physical space :: space of quantum eigenstates/degrees of freedom
moving in space :: entangling/measuring more degrees of freedom
velocity :: rate of entanglement/measurement
speed of light :: maximum rate of measurement
light cone :: entanglement cone
c (speed of light) :: ℏ (quantum constant)
spacelike separation :: branchlike separation
choice of foliation (spacelike hypersurfaces) :: choice of observer
inertial frame :: observer with no external input
light signals as carriers of information :: [[ spins as carriers of quantum information ]]
world line :: measurement plan
simultaneity (spacelike hypersurface) :: branchlike hypersurface defined by an observer
relativity of simultaneity (different spacelike orderings of events) :: different branchlike ordering by different observers
(inertial) frame independence :: observer independence [both agree about timelike ordering]
timelike ordering of events is detectable :: uncertainty principle (timelike measurements affect each other)
Minkowski space :: XXXX
barnpole paradox ::
no preferred frame ::
momentum ::
energy [[ of motion ]] ::
time dilation : quantum Zeno’s paradox
spatial graph :: branchial graph
spacetime causal graph :: (part of) multiway causal graph
moving in space :: entangling/measuring more degrees of freedom
velocity :: rate of entanglement/measurement
speed of light :: maximum rate of measurement
light cone :: entanglement cone
c (speed of light) :: ℏ (quantum constant)
spacelike separation :: branchlike separation
choice of foliation (spacelike hypersurfaces) :: choice of observer
inertial frame :: observer with no external input
light signals as carriers of information :: [[ spins as carriers of quantum information ]]
world line :: measurement plan
simultaneity (spacelike hypersurface) :: branchlike hypersurface defined by an observer
relativity of simultaneity (different spacelike orderings of events) :: different branchlike ordering by different observers
(inertial) frame independence :: observer independence [both agree about timelike ordering]
timelike ordering of events is detectable :: uncertainty principle (timelike measurements affect each other)
Minkowski space :: XXXX
barnpole paradox ::
no preferred frame ::
momentum ::
energy [[ of motion ]] ::
time dilation : quantum Zeno’s paradox
spatial graph :: branchial graph
spacetime causal graph :: (part of) multiway causal graph
[[[uncertainty principle (nonzero commutators) :: spacetime curvature (nonzero Riemann tensor)]]]
quantum measurements : updating events with a choice of outcomes
quantum eigenstates : branches in multiway system
observer in quantum mechanics : branchlike hypersurface foliation
elementary unit of entanglement : critical pair branching
quantum eigenstates : branches in multiway system
observer in quantum mechanics : branchlike hypersurface foliation
elementary unit of entanglement : critical pair branching
states are rays in Hilbert space : the branchial graph is transitive
Other claims
Other claims
Critical pair branch : canonical commutation relation
[r1, r2] = XXXX
[r1, r2] = XXXX
“Multiway relativity” : timelike orderings are preserved, independent of the choice of branchlike surfaces (aka choice of observer)