diff --git a/esphome/components/ac_dimmer/ac_dimmer.cpp b/esphome/components/ac_dimmer/ac_dimmer.cpp
index 16101a1c2c..4901719b32 100644
--- a/esphome/components/ac_dimmer/ac_dimmer.cpp
+++ b/esphome/components/ac_dimmer/ac_dimmer.cpp
@@ -114,13 +114,14 @@ void IRAM_ATTR HOT AcDimmerDataStore::gpio_intr() {
     // fully off, disable output immediately
     this->gate_pin.digital_write(false);
   } else {
+    auto min_us = this->cycle_time_us * this->min_power / 1000;
     if (this->method == DIM_METHOD_TRAILING) {
       this->enable_time_us = 1;  // cannot be 0
-      this->disable_time_us = std::max((uint32_t) 10, this->value * this->cycle_time_us / 65535);
+      // calculate time until disable in µs with integer arithmetic and take into account min_power
+      this->disable_time_us = std::max((uint32_t) 10, this->value * (this->cycle_time_us - min_us) / 65535 + min_us);
     } else {
       // calculate time until enable in µs: (1.0-value)*cycle_time, but with integer arithmetic
       // also take into account min_power
-      auto min_us = this->cycle_time_us * this->min_power / 1000;
       this->enable_time_us = std::max((uint32_t) 1, ((65535 - this->value) * (this->cycle_time_us - min_us)) / 65535);
 
       if (this->method == DIM_METHOD_LEADING_PULSE) {
diff --git a/esphome/components/bluetooth_proxy/bluetooth_proxy.cpp b/esphome/components/bluetooth_proxy/bluetooth_proxy.cpp
index a263aca456..03213432cd 100644
--- a/esphome/components/bluetooth_proxy/bluetooth_proxy.cpp
+++ b/esphome/components/bluetooth_proxy/bluetooth_proxy.cpp
@@ -265,6 +265,12 @@ void BluetoothProxy::bluetooth_device_request(const api::BluetoothDeviceRequest
                  connection->get_connection_index(), connection->address_str().c_str());
         return;
       } else if (connection->state() == espbt::ClientState::CONNECTING) {
+        if (connection->disconnect_pending()) {
+          ESP_LOGW(TAG, "[%d] [%s] Connection request while pending disconnect, cancelling pending disconnect",
+                   connection->get_connection_index(), connection->address_str().c_str());
+          connection->cancel_pending_disconnect();
+          return;
+        }
         ESP_LOGW(TAG, "[%d] [%s] Connection request ignored, already connecting", connection->get_connection_index(),
                  connection->address_str().c_str());
         return;
diff --git a/esphome/components/esp32_ble_tracker/esp32_ble_tracker.h b/esphome/components/esp32_ble_tracker/esp32_ble_tracker.h
index 99126f9173..8b712a01ea 100644
--- a/esphome/components/esp32_ble_tracker/esp32_ble_tracker.h
+++ b/esphome/components/esp32_ble_tracker/esp32_ble_tracker.h
@@ -173,6 +173,8 @@ class ESPBTClient : public ESPBTDeviceListener {
   virtual void gap_event_handler(esp_gap_ble_cb_event_t event, esp_ble_gap_cb_param_t *param) = 0;
   virtual void connect() = 0;
   virtual void disconnect() = 0;
+  bool disconnect_pending() const { return this->want_disconnect_; }
+  void cancel_pending_disconnect() { this->want_disconnect_ = false; }
   virtual void set_state(ClientState st) {
     this->state_ = st;
     if (st == ClientState::IDLE) {
diff --git a/esphome/components/lvgl/lvgl_esphome.cpp b/esphome/components/lvgl/lvgl_esphome.cpp
index 8d8380d429..4c30d14e15 100644
--- a/esphome/components/lvgl/lvgl_esphome.cpp
+++ b/esphome/components/lvgl/lvgl_esphome.cpp
@@ -120,6 +120,7 @@ void LvglComponent::add_event_cb(lv_obj_t *obj, event_callback_t callback, lv_ev
 void LvglComponent::add_page(LvPageType *page) {
   this->pages_.push_back(page);
   page->set_parent(this);
+  lv_disp_set_default(this->disp_);
   page->setup(this->pages_.size() - 1);
 }
 void LvglComponent::show_page(size_t index, lv_scr_load_anim_t anim, uint32_t time) {
diff --git a/esphome/components/lvgl/widgets/arc.py b/esphome/components/lvgl/widgets/arc.py
index dc120e4cbb..65f0e785b6 100644
--- a/esphome/components/lvgl/widgets/arc.py
+++ b/esphome/components/lvgl/widgets/arc.py
@@ -67,12 +67,13 @@ class ArcType(NumberType):
             lv.arc_set_mode(w.obj, literal(config[CONF_MODE]))
             lv.arc_set_change_rate(w.obj, config[CONF_CHANGE_RATE])
 
-        if config.get(CONF_ADJUSTABLE) is False:
-            lv_obj.remove_style(w.obj, nullptr, literal("LV_PART_KNOB"))
-            w.clear_flag("LV_OBJ_FLAG_CLICKABLE")
-        elif CONF_GROUP not in config:
-            # For some reason arc does not get automatically added to the default group
-            lv.group_add_obj(lv_expr.group_get_default(), w.obj)
+        if CONF_ADJUSTABLE in config:
+            if not config[CONF_ADJUSTABLE]:
+                lv_obj.remove_style(w.obj, nullptr, literal("LV_PART_KNOB"))
+                w.clear_flag("LV_OBJ_FLAG_CLICKABLE")
+            elif CONF_GROUP not in config:
+                # For some reason arc does not get automatically added to the default group
+                lv.group_add_obj(lv_expr.group_get_default(), w.obj)
 
         value = await get_start_value(config)
         if value is not None:
diff --git a/esphome/components/lvgl/widgets/dropdown.py b/esphome/components/lvgl/widgets/dropdown.py
index b32b5a2b2e..9ff183f3dd 100644
--- a/esphome/components/lvgl/widgets/dropdown.py
+++ b/esphome/components/lvgl/widgets/dropdown.py
@@ -36,7 +36,6 @@ DROPDOWN_BASE_SCHEMA = cv.Schema(
         cv.Optional(CONF_SYMBOL): lv_text,
         cv.Exclusive(CONF_SELECTED_INDEX, CONF_SELECTED_TEXT): lv_int,
         cv.Exclusive(CONF_SELECTED_TEXT, CONF_SELECTED_TEXT): lv_text,
-        cv.Optional(CONF_DIR, default="BOTTOM"): DIRECTIONS.one_of,
         cv.Optional(CONF_DROPDOWN_LIST): part_schema(dropdown_list_spec.parts),
     }
 )
@@ -44,12 +43,14 @@ DROPDOWN_BASE_SCHEMA = cv.Schema(
 DROPDOWN_SCHEMA = DROPDOWN_BASE_SCHEMA.extend(
     {
         cv.Required(CONF_OPTIONS): cv.ensure_list(option_string),
+        cv.Optional(CONF_DIR, default="BOTTOM"): DIRECTIONS.one_of,
     }
 )
 
 DROPDOWN_UPDATE_SCHEMA = DROPDOWN_BASE_SCHEMA.extend(
     {
         cv.Optional(CONF_OPTIONS): cv.ensure_list(option_string),
+        cv.Optional(CONF_DIR): DIRECTIONS.one_of,
     }
 )
 
diff --git a/esphome/components/lvgl/widgets/img.py b/esphome/components/lvgl/widgets/img.py
index d9de8d821a..c3e0781489 100644
--- a/esphome/components/lvgl/widgets/img.py
+++ b/esphome/components/lvgl/widgets/img.py
@@ -20,8 +20,8 @@ CONF_IMAGE = "image"
 
 BASE_IMG_SCHEMA = cv.Schema(
     {
-        cv.Optional(CONF_PIVOT_X, default="50%"): size,
-        cv.Optional(CONF_PIVOT_Y, default="50%"): size,
+        cv.Optional(CONF_PIVOT_X): size,
+        cv.Optional(CONF_PIVOT_Y): size,
         cv.Optional(CONF_ANGLE): angle,
         cv.Optional(CONF_ZOOM): zoom,
         cv.Optional(CONF_OFFSET_X): size,
@@ -63,10 +63,11 @@ class ImgType(WidgetType):
     async def to_code(self, w: Widget, config):
         if src := config.get(CONF_SRC):
             lv.img_set_src(w.obj, await lv_image.process(src))
-        if (cf_angle := config.get(CONF_ANGLE)) is not None:
-            pivot_x = config[CONF_PIVOT_X]
-            pivot_y = config[CONF_PIVOT_Y]
+        if (pivot_x := config.get(CONF_PIVOT_X)) and (
+            pivot_y := config.get(CONF_PIVOT_Y)
+        ):
             lv.img_set_pivot(w.obj, pivot_x, pivot_y)
+        if (cf_angle := config.get(CONF_ANGLE)) is not None:
             lv.img_set_angle(w.obj, cf_angle)
         if (img_zoom := config.get(CONF_ZOOM)) is not None:
             lv.img_set_zoom(w.obj, img_zoom)
diff --git a/esphome/const.py b/esphome/const.py
index a23bcb887e..4a0e1354a8 100644
--- a/esphome/const.py
+++ b/esphome/const.py
@@ -1085,6 +1085,7 @@ UNIT_KILOWATT = "kW"
 UNIT_KILOWATT_HOURS = "kWh"
 UNIT_LITRE = "L"
 UNIT_LUX = "lx"
+UNIT_MEGAJOULE = "MJ"
 UNIT_METER = "m"
 UNIT_METER_PER_SECOND_SQUARED = "m/s²"
 UNIT_MICROAMP = "µA"