of the few concrete de Sitter holography proposals; the AdS/CFT correspondence is exact only in anti-de Sitter spacetime
- Banks and Fischler are both active senior researchers (Banks at UC Santa Cruz, Fischler at UT Austin); the program continues to receive contributions and external engagement
- Connections to mainstream holography (information bounds, Bousso entropy bound, area-law entanglement) provide a substantive foundation for the framework's central claims
- The 2020 paper's connection to Newton's law from holography is a concrete technical achievement, demonstrating the framework's continued technical productivity
§3 · What you'd need to test it
- Spacetime has a finite-dimensional Hilbert space whose dimension grows with the area of the cosmological horizon, in Planck units
- The cosmological horizon is the carrier of physical degrees of freedom; observers in different causal diamonds have access to different finite-dimensional Hilbert spaces with consistent overlap structure
- Newton's law of gravity emerges from the holographic structure at large distances; the 2020 Banks-Fischler paper makes this connection technically explicit
- Specific implications for the dynamics of black-hole and cosmological horizons that distinguish the framework from AdS/CFT and other holographic proposals
§4 · Where it breaks
- The framework is a minority position in the broader holography landscape; the AdS/CFT correspondence dominates the empirical and conceptual conversation
- The de Sitter holography problem remains unsolved despite Banks-Fischler's work and parallel efforts (Anninos-Hartman-Strominger, others); no consensus de Sitter holography has emerged
- The framework's predictive content beyond consistency with known physics is limited; few unique observational signatures distinguish it from alternative de Sitter holographic programs
- Some of the central technical claims (finite-dimensional Hilbert space, specific causal-diamond structure) are framework-defining choices rather than derived properties; the choice itself shapes what can be calculated
Go deeper
The causal-diamond structure central to HST is the set of spacetime events accessible to a finite observer (the intersection of past and future light cones from the observer's worldline). In de Sitter spacetime, the causal diamond is finite in area; HST posits a finite-dimensional Hilbert space whose dimension scales with this area. The framework develops the consequences of this assumption systematically.
Banks and Fischler 2020 (arXiv:2003.03637) derives Newton's law as an effective consequence of the holographic structure at large distances; the construction is technically non-trivial and represents the program's continued productivity. The 2010 Banks TASI Lectures (arXiv:1007.4001, 73 INSPIRE citations) provide a structured introduction to the framework's foundations.
Cross-references: the sibling Holographic Spacetime variant covers the broader holographic principle that AdS/CFT and HST both realize in different settings. The AdS/CFT Correspondence variant in this same family covers the technical alternative for anti-de Sitter spacetime. The Black Hole Information Paradox family in Ch.6 covers specific holographic mechanisms (ER=EPR, Island Formula) that are most cleanly developed in AdS/CFT but motivate parallel HST work.
Variants in this family
▸§5 · Who built it, and when(5 sources, 5 established)
- EstablishedBanks, T. & Fischler, W. (2001). 'M theory observables for cosmological space-times.' arXiv:hep-th/0102077
- EstablishedBanks, T. & Fischler, W. (2001). 'An Holographic cosmology.' arXiv:hep-th/0111142
- EstablishedBanks, T. (2010). 'TASI Lectures on Holographic Space-Time, SUSY and Gravitational Effective Field Theory.' arXiv:1007.4001
- EstablishedBanks, T. (2011). 'Holographic Space-Time: The Takeaway.' arXiv:1109.2435
- EstablishedBanks, T. & Fischler, W. (2023). 'Holographic space-time, Newton's law, and the dynamics of horizons.' Adv. Theor. Math. Phys. 27, 65
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