- Don Hoffman
- Thanks to Bruce Bennett, Jon Merzel, Chetan Prakash, Phat Vu
## Plan - Consciousness fundamental
- Conscious observer, agent
- Fundamental postulates
- Dynamics of agents: 1D, 2D, 3D
- Agents -> Physics: Symmetries
- Relativistic spin half particles
- Discrete space-time
*Science *Top Open Questions - What is the universe made of?
- What is the biological basis of consciousness?
## McGinn *Mind* - We know that brains are the de facto causal basis of consciousness, but we have, it seems, no understanding whatever of how this can be so.
## Postulate 1 *Ontological Postulate* - All that exists is consciousness and its contents.
## Mind-Body Problem **Physicalist**: Describe precisely how consciousness arises from, or is identical to, certain types of physical systems. **Conscious Realist**: Describe precisely how conscious agents construct physical objects and their properties. - Input: 2D motions of dots
- Output: 3D cylinder in rigid motion
- Ullman: 3 views of 4 points
## Ullman’s SFM Theorem - The views almost surely have no rigid 3D interpretations.
- If the views have any rigid interpretations, then they almost surely have precisely 2.
- Given 3 orthographic views of 4 non-coplanar points
## Ullman’s SFM Observer ## Conscious Observer *X, Y *measurable spaces *E, S* events *p *measurable map *q *markovian kernel ## Observer Thesis - Every synchronic perceptual capacity, regardless of modality, can be described as an instance of a conscious observer.
## Fundamental Conscious Act: - Create new conscious experiences.
## Fundamental Conscious Act ## Postulate 2 *Experience Postulate* - Conscious observers create new experiences.
## Conscious Observers & Macroscopic Physical Objects - Objects
- Color
- Motion
- Shape
## Multimodal User Interface MUI - The conscious perceptual experiences of an agent are a multimodal user interface between that agent and an objective world.
## Pinker *How the Mind Works* - We are organisms, not angels, and our minds are organs, not pipelines to the truth. Our minds evolved by natural selection to solve problems that were life-and-death matters to our ancestors, not to commune with correctness.
## Postulate 3 *Action Postulate* - Conscious agents act by moving on a state space of conscious observers.
## Postulate 4 *Physics Postulate* - Physics represents stabilities of the dynamics of conscious agents.
## Dynamics In One Dimension - Approach: Stable: Invariant measure
- Depart: Unstable: No invariant measure
## Dynamics In One Dimension ## Dynamics In One Dimension ## Dynamics In One Dimension ## Look Probability - Nearer Agent --> Higher probability
- Agent Distances --> No-Look probability
## Dynamics In Two Dimensions ## Dynamics In Two Dimensions ## Dynamics In Two Dimensions ## Agent Dynamics In 2D ## Dynamics In Two Dimensions ## Dynamics In Two Dimensions ## Agent Dynamics in 3D ## Agent Dynamics in 3D ## Agent Dynamics in 3D ## Particle Accelerator Experiment ## Eight Agents in 3D ## Agent Dynamics in 4D ## Postulate 5 *Unity Postulate* - Conscious agents in stable dynamics create a new unified consciousness.
## Agent Dynamics in 3D ## Spin Transformation: SL(2,C) ## Spin Action on Agents ## Stereographic Projection To Argand Plane ## Celestial Sphere ## Lorentz Invariance ## Spin To Minkowski ## Spin To Minkowski ## Spin Theorem 1 - Every spin transformation corresponds to a unique restricted Lorentz transformation; conversely every restricted Lorentz transformation corresponds to two spin transformations, one being the negative of the other.
## Spin Theorem 2 - Every unitary spin transformation corresponds to a unique proper rotation of S+; conversely every proper rotation of S+ corresponds to two unitary spin transformations, one being the negative of the other.
## Unitary Spin in Euler Angles ## Lorentz Boost *w* = relativistic doppler factor - r = log
*w *is the rapidity *v = *tanh *r* is the velocity factor ## Internal Spin No Effect on Minkowski ## Lee Smolin *Three Roads To Quantum Gravity* - The apparent smoothness of space and time are illusions; behind them is a world composed of discrete events, which can be counted. (p.62)
## Brian Greene *The Fabric of the Cosmos* - ... space, like electrons, comes in discrete, indivisible chunks. (p.491)
- ... the very fabric of space and time is composed of more fundamental spaceless and timeless entities. (p.493)
## Physics From Consciousness - Don Hoffman
- Thanks to Bruce Bennett, Jon Merzel, Chetan Prakash, Phat Vu
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