diff --git a/specs/capella/beacon-chain.md b/specs/capella/beacon-chain.md
index 3b6dc44539..433ccba57f 100644
--- a/specs/capella/beacon-chain.md
+++ b/specs/capella/beacon-chain.md
@@ -21,6 +21,7 @@
     - [`Withdrawal`](#withdrawal)
     - [`BLSToExecutionChange`](#blstoexecutionchange)
     - [`SignedBLSToExecutionChange`](#signedblstoexecutionchange)
+    - [`HistoricalBatchSummary`](#historicalbatchsummary)
   - [Extended Containers](#extended-containers)
     - [`ExecutionPayload`](#executionpayload)
     - [`ExecutionPayloadHeader`](#executionpayloadheader)
@@ -37,6 +38,7 @@
   - [Epoch processing](#epoch-processing)
     - [Full withdrawals](#full-withdrawals)
     - [Partial withdrawals](#partial-withdrawals)
+    - [Historical batches updates](#historical-batches-updates)
   - [Block processing](#block-processing)
     - [New `process_withdrawals`](#new-process_withdrawals)
     - [Modified `process_execution_payload`](#modified-process_execution_payload)
@@ -132,6 +134,18 @@ class SignedBLSToExecutionChange(Container):
     signature: BLSSignature
 ```
 
+#### `HistoricalBatchSummary`
+
+```python
+class HistoricalBatchSummary(Container):
+    """
+    `HistoricalBatchSummary` matches the components of the phase0 HistoricalBatch
+    making the two hash_tree_root-compatible.
+    """
+    block_batch_root: Root
+    state_batch_root: Root
+```
+
 ### Extended Containers
 
 #### `ExecutionPayload`
@@ -213,7 +227,7 @@ class BeaconState(Container):
     latest_block_header: BeaconBlockHeader
     block_roots: Vector[Root, SLOTS_PER_HISTORICAL_ROOT]
     state_roots: Vector[Root, SLOTS_PER_HISTORICAL_ROOT]
-    historical_roots: List[Root, HISTORICAL_ROOTS_LIMIT]
+    historical_roots: List[Root, HISTORICAL_ROOTS_LIMIT] # Frozen in Merge, replaced by historical_batches
     # Eth1
     eth1_data: Eth1Data
     eth1_data_votes: List[Eth1Data, EPOCHS_PER_ETH1_VOTING_PERIOD * SLOTS_PER_EPOCH]
@@ -244,6 +258,8 @@ class BeaconState(Container):
     withdrawal_queue: List[Withdrawal, WITHDRAWAL_QUEUE_LIMIT]  # [New in Capella]
     next_withdrawal_index: WithdrawalIndex  # [New in Capella]
     next_partial_withdrawal_validator_index: ValidatorIndex  # [New in Capella]
+    # Deep history
+    historical_batches: List[HistoricalBatchSummary, HISTORICAL_ROOTS_LIMIT] # Valid from Merge onwards
 ```
 
 ## Helpers
@@ -320,7 +336,7 @@ def process_epoch(state: BeaconState) -> None:
     process_effective_balance_updates(state)
     process_slashings_reset(state)
     process_randao_mixes_reset(state)
-    process_historical_roots_update(state)
+    process_historical_batches_update(state)
     process_participation_flag_updates(state)
     process_sync_committee_updates(state)
     process_full_withdrawals(state)  # [New in Capella]
@@ -367,6 +383,21 @@ def process_partial_withdrawals(state: BeaconState) -> None:
     state.next_partial_withdrawal_validator_index = validator_index
 ```
 
+#### Historical batches updates
+
+*Note*: The function `process_historical_batches_update` replaces `process_historical_roots_update` in phase0.
+
+```python
+def process_historical_batches_update(state: BeaconState) -> None:
+    # Set historical block root accumulator
+    next_epoch = Epoch(get_current_epoch(state) + 1)
+    if next_epoch % (SLOTS_PER_HISTORICAL_ROOT // SLOTS_PER_EPOCH) == 0:
+        historical_batch = HistoricalBatchSummary(
+            block_batch_root=hash_tree_root(state.block_roots),
+            state_batch_root=hash_tree_root(state.state_roots))
+        state.historical_batches.append(historical_batch)
+```
+
 ### Block processing
 
 ```python